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ella [17]
2 years ago
11

A small town of 1,000 people increases its population by 2,000 the grocery store raises its prices to match the new equilibrium

price point
Mathematics
1 answer:
Alexxandr [17]2 years ago
7 0

1. If a shift in demand and/or supply has taken place, identify the change and list the determinant.

Answer:

The answer is below

Step-by-step explanation:

The demand has increased or shifted to the right.

The supply did not change.

The determinant for this situation is the increase in demand

However, with the price increment, the will be an increase in supply.

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If f(x) =-2+8 and g(x) = square root of x+9 which statement is true
lidiya [134]

The statement that -6 is in the domain of f(g(x)) is true

<h3>Complete question</h3>

If f(x) = -2x + 8 and g(x) = \sqrt{x + 9, which statement is true?

  • -6 is in the domain of f(g(x))
  • -6 is not in the domain of f(g(x))

<h3>How to determine the true statement?</h3>

We have:

f(x) = -2x + 8

g(x) = \sqrt{x + 9

Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute g(x) = \sqrt{x + 9

f(g(x)) = -2\sqrt{x + 9} + 8

Set the radicand to at least 0

x + 9 \ge 0

Subtract 9 from both sides

x \ge -9

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true

Read more about domain at:

brainly.com/question/24539784

#SPJ1

3 0
2 years ago
Find the percent increase or decrease for each of the following values (Indicate whether each is an increase or a decrease). y t
ehidna [41]

Answer:

y to 0.78y is a decrease

Step-by-step explanation:

y by itself can also be written as 1y, and 0.78y is less than 1, thus y to 0.78y is a decrease.

5 0
2 years ago
Evaluate the composition of functions.
valina [46]

Answer:

  2

Step-by-step explanation:

Fill in each function's argument and do the arithmetic.

  h(g(f(\sqrt{10})))=h(g(2(\sqrt{10})^2-7))=h(g(2\cdot 10-7))=h(g(13))\\\\=h(\dfrac{4-13}{9})=h(\dfrac{-9}{9})=h(-1)\\\\=\sqrt{-(-1)+3}=\sqrt{4}=\boxed{2}

7 0
3 years ago
Suppose y varies directly with x. If y = 6 when x = 2, find x when y = 12.
igomit [66]

Answer:

x = 4 when y = 12

Step-by-step explanation:

The ratio of y to x is 6:2. If you multiply either one of them, you must do the same to the remaining number. So, when you multiply 6 by 2 to get 12, you must also multiply 2 by 2 to keep the ratio equal and the same. 2x2 = 4, so x=4 when y=12. Hope this helped! Good luck with other math problems :)

3 0
3 years ago
Which ordered pair makes both inequalities true? y &gt; –2x + 3 y &lt; x – 2 (0,0) (0,–1) (1,1) (3,0)
m_a_m_a [10]
The answer is (3,0).
7 0
3 years ago
Read 2 more answers
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