The graph of $f(x)$ is shown below.



For each point $(a,b)$ on the graph of $y = f(x),$ the point $\left( 3a - 1, \frac{b}{2} \right)$ is plotted to form the graph of another function $y = g(x).$ For example, $(0,2)$ lies on the graph of $y = f(x),$ so $(3 \cdot 0 - 1, 2/2) = (-1,1)$ lies on the graph of $y = g(x).$

(a) Plot the graph of $y = g(x).$ Include the diagram in your solution.

(b) Express $g(x)$ in terms of $f(x).$

(c) Describe the transformations that you would apply to the graph of $y = f(x)$ to obtain the graph of $y = g(x).$ For example, one transformation might be to stretch the graph horizontally by a factor of $5.$

Answer:

5

Step-by-step explanation:

Multiply the number by itself, so because 5 * 5 = 25, the sqrt of 25 is 5.

Answer:

complementary angles, right angle

Step-by-step explanation:

If two angles are complementary angles, then their sum is equal to a right angle

If two angles are complementary angles, then their sum is equal to a right angle

In this problem

-------> by complementary angles

we have

Substitute and solve for Angle TSU

therefore

the answer is the option

65%

Answer:

65 is the measure of angle TSU.

Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.

The given sequence of numbers, 16, 32, 48, forms an arithmetic sequence.

Given is a sequence of numbers 16, 32, 48.......... we need to check the type of the sequence.

To determine if a sequence is arithmetic, we can check if the difference between any two consecutive terms is the same.

Let's calculate the differences between the terms in the given sequence:

32 - 16 = 16

48 - 32 = 16

As we can see, the difference between each pair of consecutive terms is 16. This constant difference confirms that the sequence is arithmetic.

In an arithmetic sequence, each term can be obtained by adding the common difference to the previous term. In this case, we add 16 to each term to get the next term:

16 + 16 = 32

32 + 16 = 48

Therefore, the pattern of the given sequence is that each term is obtained by adding 16 to the previous term.

Hence the sequence is an arithmetic sequence.

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Answer:

Step-by-step explanation:

6x

Answer:

-2x+4

Step-by-step explanation:

3-5=-2+x=-2x+4

Answer:

[tex]1\ gallon = 128\ fl\ oz[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}\ gallon => 8\ cups[/tex]

[tex]32\ fl\ oz => 4\ cups[/tex]

Required:

Relationship between gallon and ounces

[tex]\frac{1}{2}\ gallon => 8\ cups[/tex] -- (1)

[tex]32\ fl\ oz => 4\ cups[/tex] -- (2)

Multiply 2 by 2

[tex]2 * 32\ fl\ oz => 4\ cups * 2[/tex]

[tex]64\ fl\ oz => 8\ cups[/tex] --- (3)

The expressions in (1) and (3) are equivalent to 8 cups;

They can be combined to give:

[tex]\frac{1}{2}\ gallon = 64\ fl\ oz[/tex]

Multiply both sides by 2

[tex]2 * \frac{1}{2}\ gallon = 64\ fl\ oz * 2[/tex]

[tex]1\ gallon = 128\ fl\ oz[/tex]

Answer:

a=-7

Step-by-step explanation:

Answer:

a= -7

Step-by-step explanation:

-3(14a+7)=273

-3(14(-7)+7)=273

-3(-98+7)=273

-3(-91)=273

negative times a negative equals a positive

(please mark as brainliest, need it to get to next level <3 )

Answer:

Step-by-step explanation:

perp. -8

y - 4 = -8(x + 2)

y - 4 = -8x - 16

y = -8x - 12

Answer:

4/52 or 1/13

Step-by-step explanation:

this is because there are 13 different cards and you have an equal probability of drawing any of the 13 different cards

The inverse equation of the equation is: A =T2/3

The equation is given as:

T = A3/2

To calculate the inverse equation, we start by multiplying both sides of the equation by 2

T2 = A3

Next, we divide both sides of the equation by 3

A =T2/3

The equation cannot be further simplified

Hence, the inverse of the equation is: A =T2/3

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The  value of A in terms of T is [tex]A=\frac{2}{3}T[/tex]

The given equation is,

                       [tex]T=\frac{3}{2}A[/tex]

We have to find value of A in terms of T.

