Write a rule for the linear function in the table.
f(x) = 4x + 3
f(x) = -4x - 3
1
f(x) = x + 3

Answers

Answer 1

Answer:

I guess that you want to know the transformations:

We start with:

f(x) = y = 4*x + 3

a)the transformed function is:

f(x) = y = -4*x - 3

So the sign changed.

This means that we go from (x, y) to (x, - y)

This is a reflection over the x-axis which changes the sin of the y component.

b) Now we go to f(x) = 4*x + 3

So the coefficient in the leading term changed.

This is a horizontal contraction:

A horizontal contraction of factor K for the function g(x) is: g(K*x)

In our case, we have:

f(K*x) = 4*(k*x) + 3 = x + 3

4*k*x = x

4*k = 1

k = 1/4

Then the transformation is an horizontal contraction of scale factor 1/4.


Related Questions

help me please I dont remember how to do this ​

Answers

Answer:

A

Step-by-step explanation:

Expand brackets.

-4y - 28 = -4y - 18 - 10

Both sides have -4y, the equation has no solutions.

-4y + 4y = - 18 - 10 + 28

0 = 0

There are no solutions.

The answer is letter A

40 points and brainliest!!!!

In Triangle XYZ, m triangles?
O XYZ = TUV
O XYZ = VUT
O No congruency statement can be made because only two angles in each triangle are known.
O No congruency statement can be made because the side lengths are unknown.

Answers

Answer:

Option (4).

Step-by-step explanation:

In the figure attached,

Two right triangles ΔXYZ and ΔTUV have been given,

Given:

1). m∠Y = m∠U = 30°                  

2). m∠Z = m∠V = 60°                  

3). m∠X = m∠T = 90°

For congruence of two right triangles, measure of at least one side should be known along with the measure of angles (LA, HA, LL, HL properties of congruence).

Therefore, these triangles may be similar but not congruent.

Option (4) is the correct option.

Answer:

D.No congruency statement can be made because the side lengths are unknown.

Step-by-step explanation:

EDG

What is the result of adding these two equations?
62 + 2y = -2
3x - 2y = -5

Answers

Answer:

x = -7/9; y = 4/3.

Step-by-step explanation:

I will assume that the top equation is 6x + 2y = -2, and the bottom one is 3x - 2y = -5.

If you add the two...

(6x + 3x) + (2y + (-2y)) = (-2 + (-5))

9x + 0 = -7

9x = -7

x = -7/9

6(-7/9) + 2y = -2

-42/9 + 2y = -18/9

2y = 24/9

y = 24/18

y = 12/9

y = 4/3

Hope this helps!

im confused how many solutions are parellel lines and how many solutions are intersecting lines

Answers

Answer:

There are no solutions to paralell lines and there is exactly one solution to intersecting(perpendicular) lines.

Step-by-step explanation:The solutions would be the point of intersection and paralell lines never meet at any points. Interesecting lines intersect at exactly one point, which proves my answer above. Hope this helped

please help me answer this question Solve: y − x = 12 y + x = -26 (19, -7). (-7, 1). (7, 19). (-19, -7).

Answers

Answer:

(-19 , -7)

Step-by-step explanation:

y - x = 12

y + x = -25 we sum them to get

2y = -14 , y = -7

then we put -7 instead of y in any of the equations:

-7 - x = 12

-x = 19

x = -19,

finally (x , y) is (-19 , -7)

How much material would you need to fill the following cylinder? Radius 13 in. and Height 9 in.

39π in3
117π in3
1053π in3
1521π in3

Answers

Answer:

Volume of the cylinder is 1521π in³

Step-by-step explanation:

Hello,

To find the volume of a cylinder, we need the know the formula used for calculating it.

Volume of cylinder = πr²h

r = radius

h = height

Data,

Radius = 13in

Height = 9in

Volume of a cylinder = πr²h

Now we need to substitute the values into the formula

Volume of a cylinder = π × 13² × 9

Volume of a cylinder = 169 × 9π

Volume of a cylinder = 1521π in³

Therefore the volume of the cylinder is 1521π in³

Answer:

1521

Step-by-step explanation:

Given that (1,-8) is on the graph of f(x), find the corresponding point for the function 1/2 f(x)

Answers

Answer: 1 (-4)

Step-by-step explanation: f(x) is a function of x giving you a y value. 1/2 f(x) means you're halving every y value that plugging in x gives you.

what is 0.6n = $2.10​

Answers

Answer: 3.5

Step-by-step explanation:

2.10/0.6=3.5

3.5x0.6=2.10

a car was bought for 5500 and sold at 6500 find the percentage​

Answers

Answer:

18.18%

Step-by-step explanation:

Percent change formula:

(new amount - old amount)/(old amount) * 100%

new amount: 6500

old amount: 5500

percent change:

(6500 - 5500)/5500 * 100% = 18.18%

Answer:

18.18%

Step-by-step explanation:

1000/5500 x (100) =(1000/5500)(100/1) =(2/11)(100/1)=(2)(100) (11)(1)= 200/11

=18.18%

Bruhhh I need help dude !!!

Answers

Answer:

(B), in which the first two values are 2 and 10.

Step-by-step explanation:

We can tell that this is a proportional relationship because we can examine the numbers in there.

(2,10)

(4,20)

and (6,30).

If you notice, the x value times 5 gets us the y value for every single point there.

Therefore, B is proportional and it's equation is y = 5x.

Hope this helped!

Answer:

B.

Step-by-step explanation:

B. Is the only one that proportional because,

(2,10)

(4,20)

(6,30)

All these x values multiply by 5 to get the y value.

So the equation is y = 5x meaning it is linear and it goes through the origin which makes it proportional.

Thus,

answer choice B is correct.

Hope this helps :)

WILL MARK BRAINLIEST!!! EASY QUESTION!!(✿◡‿◡) Can someone please give me an example of a FIFTH DEGREE POLYNOMIAL WITH THREE TERMS IN STANDORD FORM? I just need to know what it looks like, please.

Answers

Answer:

f(x) = x⁵ + 3x³ - 2 I think, if its incorrect I apologize

Step-by-step explanation:

Find the zeros of y=x^2+4x-9 by completing the square.

Answers

Answer:

[tex]\boxed{x =-2 \±\sqrt{13} }[/tex]

Step-by-step explanation:

Let y = 0

0 = x^2+4x-9

x² + 4x -9 = 0

Add 9 on both sides.

x² + 4x = 9

(b/2)² = (4/2)² = 2² = 4

Add 4 on both sides.

x² + 4x + 4 = 13

Facror left side.

(x+2)² = 13

Take the square root on both sides.

x + 2 = ±√13

Subtract 2 on both sides.

x = ±√13 - 2

at the rate of 15 per 6 oz. bar of chocolate, how much would a pound

Answers

Answer:

40

Step-by-step explanation:

We know there are 16 oz in a pound

We can use ratios

15             x

-----  = ----------

6 oz       16 oz

Using cross products

15 * 16 = 6x

240 = 6x

divide by 6

240/6 = 6x/6

40 =x

Please answer it now in two minutes

Answers

Answer:

4.5

Step-by-step explanation:

Use sin64=x/5 and simplify to

5sin64 and plug it into a calculator to get 4.49 which is 4.5

21.(03.02)
If f(x) = 7x – 1, what does f(12) represent?

Answers

Answer:

83

Step-by-step explanation:

f(x) = 7x - 1

Put x as 12.

f(12) = 7(12) - 1

f(12) = 84 - 1

f(12) = 83

hi :) how to do the last part?

Answers

Answer: 1200

Step-by-step explanation:

as t → ∞, the e-value will get very very very small and be considered insignificant. In other words, as t → ∞, e → 0.

600(2 + 0) = 1200

Furthermore, if you graph this equation, you will see that the asymptote is: y = 1200. So, the y-value will get really close to 1200 but will never actually reach this value.

multiply: 4x ^3sqrt 4x^2 (2 ^3sqrt 32x^2 * x ^3sqrt 2x)

Answers

Answer:B on edge 2020 :)

Step-by-step explanation:

its b

Step-by-step explanation:

edge 2022

what is 25 (10 + 50) - 25?

Answers

Answer:

1,475

Step-by-step explanation:

10 + 50

= 60

60 * 25

= 1,500

1,500 - 25

= 1,475

Answer:

Hey there!

25(10+50)-25

25(60)-25

1500-25

1475

Hope this helps :)

How does the graph of y = a(x – h)2 + k change if the value of h is doubled? The vertex of the graph moves to a point twice as far from the x-axis. The vertex of the graph moves to a point twice as far from the y-axis. The vertex of the graph moves to a point half as far from the x-axis. The vertex of the graph moves to a point half as far from the y-axis.

Answers

Answer:

The vertex of the graph moves to a point twice as far from the y-axis.

Step-by-step explanation:

How does the graph of y = a(x – h)2 + k change if the value of h is doubled?

The vertex of the graph moves to a point twice as far from the x-axis.

The vertex of the graph moves to a point twice as far from the y-axis.

because the role of h is to indicate the distance of the vertex from the y-axis.

The vertex of the graph moves to a point half as far from the x-axis.

The vertex of the graph moves to a point half as far from the y-axis.

Transformation involves changing the position of a function.

When h is doubled in [tex]\mathbf{y = a(x - h)^2 + k}[/tex], the vertex of the graph moves to a point twice as far from the y-axis.

The function is given as:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

When the value of h is doubled, the new function becomes:

[tex]\mathbf{y' = a(x - 2h)^2 + k}[/tex]

Rewrite as:

[tex]\mathbf{y' = a(x - h- h)^2 + k}[/tex]

The above equation means that:

Function y will be translated to the right by h units

Assume the vertex is:

[tex]\mathbf{Vertex = (2,5)}[/tex]

The new vertex will be:

[tex]\mathbf{Vertex = (4,5)}[/tex]

Comparing the vertices, it means that:

The new function will have its vertex twice as far from the y-axis

Hence, option (b) is correct.

Read more about transformation at:

https://brainly.com/question/13801312

how many digits are in the decimal expansion of 2^34

Answers

Answer:

2^34 = 17179869184

I hope this helps :)

1 to the tenth power

Answers

Answer: 1

Explanation:

1 to any power will always be 1

Answer:

1

Step-by-step explanation:

1 to the tenth power is also 1 multiplied by 1 10 times.

1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 = 1

1 to any power will always have the answer of 1.

For which system of equations would you need to estimate the solution?
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect around (negative 2.1, negative 3.5).
On a coordinate plane, 2 lines intersect at (negative 2, 3).
On a coordinate plane, 2 lines intersect at (2, 2).

Answers

Answer: It is option 2 or B

Step-by-step explanation: Simple and easy, the test said it was right too.

A polygon with 9 sides is shown. An exterior angle has a measure of x degrees. In the regular nonagon shown, what is the measure of angle x? 36° 40° 45° 60°

Answers

Answer:

40°

Step-by-step explanation:

First we must know that the sum of all the exterior angle of all polygons is 360°.

Measure of each angle of a polygon = 360°/total sides of the polygon

Since a regular nonagon has 9 sides, the measure of each angle of a polygon is expressed as thus;

Measure of each angle of a polygon  = 360°/9

Measure of each angle of a polygon  = 40°

Hence the measure of an exterior angle x of a nonagon is 40°

Answer:

B in Edg

Step-by-step explanation:

Please answer this question now

Answers

Answer:

If it's not too late by now, the answer is 19.9 [tex]mm^{2}[/tex]

on the average 5 oranges will give 3 cupful of juice. if 2 cupfuls make a pint, how many oranges must be used to make 3 gallons of juice.

Answers

Answer:

90 oranges

Step-by-step explanation:

First, find out how many cupfuls are in 3 gallons of juice.

