The x-intercept of the graph of y = x² - 4x + 4 is x = 2.
By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.
The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.
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together Larry and Lenny have $\$$35. Larry has two-fifths of Lenny's amount. How many more dollars than Larry does Lenny have
The answer which we get after calculating from the data given is that Larry has 15 dollars more than Lenny.
Let the amount which Lenny is having be x
then the amount which Larry is having will be (2/5)x
and on combining them it makes $35 .
Which means, x + 2x/5 = 35
On simplifying this equation we will get ,
(7/5)x= 35 ,
multiplying both the sides by 5/7
x= (5/7)*35 = $25
Therefore , Lenny is having 4 25.
So Larry must be having , $(35 - 25) = $10
So , we can conclude that Lenny has more dollars. The difference is of 15 dollars.
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I need help with this question, its confusing.
PLEASE HELP SOON
1. Solve the system. 3x+y = 10 y = 6x+1 Enter your answer by filling in the blanks. The solution is ( , )
2. Solve the system. 6x - y = -15 x + 2y = 17 Enter your answer as a coordinate pair in the blank.
Answer:
1. ( 1,7)
2. (17, 39)
Step-by-step explanation:
1. Replace all occurrences of y with 6x+1, and we get
9x + 1 = 10
x = 1
y = 6x + 1
y = 7
So, the answer for number 1 is (1,7)
2. 6x - y = -15x + 2y = 17
We subtract 2y and get
6x - 3y = 15x = 17
Replace all occurrences of x with 17, and we get
102 −3y = −15
x = 17
y = 39
So, the answer for number 2 is (17, 39)
What is the perimeter of 4?
The perimeter of a shape with 4 sides is equal to the sum of its sides multiplied by itself, which in this case is 4 multiplied by 4, resulting in a perimeter of 16.
Step 1: Calculate the length of each side by multiplying 4 by 4.
Step 2: Add the lengths of each side together to get the perimeter.
Step 3: The perimeter of the shape with 4 sides is equal to 16.
The perimeter of a shape is the sum of the lengths of its sides. To calculate the perimeter of a shape with 4 sides, you need to find the length of each side. To do this, you can multiply the length of one side by itself. For example, if the length of one side is 4, the length of each side would be 4 multiplied by 4, which is 16. Therefore, the perimeter of a shape with 4 sides is equal to 16. To calculate the perimeter of a different shape with an unknown number of sides, you can add up the lengths of each side to get the total perimeter. This is a useful way to measure the size of a shape and can be used to calculate the area of a shape by dividing the perimeter by the number of sides.
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What should be the value of a if the value of 2x^2 XA equals to 5 when?
The value of a is -5. All phrases that involve x become zero when we set their value to zero, leaving only constant terms.
The given equation is 2x^2 + x -a = 5.
let's try to understand what is an equation.
An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For example,
The two equations 4x + 56 and 14 are joined by the equal sign to get the equation 4x + 56 = 14. Algebraic equations in mathematics frequently have one or more variables.
There are many different kinds of equations, including cubic, quadratic, and linear equations.
There are many distinct sorts of equations, depending on the degree of the equation.
2x^2 + x -a = 5. put x = 0.
2*0 + 0 - a = 5
0 + 0 -a = 5
-a =5
a = -5.
So the value of a is -5.
Given Question is incomplete complete question here:
What should be the value of a if the value of 2x^2+x - a equals to 5
when x = 0?
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what is the difference of 1 and a number?
10.)The charge for electricity consumption, E,
is partly constant and partly varies as the
number N of units used. The charge for 163
units is N453.80 while the charge for 42 units
is #139.20.
a Calculate the charge per unit of
electricity.
b Obtain a formula for E in terms of N.
On solving the provided question, we can say that - the charge for 42 units = is $139.20; so, charge per unit is 139.20/42 = $3.3142857143
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
the charge for 42 units = is $139.20.
so, charge per unit is 139.20/42 = $3.3142857143
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20 POINTS!!!!!!!!!!!!!!!!!
The measure of angle is, 62°.
What is Complementary angle?The sum of two or more angle is 90 degree then the angle is called the complementary angle.