                      [tex]T=\frac{3}{2}A\\\\A=T\div \frac{3}{2}\\ \\A=T*\frac{2}{3}\\ \\A=\frac{2}{3}T[/tex]

Thus, the  value of A in terms of T is [tex]A=\frac{2}{3}T[/tex]

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Answer:

Length of fence required = 39 m

Step-by-step explanation:

Length of fencing around the triangular garden = perimeter of the triangle

Perimeter = AB + BC + AC

Coordinates of vertices A, B and C are,

A(13, 0), B(20, 15) and C(20, 0)

Formula to get the distance between two ordered pairs is,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2)}[/tex]

AB = [tex]\sqrt{(13-20)^2+(0-15)^2}[/tex]

     = [tex]\sqrt{49+225}[/tex]

     = [tex]\sqrt{274}[/tex]

     = 16.55

BC = [tex]\sqrt{(20-20)^2+(15-0)^2}[/tex]

     = 15

AC = [tex]\sqrt{(20-13)^2+(0-0)^2}[/tex]

     = 7

Perimeter = 16.55 + 15 + 7

                = 38.55 m

                ≈ 39 meters

Length of fence required = 39 meters

Answer:

What is it you need help with?

Step-by-step explanation:

Which one

Answer  

it represents a sphere

Step-by-step explanation:

Answer: It would be a cone because the light goes into a triangle cone shape the farther you point it. It does not make a sphere

Step-by-step explanation:

Answer:

Alternate Interior angles: ∠3 and ∠6

Alternate Exterior angles: ∠2 and ∠7

Same Side Interior angle: ∠5 and ∠3

Same Side Exterior angle: ∠2 and ∠8

Supplementary angle: ∠8 and ∠7

Corresponding angle: ∠1 and ∠5

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

Explanation:

The given equation is in the form

a + (b+c) = (a+b) + c

where,

The associative property of addition is what specifically is being applied. There's a multiplication version of this property as well. The associative property is the idea where we can move parenthesis around to group terms in different ways, and still get the same result regardless of what we did with the parenthesis.

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

The associative property only works with addition and multiplication. Something like subtraction will be a different story

Eg: 1-(2-3) is different from (1-2)-3, so a-(b-c) is not the same as (a-b)-c

Answer:

(-5,-6)

Step-by-step explanation:

Let(-3,-9)=(x1,y1)

(-7,-3)=(x2,y2)

Using midpoint formula,

Midpoint(x,y)=((x1+x2)/2,(y1+y2)/2)

=((-3+(-7))/2,(-9+(-3))/2))

=((-3-7)/2),(-9-3)/2))

=((-10/2),(-12/2))

=(-5,-6)

Thus midpoint(x,y)=(-5,-6)

Answer: l = P/2 - w

Step-by-step explanation:

Perimeter formula for rectangle :

P = 2( l + w )

We have to write l in terms of P and W.

P/2 = ( l + w)

P/2 - w = l

Now, flip the equation and you'll get :

l = P/2 - w

Answer:

the answer for your problem is -3/2 by my calculations. Just had a lesson on quadratic equations in class

Answer:

B

Step-by-step explanation:

mAngleA = 32°, mAngleB = 53°, mAngleC = 95°

The order of sides is equal to the order of opposite angles, which helps us to find that m ∠A = 32°, m ∠B = 53°, and m ∠C = 95°.

Hence, the second option is the right choice.

In a triangle ABC, where a = BC, b = CA, and c = AB, and we are given that a > b > c, then we can see that ∠A > ∠B > ∠C, that is, the sides and the opposite angles follow the same order.

The largest side of the triangle is opposite the largest angle, while the shortest side of the triangle is opposite the shortest angle.

