Which is a factor of 20x2 + 40x + 15? 4x + 1 4x + 3 2x + 3 x + 2

Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repe

Makovka662 [10]

Given:

The expression is

$(-8)^3\cdot (-8)^4$

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

$(-8)^3\cdot (-8)^4$

The repeated multiplication form of this expression is

$=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]$

$=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)$

Clearly, (-8) is multiplied seven times by itself. So,

$=(-8)^7$

Therefore, the repeated multiplication form of the given expression is $(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)$ and the expression as single power is $(-8)^7$ .

7 0

2 years ago

Which statement is true about the graphed function?

Semmy [17]

A function is positive if it lies above the x axis.

This function is positive before x = -4, i.e. over the interval $(-\infty, -4)$

It is negative elsewhere, i.e. over the interval $(-4, \infty)$

So, the only correct option is the second one.

6 0

3 years ago

Read 2 more answers

The area of each square is 25 square unit what's the perimeter

Lerok [7]

Since the area of a square is side squared, you can find the length of each side by finding the square root of the area, which is 5. Since there are four sides in a circle, just multiple 5 by 4 and your answer is 20 units.

7 0

2 years ago

The area of a rectangular wall of a barn is 133 square feet. It's length is 12 feet longer than the width. Find the length and w

GuDViN [60]

I'll give you a few hints. Area of a rectangle is length times width. We know that length times width is 135 sq ft, so we can express it as:

L * W = 135 

Now, L is 6 feet longer than width (L = 6 + W). Something tells me this is going to involve a quadratic formula then plugging in values into our original equation.

7 0

3 years ago

Triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. This triangle is then translated 5 units righ

xxMikexx [17]

Answer:

The coordinates of vertex A" is (3 , 1)

Step-by-step explanation:

* Lets revise The translation of a point

- If the point (x , y) translated horizontally to the right by h units

then the new point = (x + h , y)

- If the point (x , y) translated horizontally to the left by h units

then the new point = (x - h , y)

- If the point (x , y) translated vertically up by k units

then the new point = (x , y + k)

- If the point (x , y) translated vertically down by k units

then the new point = (x , y - k)

* Now lets solve the problem

∵ Δ ABC has a vertex A = (-4 , 2)

∵ The Δ ABC is translated 2 units right and 5 units down to form

triangle A′B′C′

- From the rule above the x coordinate id added by 2 and the

y-coordinate is subtracted by 5

∴ A' = (-4 + 2 , 2 - 5) = (-2 , -3)

∴ The image of vertex A is A' = (-2 , -3)

∵ Δ A'B'C' is then translated 5 units right and 4 units up to form

triangle A″B″C″

- From the rule above the x coordinate is added by 5 and the

y-coordinate is add by 4

∴ A" = (-2 + 5 , -3 + 4) = (3 , 1)

* The coordinates of vertex A" is (3 , 1)

3 0

2 years ago