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kari74 [83]
4 years ago
6

Let f(x)=x-5 and g(x)=x^2-7x+8 find f(x) × g(x)

Mathematics
1 answer:
timurjin [86]4 years ago
5 0

Answer:

x³ - 12x² + 43x - 40

Step-by-step explanation:

f(x) × g(x)

= (x - 5)(x² - 7x + 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 7x + 8) - 5(x² - 7x + 8) ← distribute both parenthesis

= x³ - 7x² + 8x - 5x² + 35x - 40 ← collect like terms

= x³ - 12x² + 43x - 40

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Answer:

0.00851=8.51\times 10^{-3} cm.

Step-by-step explanation:

We have been given that the average human body cell is about 5.1\times10^{-4} cm in diameter. The diameter of a plant cell is 8\times10^{-3} cm.

To find the combined diameter of the body cell and plant cell, we will add both diameters.

First of all let us convert our given diameters in standard notation.

5.1\times10^{-4}=0.00051

8\times10^{-3}=0.008

\text{The combined diameter of body cell and plant cell}=0.00051+0.008

\text{The combined diameter of body cell and plant cell}=0.00851

Let us convert our answer in scientific notation.

\text{The combined diameter of body cell and plant cell}=8.51\times 10^{-3}

Therefore, the combined diameter of the body cell and plant cell is 0.00851=8.51\times 10^{-3} cm.

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