consider the following problem: a farmer with 750 ft of fenc- ing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. what is the largest possible total area of the four pens?
Answers
The largest possible total area of the four pens is 14,062.5 ft.²
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.
Diagrams illustrating the situation can be formed adjusting the width of the included diagram illustrating the general situation.
The expression for the total area is A=( 150- (2Y)/5 ) Y
Reasons:
The given parameter are;
Length of fencing available = 750 ft.
Area to be enclosed = Rectangular
Number of included pens with parallel fencing = Four
Let Y represent the width of the area and let X represent the breadth
Therefore, we have;
2·Y + 5·X = 750
Which gives;
X=(750/5)-(2Y/5)=150-(2Y/5)
The area is therefore;
A=Y [150-(2Y/5)] = 150Y-(2Y²/5)
Differentiate with respect to Y and equate to zero
dA/dY = 150- (4Y/5)=0
Y=(150*5)/4 = 187.5
The width of the maximum area, Y = 187.5 ft.
Which gives;
X=150- (2*187.5)/5 = 75
The breadth of the area, X = 75 ft.
The maximum area, = Y × X, which gives;
= 187.5 ft. × 75 ft. = 14,062.5 ft.²
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Related Questions
Q8.
(a)
Work out the value of
(√2)^4
Answers
[tex]=\sqrt{2} *\sqrt{2} *\sqrt{2} *\sqrt{2} \\=(\sqrt{2} *\sqrt{2})(\sqrt{2} *\sqrt{2})\\=2*2\\=4[/tex]
The answer is 4
The value of [tex](\sqrt2)^4[/tex] is 4.
The number of times a number has been multiplied by itself is referred to as its exponent. The rules of multiplying exponents are of different types. The given equation can be calculated using the Power of a Power rule.
According to this rule, when a base has an exponent, and that entire term has an exponent, the exponents are multiplied together. This is written as
[tex](a^x)^y=a^{xy}[/tex]
Here, both exponents are multiplied together.
Therefore, using the above rule the given square root with an exponent can be written as,
[tex]\begin{aligned}\left(\sqrt2\right)^4&=\left(2^{\frac{1}{2}\right)^4\\&=2^{\frac{1}{2}\times4}\\&=2^2\\&=4\end{aligned}[/tex]
The value is 4.
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Mohammed is trying to find angle h. He finds angle g first and then he finds angle h from angle g.
a) Which angle fact does he use to find angle g
b) which angle fact does he then use to find angle h
Answers
a. The angle fact that Mohammed can use to find angle g is alternate angles
b) The angle fact that he then use to find angle h is alternate interior angles.
What is an alternate angle?When two parallel lines are cut by a transversal, the resulting alternate interior angles or alternate exterior angles are congruent, according to the alternate angle theorem. To demonstrate: If a transversal cuts two parallel lines, the alternate interior angles are equal.
When two parallel lines are intersected by a transversal, the angles formed inside them are equal to their alternate pairs. These are known as alternate interior angles.
In this case, it should be noted that the angles will be 137° based on the illustration.
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#8 i
Write an equation of the line passing through the point A(3,-4) that is parallel to the line y = -x +8.
y =
1/x+1242
Answers
Answer:
y = -x -1
Step-by-step explanation:
You want an equation of the line parallel to y=-x+8 through point (3, -4).
Parallel lineThe parallel line will have the same slope as the given line. That slope is the coefficient of x: -1.
Point-slope formThe point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m=-1, (h, k) = (3, -4), so the desired line has equation ...
y -(-4) = -1(x -3)
y +4 = -x +3 . . . . . . point-slope form
Slope-intercept formAdd -4 to get this to slope-intercept form.
y = -x -1 . . . . . . . . . slope-intercept form
been stuck on these last 2 questions. can anybody help? thanks in advance!
Answers
The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9
Equation of the line:
The standard form of the equation of the line is written as
y = mx + b
here
x and y represents the coordinates of the equation
m refers the slope of the equation
b refers the y intercept of the equation
Given,
Here we have the points (7, -2) and (11, 5).
Now we have to find the equation that passes through this points.
If you want to find the equation of the line, we have to find the slope and the intercept of the line.