In the question, we are asked to consider a triangle ABC, where AB has a length of 15, BC has a length of 8, and CA has a length of 12.

The angles of this triangle are 32°, 53°, and 95°.

We are asked to find the measure of each angle based on the side lengths.

The side opposite  ∠A is BC = a.

The side opposite  ∠B is CA = b.

The side opposite  ∠C is AB = c.

We are given that, AB = 15, BC = 8, and CA = 12.

Thus we can write that AB > CA > BC or c > b > a.

Now, we know that opposite angles follow the same order.

Therefore, we can write that ∠C > ∠B < ∠A.

The 3 angles given to us are 32°, 53°, and 95°.

Thus, we can say that m ∠A = 32°, m ∠B = 53°, and m ∠C = 95°.

Hence, the second option is the right choice.

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Answer:

The number of cups of strawberries to be used is 11 2/5 cups

Step-by-step explanation:

Here, we want to know how many cups of strawberries to be used given that the recipe was tripled.

From the question, we are told that the recipe required 3 4/5 cups of strawberries.

Now, by tripling the recipe, it means we will be tripling the individual cups too.

So the number of cups of strawberries to be used will be ;

3 4/5 * 3

3 4/5 as improper fraction is 19/5

so we have 19/5 * 3 = 57/5 = 11 2/5

Answer:The right answer is (B)

Step-by-step explanation:

Your welcome

Answer:

B) The numbers in the ratio 344 to 111 are written in the wrong order.

Step-by-step explanation:

Edg 2020

Answer:

4.67 × [tex]10^{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

4.67 x 10^7

Answer:

[tex]m=-\frac{42}{31}[/tex]

Step-by-step explanation:

[tex]m+7+\left(-15m\right)+9-17m=58[/tex]

Remove brackets:

[tex]m+7-15m+9-17m=58[/tex]

Group the similar terms together:

[tex]m-15m-17m+7+9=58[/tex]

[tex]-31m+16=58[/tex]

Subtract 16 from both sides:

[tex]-31m+16-16=58-16[/tex]

[tex]-31m=42[/tex]

Divide both sides by -31:

[tex]\frac{-31m}{-31}=\frac{42}{-31}[/tex]

[tex]m=-\frac{42}{31}[/tex]

Step-by-step explanation:

1.

[tex]2d + 3 \leqslant - 11 \\ 2d \leqslant - 11 - 3 \\ 2d \leqslant - 14 \\ \frac{2d}{2} \leqslant \frac{ - 14}{2} \\ d \leqslant - 7[/tex]

2.

[tex]3d - 9 > 15 \\ 3d > 15 + 9 \\ 3d > 24 \\ \frac{3d}{3} > \frac{24}{3} \\ d = 8[/tex]

Welcome

Answer:

127°

Step-by-step explanation:

I remember a teacher gave me a solution to solve these types of questions.

choose only one corner and draw lines from that Corner to the rest of the corners to form triangles.

for example, in this question, I choose 120°. 1 line to 125°, 1 to 133°, one to 112°. you can't draw any straight lines to the rest of the corners.

now you have 4 triangles. and the sum of the angles of each triangle, is 180°. so, the sum of the angles of this Irregular hexagon is 4×180=720°.

now:

112+133+120+100+128+x=720

593+x=720

x=720-593

x=127°

i know it seems a little complicated, but if you read it carefully, you'll probably understand.if anything is unclear, ask freely.

Answer:

The length of the side of the cube is 9cm.

Step-by-step explanation:

hope this helps!!!!!!!!!!!!!

Answer:

9 cm

Step-by-step explanation:

Volume of a cube is x^3 so doing cube root of the volume will get you one side of the cube.

Answer:

Pair 1.

Step-by-step explanation:

On pair 1, shape A can go into shape B with a rotation.

Pair 2 would be a translation.

Pair 3 would be a reflection across the x-axis.

Pair 4 would be a reflection across the y-axis.

Answer:

(-4, -1)

Step-by-step explanation:

Given points:

Midpoint coordinates are found using midpoint formula:

Point coordinates: