By solving a linear equation, we will see that the points are vertical only if the value of x is -2.
For which value of x are the points vertical?
We say that two points (x₁, y₁) and (x₂, y₂) are vertical if the points have the same x-component and different y-component, so we must have:
x₁ = x₂
y₁ ≠ y₂
In this case, the two points are:
F(3-2x, 12) and G(x+9, 7)
The y-component is different, so we only need to have:
3 - 2x = x + 9
This is a linear equation, below I will solve it:
3 - 2x = x + 9
3 - 9 = x + 2x
-6 = 3x
-6/3 = x
-2 =x
The points are vertical if x = -2.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
[tex] \huge \quad \: \bf \: Question : [/tex]
Differentiate the following equations and write coefficients of terms in form of English alphabets. [ like : 12 = L ]
1st :
[tex] \rm \dfrac{d}{dx} ({x}^{2} ) = [/tex]
Required English Alphabet = ?
2nd :
[tex] \rm \dfrac{d}{dx} (3{x}^{5} ) = [/tex]
Required English Alphabet = ?
3rd :
[tex] \rm \dfrac{d}{dx} (9{x}^{2} ) = [/tex]
Required English Alphabet = ?
4th :
[tex] \rm \dfrac{d}{dx} (3{x}^{3} ) = [/tex]
Required English Alphabet = ?
5th :
[tex] \rm \dfrac{d}{dx} (2{x}^{7} ) = [/tex]
Required English Alphabet = ?
6th :
[tex] \rm \dfrac{d}{dx} ({x}^{7} ) = [/tex]
Required English Alphabet = ?
Next : Write the Alphabets in order of questions ~
Answer should be in this format :
" (1st 2nd 3rd 4th 5th 6th) "
The differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].
Given that, [tex]\frac{d}{dx}x^{2}[/tex].
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
Differentiate using the Power Rule which states that [tex]\frac{d}{dx}x^{n}=nx^{n-1}[/tex].
1) [tex]\frac{d}{dx}x^{2}=2x[/tex]
2) [tex]\frac{d}{dx}(3x^{5})=15x^4[/tex]
3) [tex]\frac{d}{dx}(9x^{2})=18x[/tex]
4) [tex]\frac{d}{dx}(3x^{3})=9x^{2}[/tex]
5) [tex]\frac{d}{dx}(2x^{7})=14x^6[/tex]
6) [tex]\frac{d}{dx}(x^{7})=7x^6[/tex]
Therefore, the differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].
To learn more about the differentiation of an equations visit:
https://brainly.com/question/25731911.
#SPJ1
Which of the following functions translates the graph of the parent function f(x)=x^2 vertically up 3 units?
Solution
The parent function
Now
translates the graph of the parent function f(x)=x^2 vertically up 3 units
The final answer
Option A
[tex]g(x)=x^2+3[/tex]What is the explination to the answer if I factor out the coefficient of 3/8d+3/4?
The fraction of coefficient factor out is 3/8.
What is Fraction?
A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals. The numerator and denominator of positive common fractions are natural numbers.
The given expression is , 3/8d+3/4
From this, we have to eliminate the fraction for that we have to make common denominators like that,3/8 d + (3 * 2) / (4 * 2)=> 3/8 d + 6/8
Next, take out the common value i.e, 3/8=> 3/8 ( d + 2)
Therefore, the coefficient factor out is 3/8.
To read more about the Fraction
https://brainly.com/question/78672
#SPJ13
Find the sum of the hundred even numbers from 0 to 398
Answer:
39800
i hope that this helps you
Marsha says that she has a whole candy bar. Jose says that he has 100% of a candy bar.Explain who is correct.
Both are correct. One expression is literal expression ( whole candy bar). The other expression is mathematical expression ( 100% of a candy bar).
So both expressions are the same
Use the scatter plot to answer the question. The points in the scatter plot rapidly decrease from x=negative 10 to x=0, then the remaining points cluster around the line y=negative 6.© 2018 StrongMind. Created using GeoGebra. Which type of function best models the data in the scatter plot?A. exponentialB. quadraticC. linearD. square root
It looks exponential
A
what is the value of n in the equation n = 0n = 2n = 4n = 6
The value for the n is undefined, 3, 3/2.