The slope of the line is calculated by using the given point (7, -2) and (11, 5),
=> m = (11 - 7) / ( 5 - (-2))
=> m = 4/7
Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,
=> 5 = (4/7) (11) + b
=> 35 = 44 + b
=> b = -9
Therefore, the equation that passes through the points is y = 4/7x - 9
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A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles.
What is the actual length of the park in miles?
What is the actual width of the park in miles?
miles
What is the actual area of the park in square miles?
miles squared
Answers
The actual area of the park in square miles is 21600 miles².
A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles.
* Lets explain how to solve the problem
- A drawing that shows a real object with accurate sizes reduced or
enlarged by a certain amount called the scale
- Drawing scale is a ratio between the drawing length and the
actual length
- To find the actual dimensions from the drawing dimensions use the
scale drawing
* Lets solve the problem
- A map of a rectangular park has a length of 4 inches and a width
of 6 inches
∴ The drawing dimensions are:
# length = 4 inches
# width = 6 inches
- The scale of the map is 1 inch for every 30 miles
∴ The scale drawing is 1 : 30
- To find the actual area find the actual dimensions
∵ The scale drawing is 1 : 30
∵ The length = 4 inches and the width = 6 inches
- By using cross multiplication
∴ 1 : 30
4 : actual length
6 : actual width
∴ Actual length = (4 × 30)/1 = 120
∴ Actual length = 120 miles
∴ Actual width = (6 × 30)/1 = 180
∴ Actual Width = 180 miles
∴ The actual dimensions are 120 miles and 180 miles
∵ The area of any rectangle = length × width
∴ The actual area = 120 × 180 = 21600
∴ The actual area 21600 miles²
Hence the answer is the actual area of the park in square miles is 21600 miles².
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1. The quality control manager at a light bulb factory needs to estimate the mean life of a new type of light-bulb. The population standard deviation is assumed to be 50 hours. A random sample of 30 light-bulbs shows a sample mean life of 475 hours. Construct and explain a 90% confidence interval estimate of the population mean life of the new light-bulb. 2. A survey of first-time home buyers found that the sample mean annual income was $46,000. Assume that the survey used a sample of 20 first-time home buyers and that the sample standard deviation was $1,200. Compute and explain a 95% confidence interval estimate of the population mean. 3. A telephone poll of 750 American adults asked "where would you rather go in your spare time?" One response, by 275 aduits, was "the Mall. Compute and explain a 99% confidence interval estimate of the proportion of all American adults who would respond "the Mall". 4. For problem #1 above, what size sample would be needed to achieve a margin of error of 15 hours or less? 2. A survey of first-time home buyers found that the sample mean annual income was $46,000. Assume that the survey used a sample of 20 first-time home buyers and that the sample standard deviation was $1,200. Compute and explain a 95% confidence interval estimate of the population mean cer
Answers
At 95% of confidence interval estimate of the population is
(478.332, 471.668)
Given that,
Population standard deviation is assumed to be 50 hours.
Random sample of 30 light bulb
and, sample mean of 475 hours.
Sample size n =30,
x = 475 and σ = 50
At 95% confidence interval for μ is,
x ± zₙ₎₂ σ /n -------------------- (1)
We already know that the table value of z = 1.96
At 95% confidence interval,
putting the values in equation (1),
x ± zₙ₎₂ σ /n
= 475 ± 1.96 × 50/30
Taking the positive sign, we get,
= 475 + 1.96 × 1.7
= 475 + 3.332
= 478.332
Now,
Taking the negative value, we get,
= 475 - 1.96 × 1.7
= 475 - 3.332
= 471.668
Therefore, At 95% of confidence interval estimate of the population is
(478.332, 471.668)
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true or false stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.
Answers
The stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.
It is the true statement.
Given,
In the question:
Stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.
To check the above statement is true or false.
Now, According to the question:
Let's know about
Stratified random sampling:Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members' shared attributes or characteristics, such as income or educational attainment.
In stratified random sampling, the strata are formed based on member's shared characteristics (e.g. female or male, occupation, education) or attribute (e.g. black or white).
Hence, The stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.
It is the true statement.
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please help me solve this.
