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patriot [66]
3 years ago
11

What is the fully factored form of 32a3+12a2

Mathematics
1 answer:
galben [10]3 years ago
3 0
Hello!

I believe it would be 4a(8+3)6
By finding the GCF, 4a, we factor what it can go into. The other factors, 3 and 2, are multiplied and put at the end.

Hope this helps!
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Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x 2. Find the marginal cost when 30 radios are produ
My name is Ann [436]
C(x) = 400 + 20x - 0.2x²

c(30) = 400 + 20(30) - 0.2(30)²

= 400 + 600 - 0.2(900)
= 1000 - 180
= 820

It costs $820 when 30 radios are produced. 

Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two. 

c(31) = 400 + 20(31) - 0.2(31)²

= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.

Now we find the difference which means we subtract the two. 

828 - 820 = 8. 

Your marginal cost is $8. 

To compare we can also do 29 radios. 

c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812

820 - 812 = 8. 
7 0
3 years ago
Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts
Damm [24]

Answer:

t=2.08 seconds.

Step-by-step explanation:

Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.

4 0
3 years ago
Amaya used these steps to solve the equation 8x + 4 = 9 + 4 (2x-1). Which choice describes the meaning of her result, 4=5?
pogonyaev
She distributed the 4 to the 2x-1, giving her 9+ 8x -4. she subtracted 8x from both sides leaving her with 4=9-4 which is the same as 4=5
5 0
3 years ago
Read 2 more answers
Find the percent of markup round to the nearest tenth
Ilya [14]

The first step in solving this problem is to compute the amount of markup. You can do this by deducting the original price to the marked up price.

$70.00 - $35.50 = $34.50

To get the percent of markup, you have to divide the amount of markup to the original price.

$34.50 / $35.50 = 97.2%

3 0
3 years ago
Write two times eighteen hundredths
Rzqust [24]

Answer

:2 X 0.018 = 0.036 (thirty six hundreds)

Step-by-step explanation:

8 0
2 years ago
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