We have to given that;
⇒ Supplement of an angle is 6 more than 4 times of its complement.
Now,
Let measure of an angle = x
So, By given condition, we can formulate;
The supplement of an angle = 180 - x
And, The complement an angle = 90 - x
Hence, We get;
⇒ (180 - x) = 6 + 4 (90 - x)
Solve for x as;
⇒ 180 - x = 6 + 360 - 4x
⇒ 4x - x = 366 - 180
⇒ 3x = 186
⇒ x = 62°
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1. True or False: The solution you get from substitution is the same as the solution you would get
from graphing. *
False
True
2. For substitution, we want *
(1 Point)
a. both equations to be in standard form Ax + By = C
b. equations with negative numbers
C. at least one equation to be y= or x=
d. equations with positive numbers
answer:
my answer to the first one would be false
my answer to the second would be a
Given: PS bisects angle RST, 2SP=3SQ, 2ST=3SR
Prove: Triangle STP ~ triangle SRQ
The Triangle STP is similar to Triangle SRQ.
We can prove that triangle STP is similar to triangle SRQ using the Angle Bisector Theorem and the ratios of the sides of the triangles.
The Angle Bisector Theorem states that if point P bisects angle RST, then the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.
In this case, we are given that 2SP = 3SQ and 2ST = 3SR.
Dividing both sides of the equation 2SP = 3SQ by 2 and both sides of the equation 2ST = 3SR by 2, we get:
SP/PQ = 3/2 and ST/SR = 3/2
As the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.
Therefore, triangle STP is similar to triangle SRQ.
It can also be proven using the fact that PS bisects angle RST which means that the angle PST = PSR. And if two angles of two triangles are equal and the sides are in proportion then the two triangles are similar.
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What is included in an individual's personal assets 3 options?
Three options which are included in an individual's personal assets are cash amount , property in any form and any other investment which can be converted cash in future.
Individual personal assets are defined as the things which represents some value in the present and future time.Three options which represents the individual personal assets are cash amount , property in any form, and the investment converted into cash.Cash amount already represents the physical value for the present and future use.Property in any form can be converted into cash in present and future use.Investment can be in many form such as policies , electronics items, jewelry and many other options can easily be converted into cash for present and future use.Therefore, the three options representing the individuals personal assets are cash amount, property in any form, and investment converted into cash.
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According to the linear regression model, the men’s world record mile run time in 1940 would have been how many seconds?
The men’s world record mile run time in 1940 would have been 10.454 seconds
Here, the equation of the linear function that best fits the data (the line of best fit) is Finishing time = 10.878 - 0.0106(Year after 1900)
Let k be the finishing time in seconds and t be the number of years after 1900
So, the equation of regression line becomes,
k = 10.878 - (0.0106) t
To find the the men’s world record mile run time in 1940 first we find the the number of years (t)
t = 1940 - 1900
t = 40 years
So, the finishig time (k) would be,
k = 10.878 - (0.0106) × 40
k = 10.454 seconds
Therefore, the finishing time was 10.454 seconds
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Solve the following problem.
1. If a is indirectly proportional to b, then a=k/b, where k is a constant or fixed number. If a=8 when b=6, find the value of k.