Answers
Answer:
a) gradient
b) Line A and Line C
Step-by-step explanation:
Parallel lines are lines that have the same slope - they never intersect! Another name for slope is gradient.
Of all the lines in the image, only Line A and Line C will never intersect! They are parallel!
b) C parallel to A
Write the equation of the function in slope-intercept form:
A line with a slope of 2 and passes through (-8, 3)
Answers
Answer:
y = -2x-13
1) plot the coordinate you have on a graph (starting at (0,0) move to the left until you hit -8 and then up until you are at +3)
2) Since your slope is negative the line will be higher on the left and lower on the right, so starting at the point you have plotted move down 2 units and to the right one unit.
3) Do this until you intersect with the y-axis (at -13), this is your value for 'b'
4) Plug your values for 'b' and 'm' into the slope-intercept equation
1. In the following figure, തതതത is the bisector of ∠BAC. GE is perpendicular to AB, GF is perpendicular to AC.
Andrea says that ∆ ≅ ∆ by the AAS congruence postulate. Do you agree or disagree? Explain
Answers
Based on the information given in the figure, you will agree with Andrew because ∆AEG ≅ ∆AFG by the AAS congruence postulate.
What is the AAS Congruence Postulate?Two triangles that have a pair of congruent included sides that is non-included and two pairs of corresponding angles are proven to be congruent to each other by the AAS congruence postulate.
In the figure shown above, the following information are ascertained:
Side AG is congruent to side AG by the reflexive property Angle AEG and angle AFG are congruent to each other because they are both right angles.Angle GAF and angle GAE are congruent to each other because they are angles formed when angle BAC is bisected line AD.Thus, the above information shows that triangle AEG has two angles and one non-included side that are congruent to two corresponding angles and one non-included side in triangle AFG.
Therefore, you will agree with Andrea for stating that ∆AEG ≅ ∆AFG by the AAS congruence postulate.
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is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)
9
8
7
6
S
4
3
2
y
01
OA
4 5 6 7 8 9
G
Yes; Each x-value has a unique y-value.
Yes; Each y-value has a unique x-value.
No: Two points have different y-values for the same x-value of 2.
No: Two points have different x-values for the same y-value of 2.
Helppppp pls
Answers
The relation is shown in the graph is not a function. Two points have different y-values for the same x-value of 2.
What is a relation?
A relation in mathematics describes the connection between two sets of values for ordered pairs. The set of items in the first set are referred to as domain, and they are connected to the set of elements in the second set, referred to as range.
What is a function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
A relation becomes a function if there is an unique output for each input.
The given ordered pairs are (0, 0), (2, 0), (2, 2), and (3, 4).
First element of each ordered pair is the input and second element is output.
The inputs are 0, 2, 2,3. The outputs are 0, 0, 2, 4 .
For the input 2, there are 2 outputs 0 and 2.
The given relation is not a function.
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Olivia helps paint a square mural in her classroom. Then she helps paint a mural in the hallway whose length is 5 feet longer and whose width is 2 feet shorter. Let x represent the side length of the mural in Olivia's classroom write an expression that represents the two binomials you would multiply to find the area of the hallway mural. Use that expression to find the area of the hallway mural if each side of the classroom mural is 7 feet long.
Answers
Step-by-step explanation:
The square mural in Olivia's classroom has dimensions x by x.
Then she paints a mural of dimensions: x+5 (the length) by x-2 (the width).
Thus the second mural (the hallway mural) has the shape of a rectangle with dimensions (x+5) by (x-2), so the area of the second mural is
(x+5)(x-2).
each side of the classroom mural is 7 feet means that x = 7 ft,
thus the area of the hallway mural is :
(x+5)(x-2)=(7+5)(7-2)=12*5=60 (square feet)
So the answer is 60 square feet.
the population is decreasing at a rate of 2%2% per year. if the population is 28,80028,800 today, what will the population be in 99 years? round your answer to the nearest whole number, if necessary.
Answers
By using the concept of depreciation, it is obtained that
New population after 9 years = 24012
What is Depreciation?
Depreciation is the decrease in the value of a population or any asset over a period of time at a certain rate.
