Which expression has been simplified correctly? Show work.

1 answer:

5 0

$(-3g)^{4} = (-3)^{4} (g)^{4} =81 g^{4}$ . . . . . . . . (first option is not correct)
$(w^3x^2y^2)(w^2x^3y)=w^{3+2}x^{2+3}y^{2+1}=w^5x^5y^3$ . . . . . . . . (option 2 is correct)
Simmilarly you can show that the third and fourth options are not correct.

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If f (x) = -x - 7 what is f (-3)<br> Plz help

agasfer [191]

Answer:

f(-3) = -4

Step-by-step explanation:

f(-3) = -(-3) - 7

= 3 - 7

= -4

6 0

3 years ago

Which equation represents the function graphed on the

Vesna [10]

Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given.
The parent modulus function is:
g(x) = |x|
It is centered at the origin and opens upwards.
A coefficient inside the modulus |x+k| means that the function is shifted along the x-axis
If "k" is positive, the shift will be to the left. If "k" is negative, the shift will be to the right.
A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis
If "h" is positive, the shift will be upwards. If "h" is negative, the shift will be downwards.
Now, let's check each of the options:
g(x) = |x+4| - 2 :
This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.
g(x) = |x-4| - 2 :
This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.
g(x) = |x-2| - 4 :
This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment.
g(x) = |x-2| + 4 :
This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.
All 4 graphs are shown in the attached picture.
Hope this helps :)

4 0

3 years ago

Geometry math question no Guessing and Please show work

djverab [1.8K]

The scale factor is -2. The answer is choice A

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

How did I get this answer? By picking any pair of preimage and corresponding image points. Let's pick on preimage point A and its paired image value A'.

Note how the x coordinate jumps from -11 to +22. So we multiplied by -2 to do this jump. We can see that 22/(-11) = -2 is another way to get this. Similarly, the same happens to the y coordinates as well: -14/7 = -2.

In short, you multiply the preimage coordinate by the scale factor -2 to get the corresponding image coordinates. Points B and C will follow the same pattern.

7 0

3 years ago

A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the

faust18 [17]

Start with the given formula for the surface area of a sphere.

$S = 4 \pi r^2$

Now substitute 2x + 5 in for r, the radius.
Then simplify the expression and write it in standard form.

$S = 4 \pi (2x + 5)^2$

$S = 4 \pi (4x^2 + 20x + 25)$

$S = 16 \pi x^2 + 80 \pi x + 100 \pi$

5 0

3 years ago

Suppose that when a system of linear equations is graphed, one line completely overlaps the other line. Which statement is corre

N76 [4]

If 1 line completely overlaps the other line, they are the same line with infinite solutions.....so ur answer would be the 4th one

6 0

4 years ago

Read 2 more answers