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2 years ago

Use the drawing tools to form the correct answers on the graph.

Mathematics

1 answer:

Julli [10]2 years ago

5 0

Answer:

4, 2, 1, 2, 4

Step-by-step explanation:

-2 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-2).

f(-2) = (1/2)^-2 = 1^-2/2^-2 = 2^2/1^2 = 4/1 = 4

-1 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-1).

f(-1) = (1/2)^-1 = 1^-1/2^-1 = 2^1/1^1 = 2/1 = 2

0 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(0).

f(0) = (1/2)^0 = 1^0/2^0 = 1/1 = 1

1 > 0, so use the second equation, f(x) = 2^x, to find f(1).

f(1) = 2^1 = 2

2 > 0, so use the second equation, f(x) = 2^x, to find f(2).

f(2) = 2^2 = 4

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Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the grap

kap26 [50]

1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36

2) x-intercept => y = 0 => factor the function (start by dividing by x -2)

f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)

3) critical points:

between x = 2 and x = 3, there is a local maximum

between x =3 and x = 6 there is a local minimum

3) Shape.

The function comes growing from - infinity.

In the third quadrant the function is negative (it does not pass throuhg the second quadrant)

It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.

It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.

3 0

3 years ago

Help me with this for geometry please

Kamila [148]

Answer:

57 units

Step-by-step explanation:

So the step is we need to find out the scale factor

And the scale factor is 24/8 =3

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8 0

3 years ago

Graph the line using intercepts: 4x-3y=12

Furkat [3]

First you have to find the intercepts!

To find the y-intercept (I usually do that first), pretend x=0.
Then it becomes:
4(0)-3y=12
Which then becomes:
-3y=12.
Divide both sides, and y = -4.
Then the (x,y) coordinate would become (0, -4).

Next you would find the x-intercept, and pretend y = 0.
Which then becomes:
4x-3(0)=12
3x0 cancels out to become:
4x = 12
And x = 3 because division stuffs.
Then THIS point would then be (3,0).

So then, you would plot (0,-4) and (3,0) on a graph and connect the points! I attached a picture for reference.

hope that helped~

8 0

4 years ago

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Travis had a rectangular garden that measured 10feet by 12 feet. He planted pumpkins in his garden. Each pumpkin olant took up 2

BartSMP [9]

dividing the length and width by 2

10 ÷ 2 = 5 and 12 ÷ 2 = 6

he can plant 5 × 6 = 30 pumpkin plants

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4 years ago

Angle XYZ is rotated 270 degrees counterclockwise about the origin to form angle X’Y’Z’. Which statement shows the measure of an

8090 [49]

It is fine that you did not include the measure of angle XYZ in your posting.

This question is testing your knowledge of the four types of transformations.
1) Translations - an item is "slid" to a new location.
2) Reflections - an item is "flipped" (usually over the x-axis or y-axis)
3) Rotations - an item is rotated, usually around the origin (the point (0,0) is the center of most rotations, especially in high school math).
4) Dilations - an item is enlarged or reduced by a certain ratio.

It the first three, the image after the transformation is congruent to the pre-image. It has the same size and shape. It is simply flipped, rotated, slid...

But... in the fourth, dilation, the image now has a different size. It is still, however the same shape.

In geometry terms, after the first three transformations, the image is still "congruent" to the pre-image. After dilation, the image is "similar" but not "congruent."

So... all that to say that when you rotate an angle around the origin, the measure of the angle doesn't change.

So the first choice is correct. The measure of the image of the angle is the same as the measure of the angle.
<span>m∠X’Y’Z’ = m∠XYZ
</span>

7 0

3 years ago

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