The concept of depreciation has been used here
Original population = 28800
Rate of decrease of population = 2%
Time = 9 years
New population after 9 years = [tex]28800(1 - \frac{2}{100})^9[/tex]
= [tex]28800({1 - \frac{1}{50})^9\\[/tex]
= [tex]28800(\frac{49}{50})^9[/tex]
= 24011.94
= 24012
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Multiply. (-5 5/8) • (-2 1/3) What is the product?
Answers
Answer:
105/8 = 13 1/8 = 13.125
Step-by-step explanation:
The first step is to turn the (-5 5/8) into a mixed number. The mixed number you should be getting is - 45/8. The second step is to convert the (-2 1/3) into a mixed number as well, your second mixed number should be -7/3. Next multiply the two fractions, - 45/8 x (-7/3) = 315/24.
We can simplify 315/24 by dividing by 3, so you'll divide 315 divided by 3 and 24 divided by 3 and you should get ... 105/8. So 105/ 8 is equal to
13 1/8. If you need this fraction in decimal form it is 13.125.
Translate this sentence into an equation. 53 is the sum of 22 and Han's height. Use the variable h to represent Han's height.
Answers
Answer:
22 + h = 53
Step-by-step explanation:
I don't know if I am correct
Answer:
The answer is 31, H=31
Step-by-step explanation:
53-22=31 :)
What is this expression in simplified form?
Answers
Answer:
[tex]15\sqrt{5}[/tex]
Step-by-step explanation:
simplify [tex]\sqrt{20}[/tex] and [tex]3\sqrt{50}[/tex]
[tex]\sqrt{20}[/tex] simplifies into [tex]\sqrt{5}[/tex]
so [tex]\sqrt{20}[/tex] = [tex]\sqrt{4} \sqrt{5}[/tex]
we can simplify [tex]\sqrt{4[/tex] into a whole number
[tex]\sqrt{4[/tex] =2
= 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{50[/tex] simplifies into [tex]\sqrt{2[/tex]
so [tex]\sqrt{50[/tex] =3( [tex]\sqrt{25} \sqrt{2}[/tex])
we can simplify [tex]\sqrt{25}[/tex] into a whole number
[tex]\sqrt{25[/tex] = 5
= 15[tex]\sqrt{2[/tex]
then we add these simplified roots back into the question
2[tex]\sqrt{5}[/tex] + [tex]5\sqrt{2[/tex] -[tex]2\sqrt{5[/tex]
we simplify again as [tex]2\sqrt{5[/tex] cancels out
to get a final answer of:
[tex]15\sqrt{5}[/tex]
The rate of change for of y = 2x + 6 is __________.
Answers
Answer:
2
Step-by-step explanation:
the rate of change is the coefficient of x
i need help, please.
Answers
1a) The number of whole servings Susan can make from 4.25 pounds of flour if one serving uses ²/₃ is 6.
1b) The quantity of flour Susan has after making 6 servings is ¹/₄ pounds.
2) Garrison can drink ⁷/₈ gallons of lemonade each of the next six days.
3) The student council sold 122 bags of chips.
4) If a container can hold 3¹/₃ ounces of peanuts, 5 containers will hold 16²/₃ ounces.
5) The number of people at the football game (400) last night who were not wearing orange and black is 240.
6) The number of long sleeves in Jordan's outfits is 45.
How are the numbers determined?The numbers and values can be determined using suitable mathematical operations.
The basic mathematical operations used include division, subtraction, and multiplication.
1) The total quantity of flour available = 4.25 pounds
The amount of flour required per serving = ²/₃ pounds
The number of servings from 4.25 pounds = 6³/₈ servings (4.25 ÷ ²/₃)
= 6 servings.