2 cups = 1 pint

2 pints = 1 quart

4 quarts = 1 gallon

16 cups = 1 gallon

48 cups = 3 gallons

For every 5 oranges, you get 3 cupfuls of juice.  This gives you the ratio of 5/3.  Multiply 48 cups, which is 3 gallons, by the ratio to find out how many oranges you will need.

48 × 5/3 = 90

You will need 90 oranges for 3 gallons of juice.

Answer:

80 oranges are used to make 3 gallons of juice

Step-by-step explanation:

1 gallon = 8 pint

3 gallons  = 3 * 8 = 24 pint

1 pint = 2 cup full of juice

24 pint = 24 * 2 = 48 cups

Now, we have to find how many 3 cups are in 48. So, 48 ÷ 3 = 16

3 cup of juice is taken form 5 oranges.

Therefore, 16 groups of 3 cups of juice will be taken from 5 *16 = 80 oranges

find the value of x and explain

Answers

Answer:

D

Step-by-step explanation:

The chord- chord angle 105° is half the sum of the arcs intercepted by the angle and its vertical angle, thus

[tex]\frac{1}{2}[/tex](120 + x) = 105 ( multiply both sides by 2 )

120 + x = 210 ( subtract 120 from both sides )

x = 90 → D

An oblique cylinder has a radius of 10 units and slant length of 26 units. An oblique cylinder has a radius of 10 units and a slant length of 26 units. What is the volume of the cylinder? 2,400π cubic units 2,500π cubic units 2,600π cubic units 2,700π cubic units

Answers

The volume of the oblique cylinder with the given parameters is: 2,400π

What is the Volume of an Oblique Cylinder?

Volume of an oblique cylinder = πr²h

r is the radius, h is the height of the cylinder.

Given the following:

r = 10 unitsSlant height (l) = 26 unitsh = √(26² - 10²) = 24 units  [Pythagorean Theorem]

Volume of oblique cylinder = π(10²)(24)

Volume of oblique cylinder = 2,400π

Learn more about the volume of oblique cylinder on:

https://brainly.com/question/15940389

Answer: a

Step-by-step explanation:

What is the equation of a circle with center (0, 5) and radius 8

Answers

Answer:

See below.

Step-by-step explanation:

Recall that the equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We know the center is (0,5) and the radius is 8. Plug in the numbers:

[tex](x-(0))^2+(y-(5))^2=(8)^2[/tex]

We can remove the parentheses on the left. Therefore, the equation will be:

[tex]x^2+(y-5)^2=64[/tex]

Answer:

( x) ^2 + ( y-5) ^2 = 64

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x-0) ^2 + ( y-5) ^2 = 8^2

( x) ^2 + ( y-5) ^2 = 64

A restaurant catered a party for 45 people. A child’s dinner (c) cost $15 and an adult’s dinner (a) cost $25. The total cost of the dinner was $1,015. How many children and adults were at the party? Use the table to guess and check.

Number of People
a
c
c + a = 45
15 c + 25 a = 1,015 dollars




9 adults and 36 children
10 adults and 35 children
34 adults and 11 children
36 adults and 9 children

Answers

Answer:

34 adults and 11 children

Step-by-step explanation:

15 times 11 is 165dollars for kids

25 times 34 adults equals 850 dollars

add it and its 1015

Answer:

34 and 11

Step-by-step explanation:

Suppose ACT Reading scores are normally distributed with a mean of 21 and a standard deviation of 6.2. A university plans to admit students whose scores are in the top 30%. What is the minimum score required for admission

Answers

Answer:

24.25

Step-by-step explanation:

The minimum admission score is at the 70th percentile of the normal distribution which, according to a z-score table, corresponds to a z-score of 0.524.

The z-score, for any given value X, is determined by:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

If the mean score is 21 and the standard distribution is 6.2, the minimum required score for admission is:

[tex]0.524=\frac{X-21}{6.2}\\X=24.25[/tex]

The minimum score required for admission is 24.25.

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