In this problem, we are dealing with equations where equations are mathematical statements containing two arithmetical expressions on both sides of the sign of 'equal to (=)'. It appears the relationship of equality between the expression composed on the left side with the expression composed on the proper side. In each condition we have, (L.H.S = R.H.S), left hand side = right-hand side. Conditions can be fathomed to discover the value of an unknown variable representing an unknown amount. If there's no 'equal to' symbol within the statement, it implies it isn't a condition. It'll be considered as an expression. Equations with 1 as the degree are considered linear equations. Equations with degree 2 are quadratic equations and the last Equations with degree 3 are known as cubic equations.
So , for 0n = 6 , it undefined as the L.H.S becomes zero
for 2n=6 => n=6/2=3
for 4n=6=> n=6/4=3/2
To know more about equations refer to the link https://brainly.com/question/19163517?referrer=searchResults.
#SPJ9
Answer:
n = 2
Step-by-step explanation:
edge
Answer the 3 question in the photo for EASY points ( 20 points )
In gym class, a student can do 40 sit-ups in 60 seconds and 100 sit-ups in 150 seconds.
Graph the proportional relationship.
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 60
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 30
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 50
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30
By using the linear equation y=3x we draw the graph for proportional relationship.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same
the graph of any proportional relationship is characterized by a straight line with data points passing through the origin (0, 0).
By the definition of proportional relationship of graph, we can reduce relationship between the values on the x-coordinate and y-coordinate of the given graph
As they are proportional and represented by euation
y = 3x
Where, x represent the time and y represent the number of sit-ups.
Hence by using the linear equation y=3x we draw the graph for proportional relationship.
To learn more on Graphs click:
https://brainly.com/question/17267403
#SPJ1
Cylon Raiders attack the Battlestar
Galactica at regular time intervals called
centons, that form three consecutive odd
Integers whose sum is 75. Find the number of
centons between each Cylon attack.
The number of centons between each Cylon attack are 21, 23 and 25.
What are the number of centons?An odd number is a number that is not perfectly divisible by 2. For example, 3 is an odd number because it is not perfectly divisible by 2.
A consecutive number is a number that follows each other on the number line. Consecutive odd numbers are odd numbers that follow each other on the number lines.
Let x represent the first odd number.
The next odd number : x + 2
The third odd number : x + 4
x + (x + 2) + (x + 4) = 75
Add similar numbers: 3x + 6 = 75
3x = 75 - 6
3x = 66
x = 21
The second numbers : 21+ 2 = 23
The third number = 21 + 4 = 25
To learn more about odd numbers, please check: https://brainly.com/question/2057828
#SPJ1
Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). find the product. the coefficient of the product of (-5xy2) and (-4x2y) is . the exponent of x in the product is , and the exponent of y is .
The coefficient of the product of (-5 x y²) and (-4 x²y) exists 20 .
The exponent of x in the product exists 3, and the exponent of y exists 3.
What is meant by exponent?A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. Mn denoted that m has been multiplied by itself n times if m exists a positive number and n exists its exponent.
We exists to determine the product of (-5 x y²) and (-4 x² y)
The product of (-5 xy²) and (-4 x²y) can be defined as shown below
-5xy² × -4x² y
simplifying the above equation, we get
-5 × -4 × x × x² × y² × y
⇒ 20 × x³ × y³
⇒ 20 x³ y³
The product of the given expressions is 20 x³ y³
Therefore, the coefficient of the product is 20.
The exponent of x in the product exists 3 and the exponent of y exists 3.
To learn more about exponent refer to:
https://brainly.com/question/13669161
#SPJ4
what is −k−(−8k)? Im so confused i need desperate help!!!
Answer:
Step-by-step explanation:
-k-(-8k)
When there are 2 negatives, it becomes a plus. So, -(-8k) would become
+(8k).