Quantity of flour left = ¹/₄ pounds [4 - 6(²/₃)]
2) The number of lemonades available = 5.5 gallons
The quantity Garrison took on Monday = ¹/₄ gallons (0.25)
The remaining number of gallons = 5.25 gallons (5.5 - 0.25)
The gallons for the remaining 6 days = ⁷/₈ gallons (5¹/₄ ÷ 6)
3) The total amount realized from sales = $73.20
The unit price per bag of chips = $0.60
The units sold = 122 ($73.20 ÷ $0.60)
4) The ounces of peanuts per container = 3¹/₃
The number of containers = 5
The ounces of peanuts for 5 containers = 16²/₃ ounces (3¹/₃ x 5)
5) The total number of people at the game = 400
The proportion of people wearing orange and black = ²/₅
The proportion of people not wearing orange and black = ³/₅ (1 - ²/₅)
The number of people not wearing orange and black = 240 (400 x ³/₅)
6) The total number of outfits in Jordan's closet = 200
The proportion of shirts = ³/₄
The proportion of long sleeve shirts = ³/₁₀
The number of long sleeve shirts = 45 (200 x ³/₄ x ³/₁₀)
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Jenny opens a "Charity Bank Account". Any interest gained goes to a local charity.
It pays 2% per annum simple interest.
She puts £1500 into the account.
She does not make any deposits or withdrawals.
How much interest will the charity have received after 3 years?
Answers
Interest will the charity have received after 3 years is £60
Jenny opens a "Charity Bank Account". Any interest gained goes to a local charity.
It pays 2% per annum simple interest.
She puts £1500 into the account.
interest will the charity have received after 3 years
Interest = PRT/100
Interest = 1500 x 2 x 3/100
Interest = 60
Therefore, interest will the charity have received after 3 years is £60
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Find the LCM of 1 and 5 using lists of multiples.
Answers
Answer:
5
Step-by-step explanation:
Multiples of 1: 1, 2, 3, 4, 5, 6, 7, ...
Multiples of 5: 5, 10, 15, 20, 25, ...
The smallest number that appears in both lists is 5, and that is the least common multiple.
if x=-7 and y=3, calculate the values of (x+y/x-y)²
Answers
If x = -7 and y = 3, the value of the expression (x+y/x-y)² is 4/25 .
In the question ,
it is given that ,
the algebraic expression is given as (x+y/x-y)² ,
we need to find the value of the given expression when the value of x = -7 and y = 3 .
Substituting the values of x = -7 and y = 3 in the expression ,
we get
= (x+y/x-y)²
= ((-7+3)/(-7-3))²
= (-4/(-10))²
= 16/100
cancelling out the common factor 4 , from the numerator and denominator .
= 4/25
Therefore , the value of the given expression at x = -7 and y = 3 is 4/25 .
The given question is incomplete , the complete question is
Calculate the value of the expression (x+y/x-y)² at x = -7 and y = 3 ?
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write down the temperature which is 5°c below -2°c
Answers
Step-by-step explanation:
below -2°
that means
-2 - 5 = -7° C
Answer:
-7 degrees
Step-by-step explanation:
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
Answers
The equations that are equivalent include:
2 + x = 5
x + 1 = 4
-5 + x = -2
What is an equation?It is important to note that an equation is used to illustrate the relationship between the variables that are given.
In this case, the given equation is illustrated as:
2 + x = 5
Collect like terms
x = 5 - 2
x = 3
x + 1 = 4
Collect like terms
x = 4 - 1
x = 3
-5 + x = -2
Collect like terms
x = -2 + 5
x = 3
Therefore, the three equations illustrated are equal.
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1. Choose the correct answer.
Which theorem, term, or corollary is represented by the picture? The bold lines in the pictures represent the hypothesis of the theorem or corollary.
Converse to the Isosceles Triangle Theorem
Corollary 1 to the Isosceles Triangle Theorem
CPCTC
Corollary 2 of the Isosceles Triangle Theorem
Isosceles Triangle Theorem
Answers
The equilateral triangle shown has three sides and three angles that are all the same. This should be the equilateral triangle theorem, however the answer selections do not cover it.
What is equilateral triangle?An equilateral triangle is a triangle with three equal-length sides in geometry. An equilateral triangle's sides are congruent, which indicates that all sides are the same length. All of the inner angles are also identical (60 degrees). An equilateral triangle is a triangle with all of its sides equal in length. Because the three sides are equal, the three angles opposing the equal sides are also equal in size. As a result, it is also known as an equiangular triangle, with each angle measuring 60 degrees.
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Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has 3 cities, 1 month, and 3
airlines to choose from. How many different vacation packages do they offer?
Answers
If the agency has 3 cities, 1 month, and 3 airlines to choose from. then there are 9 different vacation packages they can offer.
