Answer:
22 and 7
Step-by-step explanation:
Let x and y be the two numbers we are looking for:
The statement “their sum is 29” means x + y = 29
The statement “their difference is 15” means x - y = 15
we get this system:
x + y = 29 (1)
x - y = 15 (2)
Let’s solve it :
(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22
Now we replace x by 22 in equation (1) :
22 + y = 29 ⇒ y = 29 - 22 = 7
Fractions that aren't equivalent would be 30/60, 34/60 and anything that cannot be the same as 36/60.
Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question
answer:
≈ 95 units ( output level )
Step-by-step explanation:
Given data :
P = 2000 - Q/10
TC = 2Q^2 + 10Q + 200 ( assumed value )
<u>The output level where a purely monopolistic market will maximize profit</u>
<u>at MR = MC </u>
P = 2000 - Q/10 ------ ( 1 )
PQ = 2000Q - Q^2 / 10 ( aka TR )
MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5
TC = 2Q^2 + 10Q + 200 ---- ( 2 )
MC = d (TC) / dQ = 4Q + 10
equating MR = MC
2000 - Q/5 = 4Q + 10
2000 - 10 = 4Q + Q/5
1990 = 20Q + Q
∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )
a
Step-by-step explanation:
you are trying to divide x by 7 to isolate x. so you divide by 8 on both sides.
Answer:
D
Step-by-step explanation:
The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:

I will use the quadratic formula:

Therefore, x = 9 is a 0. Let's check with subtracted root now:

It appears 0 is also a root.
Therefore, the answer is D.