Write a function g whose graph represents the indicated transformation of the graph of F. Let g be a translation 4 units down and a horizontal shrink by a factor of of the graph of f(x) = x.​

Answers

Answer 1

Answer:

g(x) = 6x+4

Step-by-step explanation:

The given function f(x)=x

Let p(x) be an intermediate function after translation of f(x).

So, after the translation 4 unit down, the new function

p(x) = f(x) - 4

p(x) = x-4

Now, there is a horizontal shrink by a factor of 6, so the required function g(x) is

g(x) = p(6x) [here 6 is the horizontal shrink factor]

g(x) = 6x-4

Hence, the required function is g(x) = 6x+4


Related Questions

5+(−3)(6x−5) using distributive property

Answers

Answer:

x= -1.8

Step-by-step explanation:

5+(-3)(6x-5)

the -3 goes into the 6x and -5

5+(-18x)+15

switch so like terms are together

5+(-5) these cancel out leaving you with

-18x+15-5

combine like terms

-18x+10

divide both sides by -18

x=-1.8

the equation of a line going through the point (9,2) and (-15,2)

Answers

Answer:

y = 2

Step-by-step explanation:

Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function of x?

Answers

There are x-values which are paired with multiple y-values.

20 points! What is the solution to the system of equations?
6x +2y = 6
7x +3y = 5

A. (-3 , 2)

B. (-1 , 6)

C. (2 , -3)

D. (6 , -1)

Answers

Answer:

C

Step-by-step explanation:

i used the substitution method to find it out

Pls answer need help asap!!

Answers

The first parallelogram is parallel but the second parallelogram is not parallel

1/3x-2=16 solve the equation

Answers

Answer: x= 1/54
Explained: easy mental math :p

Answer:

x=54

Step-by-step explanation:

1/3 x 54 = 18, 18 - 2 = 16

:)

(5c^2 - 3c +9) - (2c^2 + 8c - 3)

Answers

So you would distribute the negative and you would end up with
5c^2 -3c+9-2c^2+8c-3
And then you combine like terms and you should end up with
3c^2-11c+12

Hope it helps!

What is the length of the missing side of the right triangle?
A) 14 feet
B) 10 feet
C) 9.5 feet
D) 12 feet

(please give a brief explanation)

Answers

Answer:

10 feet

Step-by-step explanation:

You use the pythagorean theorem to find the missing side of a right triangle.

side^2 + side^2 = hypotenuse ^2

6^2 + 8^2 = X^2

36 + 64 = 100

square root of 100 = 10

On a test, Jim answered 28 problems correctly. He answered 80% of the questions correctly.
How many questions were on the test?

Answers

Answer:

35

Step-by-step explanation:

Which graph represents the solution to the system of inequalities below?
5x - 4y > 4
x + y < 2

Answers

Answer:

The correct option is;

B

Step-by-step explanation:

The given system of inequalities are;

5·x - 4·y > 4...(1)

x + y < 2...(2)

Representing both inequalities as a function of "y", gives;

For, 5·x - 4·y > 4...(1), we have;

-4·y > 4 - 5·x

y < 4/(-4) - 5·x/(-4)

∴ y < 5·x/4 - 1

For x + y < 2...(2), we have;

y < 2 - x

Therefore, y is less than the values given by the equation of the straight line equalities, and the feasible region is given by the common region under both dashed lines representing both inequalities as shown in the attached diagram created using Microsoft Excel

The correct option is therefore, B.

​If six people share 4 pints of lemonade equally, how much ​lemonade will each person receive? ​​

Answers

Answer:

1.5

i think

Step-by-step explanation:

Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?

Answers

Answer:

826

Step-by-step explanation:

82.6 x 10 to the power of 2 :

8.26 * 10^2

8.26 * (10 * 10)

8.26 * (100)

= 826

A shipping box, in the
shape of a cube, has a volume of 2,300
cubic inches. Estimate the length of the side
of the shipping box to the nearest Integer

Answers

Answer:

13 inches

Step-by-step explanation:

length of side of cube: x

volume of cube = x³ = 2300

x = ∛2300 = 13.2

Answer plzz I give will correct answer as brainliest

Answers

Answer: 13m

Step-by-step explanation:

A^2+ B^2= C^2

5^2+ 12^2= c^2

169= C^2

then square root the 169 to get 13

The expression x[(y - w) + z] is equivalent to

Answers

Answer:

Step-by-step explanation:

we need to remove the parenthesis first

x(y-w+z)=xy-xw+xz

Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?