Using the value of k in number 1, find:
2. a if b=3
3. a if b=4
4. a if b=12
5. a if b=1.5
6. a if b=3.6
7. a if b=4.8
8. b if a=3
9. b if a=4
10. b if a=4.5
11. b if a= 4.8
12. b if a=3.6
13. b if a=6
Answer:
see explanation
Step-by-step explanation:
given the equation
a = [tex]\frac{k}{b}[/tex]
to find k use the given condition a = 8 when b = 6 , then
8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 to clear the fraction )
48 = k
a = [tex]\frac{48}{b}[/tex] ← equation of variation
2
if b = 3
a = [tex]\frac{48}{3}[/tex] = 16
3
if b = 4
a = [tex]\frac{48}{4}[/tex] = 12
4
if b = 12
a = [tex]\frac{48}{12}[/tex] = 4
5
if b = 1.5
a = [tex]\frac{48}{1.5}[/tex] = 32
6
if b = 3.6
a = [tex]\frac{48}{3.6}[/tex] = 13.3333.. = 13 [tex]\frac{1}{3}[/tex]
7
if b = 4.8
a = [tex]\frac{48}{4.8}[/tex] = 10
for the remaining questions, rearrange the equation with b as the subject
a = [tex]\frac{48}{b}[/tex] ( multiply both sides by b )
ab = 48 ( divide both sides by a )
b = [tex]\frac{48}{a}[/tex]
8
if a = 3
b = [tex]\frac{48}{3}[/tex] = 12
9
if a = 4
b = [tex]\frac{48}{4}[/tex] = 12
10
if a = 4.5
b = [tex]\frac{48}{4.5}[/tex] = 10.666... = 10 [tex]\frac{2}{3}[/tex]
11
if a = 4.8
b = [tex]\frac{48}{4.8}[/tex] = 10
12
if a = 3.6
b = [tex]\frac{48}{3.6}[/tex] = 13.333... = 13 [tex]\frac{1}{3}[/tex]
13
if a = 6
b = [tex]\frac{48}{6}[/tex] = 8
Given: AAED ≈ ABEC and
AC BD.
Prove: AABD≈ ABAC.
Note: quadrilateral properties are not permitted in this
proof.
Step
1
try
Statement
D
AAED ~ ABEC
AC BD
Type of Statement
E
с
Note: AC and DB are segments.
B
Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.
How may the ABC def be demonstrated?Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.
The use of labels Triangle ABC is congruent to triangle DEF if the angles of triangles ABC and DEF are AB = DE, AC = DF, and A = D.
ABC=CDE: a) in accordance with the conditions BC=CD and AC=CE; b) BCA=m (DCE).
If ABC = CDE, then m(BAC) = m(DEC), and m(ABC) = m (CDE).
If m(BAC)=m(DEC), then AB || DE, or if m(ABC)=m(CDE), then AB || DE.
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A third-grade student is asked to find the best estimated answer for the problem below by rounding to the nearest ten. 162 287 395 The student gets an answer of 840. Which of the following best describes the student's error
The error is that the student rounded off the outcome after combining the numbers.
What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.
For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
So, we have:
162 + 287 + 395 = 840
The error:
After adding the numbers, the student rounded the result.
If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.
When estimating totals, students should be taught to round numbers first before adding them.
Therefore, the error is that the student rounded the outcome after combining the numbers.
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Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.
162 + 287 + 395
The student gets an answer of 840. Which of the following best describes the student's error?
Factorise fully the following:
a) x² + x
b) 3x-9x²
c) 7x³ - 35x
d) 4x³ + 24x²
The correct factorization are as follows:
(a) x² + x = x(x + 1)
(b) 3x-9x² = 3x(1 - 3x)
(c) 7x³ - 35x = 7x(x^2 - 5)
(d) 4x³ + 24x² = 4x^2(x + 6)
What do you mean by "factorization"?
The most crucial step in factorization is to identify the terms points of commonality. Divide each term by the common factor between them, then multiply the result by the entire expression to maintain the value.
One of the key techniques for reducing an algebraic or quadratic equation to a simple form is factorization. Thus, one should be familiar with factorisation formulas in order to simplify the complex problem.
Additionally, you can always multiply your response to see if you end up with the same result as your starting point.
Step by step solution:
(a): x² + x, [Here both terms have 'x' in common]
=x( (x²/x) + (x/x) )
= x(x+1)
(b): 3x - 9x², [Here both terms have '3x' in common]
=3x( (3x/3x) - (9x²/3x) )
= 3x(1-3x)
(c): 7x³ - 35x, [here both terms have '7x' in common]
=7x( (7x³/7x) - (35x/7x) )
= 7x(x²-5)
(d): 4x³+ 24x² [here both terms have 4x² in common]
=4x²( (4x³/4x²) + (24x²/4x²) )
= 4x²(x+6)
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What is relation of log and e?
The relationship between the natural logarithm (ln) and the natural exponential (e) is given by the equation ln(x) = e^x. This equation is known as the exponential form of the natural logarithm.
