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3 years ago

8

Brooke has to set up 70 chairs in equal rows for the class talent show. But there is not room for more than 20 rows. What are th

e possible number of rows that Brooke could set up?

1 answer:

earnstyle [38]3 years ago

3 0

14 rows
10 rows
7 rows
5 rows

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AlekseyPX

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = $\frac{m(b) - m(a)}{b - a}$

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = $\frac{4 - (-12)}{2 - (-2)}$

= $\frac{16}{4}$

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = $\frac{n(b) - n(a)}{b - a}$

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = $\frac{6 - (-6)}{2 - (-2)}$

= $\frac{12}{4}$

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = $\frac{q(b) - q(a)}{b - a}$

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = $\frac{-12 - (-4)}{2 - (-2)}$

= $\frac{-8}{4}$

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = $\frac{p(b) - p(a)}{b - a}$

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = $\frac{-4 - 12}{2 - (-2)}$

= $\frac{-16}{4}$

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

3 0

3 years ago

A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Yolanda chooses a marble at random, and without putting it ba

aliya0001 [1]

Answer:

2/10 = 1/5

Step-by-step explanation:

7 0

3 years ago

What is the percent of discount on a $44 video game on sale for $28.60

Agata [3.3K]

Answer:

35% discount.

Step-by-step explanation:

28.60 / 44 = 13/20

13/20 = 65/100 = 65%

28.60 is 65% of 44

100 - 65 = 35

Therefore, the discount is 35%.

8 0

3 years ago

I’m not sure how to write this equation. Please check the picture to see the graph for yourself! Help will be much appreciated!

Makovka662 [10]

let's notice something, the parabola is a vertical one, so the squared variable is the x, and is opening downwards, meaning the x² will have a negative coefficient.

the distance from the vertex to the directrix/focus is the amount of "p" units, let's see in the graph, the distance from the vertex to the directrix is 2, and since the parabola is opening downwards, "p" is a negative 2, p = -2. The vertex is of course at (0, 2).

$\bf \textit{parabola vertex form with focus point distance}
\\\\
4p(y- k)=(x- h)^2
\qquad
\begin{array}{llll}
vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\begin{cases}
h=0\\
k=2\\
p=-2
\end{cases}\implies 4(-2)(y-2)=(x-0)^2\implies -8(y-2)=x^2
\\\\\\
y-2=\cfrac{x^2}{-8}\implies \blacktriangleright y=-\cfrac{1}{8}x^2+2 \blacktriangleleft$

8 0

2 years ago

Arc cd 1\4 of the circumstance of a circle. What is the radian measure of the central angle.

k0ka [10]

"<span>Arc cd 1\4 of the circumstance of a circle. What is the radian measure of the central angle." Better: 'The arc CD is 1/4 the circumference of a circle. What is the radian measure of the central angle?'

That would be 1/4 of 2pi, or pi/2 (answer)</span>

3 0

3 years ago