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r-ruslan [8.4K]
3 years ago
15

Select all factors of the following polynomial: 5p3 + 45p2 + 40p​

Mathematics
1 answer:
madam [21]3 years ago
7 0

Answer:

\huge\boxed{5p;\ (p+1)}

Step-by-step explanation:

5p^3+45p^2+40p=5p(p^2+9p+8)=5p(p^2+p+8p+8)\\\\=5p\bigg[p(p+1)+8(p+1)\bigg]=5p(p+1)(p+8)\\\Downarrow\\\boxed{5p};\ \boxed{(p+1)};\ \boxed{(p+8)}

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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. 
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3 years ago
Between which two ordered pairs does the graph of f(x) = 1/2x2 + x – 9 cross the negative x-axis? (–6, 0) and (–5, 0) (–4, 0) an
lbvjy [14]

Answer:

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Step-by-step explanation:

When it crosses the x axis, it's an x-intercept. To find the x-intercept, set y (aka f(x)) to zero. The solutions to the equation are approximately 3.36 and - 5.36. Since you're finding the negative x-intercept, you only need the negative solution - 5.36. This is in between (-6,0) and (-5,0).

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