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3 years ago

Supply function: 2p-q-63 and the demand function: (p+30)(q+25)=2584. What is the market equilibrium point?

1 answer:

6 0

Equilibrium is point where supply = demand

Solve with substitution.

From supply equation ---> q = 2p - 63

Sub into demand equation ---> (p+30)(2p-63+25) = 2584

Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38

Sub back into supply equation to find q
q = 2(38) - 63
q = 13

Answer: Equilibrium is 13 units sold at price of $38.

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Given f(x) = 9x - 5 and g(x) = x², choose the expression for (fºg)(x).

svetlana [45]

Answer:

9x² -5

Step-by-step explanation:

(f○g)(x) means f(g(x))

Put the definition of g(x) in place of x in the definition of f(x):

f(g(x)) = f(x²) = 9(x²) - 5

(f○g)(x) = 9x² - 5

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3 years ago

You have to read 1012

Lyrx [107]

We read $3\frac{1}{2}$ pages .

Step-by-step explanation:

Correct Question: You have to read 10 1/2 pages for homework. So far, you have read 1/3 of the assignment. How many pages did you read?

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Basically we read 1/3 part of the 10 1/2 pages assignment i.e.

⇒ $10\frac{1}{2}(\frac{1}{3})$

⇒ $\frac{20+1}{2}(\frac{1}{3})$

⇒ $\frac{21}{2}(\frac{1}{3})$

⇒ $\frac{3(7)}{2}(\frac{1}{3})$

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3 years ago

Factor the expression 20g3 + 24g2 – 15g – 18

abruzzese [7]

First, put parenthesis around the first two numbers and the last two numbers.
(20g³+24g²) (-15g-18)
Then, take out the greatest common factor of both parenthesis.
4g²(5g+6)-3(5g+6)
You then separate the numbers outside the parenthesis and the numbers in the parenthesis.
(5g+6) (4g²-3)
Then you simplify the second set of numbers. Since the set of numbers can't be simplified, you would leave this problem as it is. I hope this makes sense.

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3 years ago

Item 16 Solve the equation. −4/9f=−3

juin [17]

The answer is f= $\frac{4}{27}$

4 0

3 years ago

Read 2 more answers

Multiply (2.0 ⋅ 10−4) ⋅ (3.1 ⋅ 10−20). Express the answer in scientific notation. The options are:

Mkey [24]

(2.0×10^-4)×(3.1×10^-20)
=(2.0×3.1)×(10^4×10^-20)
=6.2×10^(-4+(-20))
=6.2×10^-24. Hope it help!

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3 years ago