Answers

Answer:

I believe it would just be 5/6.

Step-by-step explanation:

In a six-sided dice, there are five numbers less than 6!

Step-by-step explanation:

sum of dice=1+2+3+4+5+6=21

sum of two sided dice=21(2)=42

sum of numbers less than 6=1+2+3+4+5=15

probability of two numbers less than 6=2/12=1/6

help please....... ​

Answers

Answer:

According to my calculations, the correct answer is 1/16. Let me know if it comes as correct on your side. Thanks!

Step-by-step explanation:

Please hurry
In the figure, △EBA ≅ △EDC.

Triangles EBA and EDC are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.

Because CPCTC, which relationships are true?
Check all that apply.

Answers

Answer:

AE ≅ CE

∠BAE ≅ ∠DCE

Step-by-step explanation:

In the figure, △EBA ≅ △EDC.

Triangles E B A and E D C are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.

Because CPCTC, which relationships are true?

Check all that apply.

AE ≅ CE

∠BAE ≅ ∠DCE

∠CDE ≅ ∠BAE

AB ≅ BE

AC ≅ BD

EDGE2020

The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles is equal and they can be superimposed.

In the given information, △EBA ≅ △EDC.

Given that the Triangles EBA and EDC are connected at point E.

Also Angles A B E and E C D are right angles.

And Angle A E B and D E C are congruent.

The Sides B E and E D are congruent.

Hence,

AE ≅ CE

∠BAE ≅ ∠DCE

∠CDE ≅ ∠BAE

Now AB ≅ BE

AC ≅ BD

The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

help meeeeeeennsndnxncnvn

Answers

Answer:

12 oz (1)  has the lowest

Step-by-step explanation:

ur wlcmeocxjvieirbvuubvuebwdfjvberlbf

Decide if the statement is giving you the x or y value of the function

Answers

Answer: 1a. f(2) is an x-value

1b. f(x) = 4 is a y-value

1c. f(-10) is an x-value

1d. m(x) = 64 is a y-value

2.  f(4) = 17

3.  x = 39

Step-by-step explanation:  In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.

2.) f(x) = 2x + 9

f(4) = 2(4) + 9

f(4) = 8 + 9

f(4) = 17

3. f(x) = 5x -3

192 = 5x -3

192 + 3 = 5x

195 = 5x

39 = x

Which rules of exponents will be used to evaluate this expression? Check all that apply.

A: product of powers
B: quotient of powers
C: power of a power
D: power of a product
E: negative exponent
F: zero exponent

Answers

Answer:

A: product of powers

B: quotient of powers

E: negative exponent

Step-by-step explanation:

Let's evaluate to see which several rules we would be applying in each step

[tex] \frac{((-8)^4)^{-5}}{(-8)^6} [/tex]

[tex] \frac{((-8)^{4*-5}}{(-8)^6} [/tex] (power of a power)

[tex] \frac{(-8)^{-20}}{(-8)^6} [/tex]

[tex] (-8)^{-20 - 6} [/tex] (quotient of powers)

[tex] (-8)^{-26} [/tex]

[tex] \frac{1}{(-8)^{26}} [/tex] (negative exponent)

Thus, the rules of exponents we have applied to far are:

A: product of powers

B: quotient of powers

E: negative exponent

Answer:

product of powers

quotient of powers

negative exponent

PLEEAAASE HELPPPPP

Distance = ________ x time

A. flow
B. rate
C. work​

Answers

Answer:

B:rate

Step-by-step explanation:

the formula distance= rate × time

Answer:

B

Step-by-step explanation:

The formula for distance is rate × time.

Flow and work don't make sense. Also, work is force × distance.

However, you were given rate is equal to distance/time (r=d/t) and were asked to find what distance would be:

in that case, we'll isolate d onto one side

here's the equation

r=d/t

multiply by t on both sides

rt=d, or rate × time equals distance

either way it's B

Hope this helps!

I need help thank you.

Answers

Answer:

x ≤ 1

Step-by-step explanation:

The graph goes in the left direction, meaning the inequality needs to be less than.

The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.

Answer:

B

Step-by-step explanation:

x ≤ 1

As thee circle at 1 is filled,you have to include 1 also

Can someone pleaseeeeeeeeeee solve these for me

Answers

Answer:

16. (See the attachment)

Step-by-step explanation:

None

for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.

Answers

9514 1404 393

Answer:

  yes, SAS

Step-by-step explanation:

Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).