So, -k-(-8k):
-k+8k Open parentheses and then subtract because there is a negative.
7k Answer.
I hope this clears things up a little!
M is the midpoint of CF for the points C(4, 10) and F(10, 10). Find MF.
The length of the segment MF will be 6 units.
What is coordinate geometry?
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that M is the midpoint of CF for the points c(4,10) and f(10,10). To calculate the segment MF first let us calculate the midpoint M.
M = [ ( x₁ + x₂ ) / 2, ( y₁ + y₂ ) / 2 ]
M = [( 4 + 10 ) /2 , ( 10+10 ) / 2]
M = ( 7, 10)
The length of the segment MF will be:-
D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]
D = √ [ ( 10-10 )² + ( 10 - 4 )² ]
D = √36
D = 6
Therefore, the length of the segment MF will be 6 units.
To know more about coordinate geometry follow
brainly.com/question/18269861
#SPJ1
Fred is training for a cross-country race. At practice last week, he ran 6.25 miles in 1 1 4 hours. At that speed, how long would it take Fred to run 8.5 miles?
At the given speed it will take Fred 1.7 hours to run 8.5 miles.
An object's direction and rate of further travel are both regarded as parts of its velocity. By observing how fast and in which direction an object is moving, you may estimate its velocity.
Similar to speed, but also taking direction into account .Speed is hence directionless, but velocity denotes direction. Speed only offers a numerical representation of your speed.
Time taken by Fred to cover 6.25 miles = 1 1/4 = 1.25 hours
Speed of Fred = 6.25/1.25 = 5 miles per hour.
Distance to cover =8.25 miles
Time taken =8.25/5 = 1.7 hours.
Due to the addition of direction, velocity shows how quickly you are shifting your location. Because of this mismatch, if you travel very swiftly while your location stays the same, your velocity will only be 0.
Hence the time taken will be 1.7 hours.
to learn more about speed visit:
https://brainly.com/question/7359669
#SPJ9
please help me on thisss
Answer: The first one
Step-by-step explanation:
your company wants to purchase swag gear for employees. they bought 5 sample merchandise at $ 450 each, 4 sample signs at $ 750 each, and 12 chromebooks with logo at $ 750 each. what is the average spent per article?
The company spent average amount $678.57 per article.
Average spent per article is calculated using the formula -
Average = sum of all observations ÷ total number of observations
In the question, observations are the different items bought by the company.
Amount spent on sample merchandise = 5 × 450
Amount spent on sample merchandise = $2250
Amount spent on sample signs = 4 × 750
Amount spent on sample signs = $3000
Amount spent on chromebooks = 12 × 750
Amount spent on chromebooks = $9000
Total amount spent = 2250 + 3000 + 9000
Total amount spent = $14,250
Number of articles = 5 + 4 + 12
Number of articles = 21
Average = 14,250 ÷ 21
Average = $678.57
Thus, the average spent per article is $678.57.
Learn more about average -
https://brainly.com/question/20118982
#SPJ4
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The c
at least 380 tons of regular-grade and 610 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 17 tons o
hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $
operating cost of the second mine is $28,000 per hour. The first mine can be operated no more than 40 hours a week, and the second ml
more than 27 hours a week. How many hours per week should each mine be operated to minimize the cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer :
first mine : 40 hour(s)
Second mine : 7 hour(s)
What is the value of p will the function be continuous?
The value of p that will guarantee the continuity of the function is given as follows:
p = 6.5.
What is the continuity concept?A function defined by f(x) is continuous at a point x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
In the context of this problem, the continuity of the function will be guaranteed if the lateral limits at x = -1 are equal.
To the left of x = -1, the function is less than -1, hence the lateral limit is:
lim x -> -1^- f(x) = lim x -> -1 (-2x² - 8x + 3) = -2(-1)² - 8(-1) + 3 = 9.
To the right of -1, the function is greater than -1, hence the lateram limit is:
lim x -> -1^+ f(x) = lim x -> -1 (4x + 2p) = 4(-1) + 2p = -4 + 2p.