To explain this relationship, let's start with a simple example. Suppose we have a number x, and we want to find its natural logarithm. To do this, we can use the following equation:
ln(x) = e^x
This equation states that the natural logarithm of x is equal to the natural exponential of x. In other words, we can calculate the natural logarithm of x by raising e to the power of x. To illustrate this with an example, suppose we want to calculate the natural logarithm of 10. We can do this using the equation above as follows:
ln(10) = e^10
Now, we can use a calculator to calculate e^10. If we do this, we get the result of 22,366.48. Therefore, the natural logarithm of 10 is equal to 22,366.48.
The relationship between the natural logarithm and the natural exponential is important because it allows us to easily calculate the natural logarithm of any number. All we have to do is raise e to the power of that number, and the result will be the natural logarithm of that number. This is a very useful tool in mathematics and can be used to solve many problems involving logarithms.
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A balloon ascending at a rate of 12 ft/s is at a height of 80 ft above the ground when a package is dropped. How long does it take the package to reach the ground
The time taken by the package to reach the ground will be 5.45 seconds.
What governs motion, according to Newton?The motion of an object is related to the forces acting on it by Newton's laws of motion. According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.
Solution:-
vo=12m/s
h=80m=yo
Then,
[tex]y-yo= vot-1/2gt^2[/tex]
⇒[tex]0-80m=(12m/s)t - 1/2(9.8m/s^2)t^2[/tex]
⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]
⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]
⇒[tex]t=5.45s, t=-3.00s[/tex]
∴[tex]t=5.45s[/tex]
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Is halting undecidable?
Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.
What is a tractable problem?a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.
Here,
There is no programme that can resolve the halting difficulty for sufficiently general computer programs,
making it the most frequently encountered problem that has been discovered to be insoluble.
The type of computer software we're discussing must be made clear.
Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.
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a) What type of triangle is triangle ABC? b) Give reasons for your answer. I need the correct answer for B with Reasons Not "ab and ac are the same" any word other than the same
Answer:
Δ ABC is isosceles
Step-by-step explanation:
∠ ABC and ∠ BCE are alternate angles and are congruent , that is
∠ BCE = ∠ ABC = 80°
since DE id a straight line then the angles lying on it sum to 180° , that is
∠ ACD + ∠ ACB + ∠ BCE = 180°
50° + ∠ ACB + 80° = 180°
∠ ACB + 130° = 180° ( subtract 130° from both sides )
∠ ACB = 50°
∠ BAC and ∠ ACD are alternate angles and are congruent , that is
∠ BAC = 50°
then
∠ BAC = ∠ ACB = 50°
Since the 2 base angles are congruent then Δ ABC is isosceles
Unit 1 geometry basics Homework 2
pls help! i’ll mark brainliest
The value of AB= 24 BD is congruent to BC. BD=BC
BD = 5x – 26, BC = 2x + 1, and AC = 43
How to find value of AB?From the diagram , AC=AB+BCTo find out , we need to find BC first . For that we have to find out xWE know that BD=BC, using that we solve for x5X-26=2X+1SUBSTRACT 2X3X-26=1ADD 263x=27x=9Now we plug in 9 for x and find out BCBC=2x+1BC=2(9)+1BC=19We know AC= 43AC=AB+BC43=AB+19subtract 19AB=24To learn more about find value of AB refers to:
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The volume of a cylinder is 60 cubic centimeters. What is the number of cubic centimeters in the volume of the sphere it circumscribes
Call the radius of the cylinder and sphere, r And the height of the cylinder = 2r
How to Calculate Volume in Cubic Centimeters?Calculating volume is just another way of saying that you're measuring the amount of space inside a three-dimensional object. You can use standardized formulas for calculating the volume of shapes like cubes, cylinders and spheres, as long as you know their basic measurements.So60 = pi * r^2 * 2r30 = pi * r^330/pi = r^3[30/pi]^1/3 = rSo...the volume of the sphere is(4/3)pi [ (30/pi)^1/3 ]^3 =(4/3) pi * 30/pi =40 cm^3A cubic centimetre (or cubic centimeter in US English) (SI unit symbol: cm3; non-SI abbreviations: cc and ccm) is a commonly used unit of volume that corresponds to the volume of a cube that measures 1 cm × 1 cm × 1 cm. One cubic centimetre corresponds to a volume of one millilitre.How to Work out Volume with Cubic Centimetres. If a container was filled with water and it had a length of 20 cm, a height of 5 cm and a depth of 4 cm to work out the volume of water you would need to multiply all 3 numbers together. 20 cm x 5 cm x 4 cm = 400 cm³To learn more about Volume in Cubic Centimeters refers to:
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Write an equation in slope-intercept form of the line that passes through the points (-5,-12) and 2,9) .
