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3 years ago

34 < 5x + 9 < 44 Inequality

Mathematics

1 answer:

Ksivusya [100]3 years ago

5 0

Answer:

5 < x < 7

Step-by-step explanation:

- Move all terms not containing x from the center section of the inequality.

25 < 5 x < 35

- Divide each term in the inequality by 5 .

5 < 1x < 7

5 < x < 7

i hope this helps :)

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A grocer is stocking cans of beans on his shelf for a 7-day week and will

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Answer:

Step-by-step explanation:

Given inequality:

n ≥ 4d

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2 years ago

How do you estimate 289 and 7

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Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 − 10 y = 14 into center-radius form of a circle.

jonny [76]

Answer:

The answer to your question is (x + 7)² + (y - 5)² = 88

Step-by-step explanation:

Equation

x² + 14x + y² - 10y = 14

Complete perfect trinomial squares

x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²

Simplify

x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25

x² + 14x + (7)² + y² - 10y + (5)² = 88

Factor

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center-radius

7 0

3 years ago

PLEASE HELP!!!

AlekseyPX

Answer:

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]

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3 years ago