The lateral limits have to be equal for the function to be continuous, hence:
-4 + 2p = 9
2p = 13
p = 13/2
p = 6.5.
More can be learned about the continuity of a function at https://brainly.com/question/24637240
#SPJ1
What percentage of this shape is shaded?
36% of the shape is shaded in the given figure.
What is termed as the percentage?The term percent is derived from the Latin texts per centum, which means "by the hundred," so a percent indicates however many parts you possess out of a total of 100. Percentages can be expressed as fractions as well as decimals. Simply divide a percentage by 100 to get a fraction. Percentages are simple to calculate if you have exactly 100 items, but it is uncommon for the quantity of an item to be exactly 100.For the given question.
The shape of the boxes with some shaded part is given.
The total number of small parts in the figure is 25.
The total of shaded parts is 9.
Let 'x' be the percentage of shaded region.
Then,
x% of 25 = 9
25x/100 = 9
x = 900/25
x = 36%
Thus, the shaded percentage is found as 36%.
To know more about the percentage, here
https://brainly.com/question/24304697
#SPJ13
Use the graph of f(x) = √x to graph each function.
7. g(x)=√x- 4
8. g(x)=√x +3
9. g(x)=√x + 6 − 4
10. g(x)=√x - 7+3
Use the graph of f(x) = 1/x to graph each function.
11. g(x) = 1/x +4
12. g(x) = 1/x - 6
13. g(x) = 1/x-6 + 8
14. g(x) = 1/x+7 -4
the graphs are attached herewith , where the label of the graph are :
along X-axis: 1 square division = 10 units
along y-axis: 1 square division: 10 units
The problem we dealing with is related to manipulating graphs.For the question 7 to 10, the commonly given function is f(x)= √x, if the g(x) is nothing but the f(x-c) or f(x+c), so for the g(X) to be f(x-c), then a graph of that particular function turns to stretch downward whereas, for the f(x+c), it stretches upward.
So, for 7 g(x)=√x- 4 where -4 is c so the g(x) = f(x-c) so the point for the graphs will stretch downward compare to the pint of the functions f(x)= √x.
8. g(x)=√x +3
here g(x)= f(x+3), so the pints stretched upward
9. g(x)=√x + 6 − 4=√x + 2
here additional number for the points ar 2, as it positive one, so the point of the function g(x), stretches upward
10. g(x)=√x - 7+3=√x -4
here the c is -4, so the point of the g(x), stretches downward.
Same for the questions 11 to 14, the common function is f(x) = 1/x ,for which which g(x) = f(x-c) or f(x+c), for positive c , the graph stretches upward otherwise it moves downward
11. g(x) = 1/x +4
here the c is positive, the graph stretches upward for the g(x)
12. g(x) = 1/x - 6
here the c is negative, the graph stretches downward for the g(x)
13. g(x) = 1/x-6 + 8= 1/x+2
here the c is positive, the graph stretches upward for the g(x)
14. g(x) = 1/x+7 -4= 1/x+3
here the c is positive, the graph stretches upward for the g(x)
To know more about graph manipulation refer to the link https://brainly.com/question/16636362?referrer=searchResults.
#SPJ9
Ten years ago, Ade's age was half the age of his brother Femi. Today, Ade is 12 years old. How old is Femi now?
Answer: Femi is 14 years old
Step-by-step explanation: ten years ago ade was 2 and ade is half the age of Femi so that means Femi was 4 at that time since 2 is half of 4 and since he is 12 ten years later Femi is 14 ten years later.
Please help!!! I need an answer quick
is wine sir jacque the a beauty for the universe and
A bear cub weighs 8,800 grams in
March. After three months, it weighs
68.2 kg. How much weight did the cub
gain during the three months?
Answer:33 oz in march
Step-by-step explanation:
Sandra is using the point-slope form y - y₁ = m(x-x₁) to graph the equation y+2=(x-3). She completed the following steps.
Step 1: Plot a point at (3, 2).