The equation is y=
Answer:
y=3x+3
Step-by-step explanation:
HELP!!!
What is the slope of the line containing (-3, 5) and (6, -1)?
A. 2/3
B. 1
C. -1
D. -2/3
Answer:Slope is -2/3
Step-by-step explanation:
What you do is use the formula y2-y1/x2-x1.
y1 and y2 are at the end of the parenthesis so y1 is 5 and y2 is -1.
x1 and x2 are at the beginning of the parenthesis so x1 is -3 and x2 is 6.
Then you put it into the formula:
-1-5/6-(-3)
This then equals -2/3.
-2/3 is the answer.
pls help with his i dont get it at all
Answer:
D.
Step-by-step explanation:
They are parallel would be the best explanation. AB and PQ are in a sense the same segment but PQ is AB translated.
Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.
What is the direct proportional relationship?In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.
The following are the proportional relationships for the distances:
Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.For a total distance of 32 miles, the distances walked and run are given:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.
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brainy plot and labels points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on the number line
Answer:
Step-by-step explanation:
To plot points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on a number line, we can simply draw a horizontal line and mark off the positions of the points. The numbers on the number line will represent the values of the x-coordinates of the points.
[asy]
unit size(1cm);
draw((-7,0)--(5,0));
draw((-7,0)--(-7,1)--(5,1)--(5,0)--cycle);
dot("$P$", (-5/2,0), S);
dot("$Q$", (2 3/4,0), S);
dot("$R$", (1.25,0), S);
dot("$S$", (-3.5,0), S);
[/asy]
On the number line, point P is located at -5/2, point Q is located at 2 3/4, point R is located at 1.25, and point S is located at -3.5.
Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1)² = y+2
Answer:
Step-by-step explanation:
The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.
In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.
The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).
The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.
The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.
The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.
To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.
[asy]
unit size(1cm);
real p = 1.5;
pair F, V;
F = (1,-2+p);
V = (1,-2);
draw((-2,0)--(4,0));
draw((0,-4)--(0,4));
draw((-2,V.y)--(4,V.y),dashed);
draw((F.x,p)--(F.x,-4),dashed);
label("$x$", (4,0), E);
label("$y$", (0,4), N);
label("$y = (x - 1)^2 - 2$", (4,-3), E);
a dot("$F$", F, NW);
a dot("$V$", V, S);
label
Compute the following for the function defined below. Simplify your answers. Note: Use lowercase letters in your answers. f(x) 3x 8 (a) f(x+h) - (b) f(x+h)-f(x)= (c) ixth-fx). Submit Answer
Answer is 3h after simplification.
What is function?Function is a mathematical expression that represent the relationship between an independent variable and dependent variable. The set of values of independent variable is termed as input of function and the set of value of dependent variable is called output.
What is the value of function?
given, a function. f(x) = 3x -8
if we want to write x + h instead of x
then the function will be f(x + h) = 3(x + h) - 8
f (x + h) - f(x) = 3(x+ h) - 8- (3x -8)
f( x + h) - f(x) = 3(x +h) - 8 - 3x+ 8
f(x + h) - f(x) = 3(x + h) - 3x
f(x + h) - f(x) = 3x + 3h - 3x
f(x +h) - f(x) = 3h
hence, the above is the result.
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man travels 60 miles to work at an average speed of 40mph. He travels home the same route at an average speed of 60mph. What is the average speed of his round trip
Answer:1881 6040mph 18x