The ratios of short to long sides are ...

  39/52 = (3·13)/(4·13) = 3/4

  63/84 = (3·21)/(4·21) = 3/4

The sides are proportional and the angle between them is congruent, so ...

  the triangles are similar by SAS.

There are 12 grams of sugar in 1⁄3 of a piece of candy. How much sugar is in 3⁄4 of a piece of candy?

Answers

Answer:

27 grams of sugar

Step-by-step explanation:

If 1/3 candy contains 12 grams of sugar

Then 3/4 candy contains C grams of sugar

C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar

If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the number​

Answers

Step-by-step explanation:

Let the number be x X×5 =1/2 × 3/5 × 615X = 18 X = 18/5 X =3.3

A book contains 120 pages and each page 35 lines how many pages will the book contains if every page has 24 lines

Answers

Answer:

If there will be 24 lines on all pages, there will be 175 pages in the book

Step-by-step explanation:

First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....

120 x 35 = 4200

Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......

4200 / 24 = 175

M is the midpoint of AN, A has coordinates
(-7,4), and M has coordinates (-4, -1). Find
the coordinates of N.
Help explain pls?

Answers

Answer:   (-1, -6)

==========================================================

Explanation:

Let's focus on the x coordinates of each point for now.

Point A has x coordinate -7Point N has an unknown x coordinate. We leave it as x for now.Point M has x coordinate -4

The idea to find the midpoint's coordinates is to add up the endpoints coordinates and divide by 2.

So we'll add up -7 and x, then divide by 2 to get the midpoint x coordinate of -4

In short we have:  (-7+x)/2 = -4

Solving for x leads to...

(-7+x)/2 = -4

-7+x = 2*(-4)

-7+x = -8

x = -8+7

x = -1

This is the x coordinate of point N

-------------------------------

We'll repeat the same idea and steps for the y coordinates

Point A has y coordinate 4Point N has y coordinate unknown. Leave it as y for now.Point M has y coordinate -1

So,

(4+y)/2 = -1

4+y = 2(-1)

4+y = -2

y = -2-4

y = -6

This is the y coordinate of point N.

------------------------------

In summary, we found that point N is located at (-1, -6)

Point A is (-7,4) and point N is (-1,-6)

If you apply the midpoint formula to those two points, you should find the midpoint to be M(-4,-1) which helps confirm the answer.

Another way to confirm the answer is to compute the distance from A to M, which finds the length of segment AM. Do the same for segment MN. You should find that both segments are the same length.

The diagram below is a visual way to check. Starting at point A and moving down to point B, we moved 5 units. Then go from B to M and you'll move 3 units to the right. This pattern "down 5, right 3" is applied again when we go from M to C to N in that order. This effectively creates two congruent triangles (ABM and MCN) which can lead to proving AM = MN.

In short: the red piece of the graph is the same length as the blue piece; this confirms we have the correct answer.

Step-by-step explanation:

According to Question , M is the midpoint of AN, A has coordinates (-7,4), and M has coordinates (-4, -1).

Figure :-

[tex] \setlength{\unitlength}{1 cm}\begin{picture}(20,12) \put(4,0.2){\line(0,-1){0.4}}\put(1,0){\line(1,0){6}} \put(3.8,-0.6){$\bf M(-4,-1) $} \put(1,-0.6){$\bf A (-7,4)$} \put(6.8,-0.6){$\bf N(x,y)$} \end{picture}[/tex]

Let the coordinates of N be ( x , y )

Now , according to Midpoint Formula , the midpoint of points say A(x , y) and B (x' , y') is given by ,

[tex]\boxed{\blue{ \bf Midpoint =\bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) }}[/tex]

On using this formula ,

[tex]=> Midpoint = \bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) \\ \\ => (-4, 1) = \bigg( \dfrac{x -7 }{2} , \dfrac{y + 4 }{2}\bigg) \\ \\ => -4 = \dfrac{x-7}{2} \\\\ => x - 7 = -8 \\\\ => x = 7 -8 \\\\ \boxed{\red{\sf=> x = -1 }} \\\\ => \dfrac{y+4}{2}=-1 \\\\=> y +4 = -2 \\ \\ y = -4-2 \\\\\boxed{\red{\sf=> y = -6 }}[/tex]

PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.96% or 1% to the nearest whole ( use the whole as for your answer )

Step-by-step explanation:

825-817 = 8

8 / 825 = 0.00969696....

x 100 = 0.96%

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