Step 2: Plot a point 5 units up and 4 units left from (3, 2), at (-1, 3).
Step 3: Connect the points with a line.
In which step did Sandra make her first mistake?
What mistake did Sandra make?
She make mistake in her first step. She plot a point at (3,2) instead of (3,−2).
Sandra is using the point-slope form [tex]y - y_{1} = m(x-x_{1})[/tex] to graph the equation [tex]y+2=(x-3)[/tex].
She completed the following steps.
1) Firstly she plot a point at (3,2)
2) Then she plot a point 5 units up and 4 units left from (3,2), at (−1,3).
3) Then she connect the points with a line.
She using the point slope for to graph the equation.
The point slope form is [tex]y - y_{1} = m(x-x_{1})[/tex].
The equation is [tex]y+2=(x-3)[/tex].
Now we compare the given equation to the point slope form.
After comparing we get
[tex]y_{1}[/tex] = -2 and [tex]x_{1}[/tex] = 3
So we have to plot a point at (3,-2) but she plot point at (3,2).
She make mistake in her first step.
To learn more about point slope link is here
https://brainly.com/question/24436844
#SPJ1
On a trip, you had to change your money from dollars to British pounds.
You got 560 pounds for 800 dollars.
Which is a unit rate that describes the exchange?
A. 135 pounds per dollar
B. 0.625 pounds per dollar
C. 137 pounds per dollar
D. 0.7 pound per dollar
Answer:
D.
Step-by-step explanation:
To find the unit rate, divide both numbers. So, divide 560/800
The answer is 0.7.
Answer each part. If necessary, round your answers to the nearest hundredth.
(a) Jim bought 11 pounds of flour for $5.
How many dollars did he pay per pound of flour?
dollars per pound
(b) At Davidson's Bike Rentals, it costs $20 to rent a bike for 4 hours.
How many dollars does it cost per hour of bike use?
dollars per hour
Answer:
i think a
Step-by-step explanation:
Answer: a.) $2.20 dollars per pound of flour. b.) $5 dollars per hour
Step-by-step explanation:
Name the slope and one point that is on the line represented by the equation: X=-2
Answer:
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point with the given
slope.
through: (4, -1), slope = -1/2
Answer: y=-1/2x+1
Step-by-step explanation: plug in numbers to find y intercept (b).
-1=-1/2(4)+b
-1=-2+b
b=1
y=-1/2x+1
Kelvin is building a gazebo and wants to brace each corner by placing a 10" piece of wood
diagonally as shown. How far from the corner should he fasten the wood if he wants the distances from the corner
to be equal? Approximate to the nearest tenth of an inch.
Kelvin should fasten each piece of wood approximately 7.1 from the corner.
What is the Pythagoras theorem?The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.
a² + b² = c²
a = b
So,
2a² = c²
a² = 100/2
a = [tex]\sqrt{50}[/tex]
a = 7.1
To know more about Pythagoras theorem ,visit:
brainly.com/question/343682
#SPJ13
without graphing f(x) = 3x - 1.3, determine if the graph goes through each point (1/3, -0.3). Answer quick i will give brainliest
Answer:
Yes, it does.
Step-by-step explanation:
The most appropriate choice for function and graph of a function will be given by-
The graph passes through [tex](\frac{1}{3}, -0.3)[/tex]
What is function and graph of a function?
A function from A to B is a rule that maps to each elements of A, a unique element of B.
A is the domain of the function and B is the co-domain of the function.
A collection of all points of the form [tex](x, f(x))[/tex] is called graph of the function.
Here,
[tex]f(x) = 3x - 1.3[/tex]
Putting [tex]x = \frac{1}{3}[/tex]
[tex]f(\frac{1}{3}) = 3 \times \frac{1}{3} -1.3\\[/tex]
[tex]= 1-1.3\\[/tex]
[tex]= -0.3[/tex]
So, the graph passes through [tex](\frac{1}{3}, -0.3)[/tex]
To learn more about function and graph of a function, refer to the link:
https://brainly.com/question/26857518
#SPJ9