What is the multiplication rule in permutation and combination?
1. Using the multiplication principle, we can count the number of ways to complete a sequence of tasks by multiplying the number of ways to complete each task together.
2. A permutation is a particular arrangement of objects.
Peaceful Travel Agency offers vacation packages.
If the agency has 3 cities, 1 month, and 3 airlines to choose from.
then by using the multiplication rule,
The number of different packages = 3 × 1 × 3
= 9 packages
Hence, If the agency has 3 cities, 1 month, and 3 airlines to choose from. then there are 9 different vacation packages they can offer.
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Please help in the first 1,2 and the other page do one of them FOR 50 Points
Answers
The solutions to the rectangles located on the coordinate plane questions in the first page are;
1. Jordan ran a total distance of 6 miles
2. The fourth vertex is located at (5.5, -3.5)
3. The area of the pool is 48 square yards
What is the area occupied by a shape?The area of a figure is the region covered by the closed boundary of the shape or figure.
1. The coordinates of the points expressed as decimals are;
H(-0.75, 0.5), B(1, 0.5), L(1, -0.25), (0.5, -0.25), C(0.5, -0.75), S(-0.75, -0.75)
The distances between the points Jordan visited are;
HB = 1 - (-0.75) = 1.75
BL = |-0.25 - 0.5| = 0.75
LP = |0.5 - 1| = 0.5
PC = |-0.75 - (-0.25)| = 0.5
SC = |-0.75 - 0.5| = 1.25
SH = 0.5 - (-0.75) = 1.25
The total distance Jordan ran = 1.75 + 0.75 + 0.5 + 0.5 + 1.25 + 1.25 = 6
The total distance Jordan ran is 6 miles
2. The shape of the piece of material = A rectangle
The vertices of the rectangle are; (-1.2, -3.5), (-1.2, 4.4) and (5.5, 4.4)
The above vertices indicates that the sides of the rectangle are parallel to the x and y-axis as each two of the three points share a common coordinate
(-1.2, -3.5) and (-1.2, 4.4) represent a vertical side
(-1.2, 4.4) and (5.5, 4.4) represent a horizontal side
Therefore, based on plotting the points on the coordinate plane using MS Excel, we have;
(-1.2, -3.5) and (5.5 ,-3.5) will represent the other horizontal side
(5.5, 4.4) and (5.5, -3.5) represents the other vertical side
The coordinates of the fourth vertex is (5.5, -3.5)
3. The vertices of the pool are;
A(-5, 7), B(1, 7), C(1, -1), and D(-5, -1)
The length of the sides of the pool are;
AB = 1 - (-5) = 6
BC = 7 - (-1) = 8
CD = 1 - (-5) = 6
AD = 7 - (-1) = 8
The length of the rectangular pool = 8 yards
The width = 6 yards
The area of a rectangle = Length × Width
Area of the pool = 8 yard × 6 yards = 48 square yards
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Find the sum of the interior angles of the polygon
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Answer:
Step-by-step explanation:We can find the sum of interior angles of any polygon using the following formula: where nis the number of sides of the polygon. For example, we use $latex n = 5$ for a pentagon. This formula works regardless of whether the polygon is regular or irregular.
Someone pls help me. i dont understand this at all :c
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The equation for the function described, using the translations, is given as follows:
f(x) = 2^(x - 4) + 5.
What are the translations to a function?There are four cases for the translation of a parent function, and they can be represented as follows:
Horizontal translation left a units: f(x + a).Horizontal translation right a units: f(x - a).Vertical translation up a units: f(x) + a.Vertical translation down a units: f(x) - a.In the context of this problem, the parent function is defined as follows:
f(x) = 2^x
The definitions for each translation are given as follows:
Horizontal shift right four units: f(x - 4).Vertical shift up five units, considering the horizontal shift right four units: f(x - 4) + 5.Hence the translated function is defined as follows:
f(x) = 2^(x - 4) + 5.
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The missing quantity in the double number line
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Answer: 1840 pounds
Step-by-step explanation:4x4=16
460 x 4 = 1840
Given that line t is the perpendicular bisector of Jk, JG=x+12, and KG=3x-17, find KG