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sattari [20]
2 years ago
15

7. Matthew drove 350 miles on 10 gallons of gasoline. How many miles per gallon does

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
6 0

Answer:

35

Step-by-step explanation:

Just divide 350 by 10 since it asks, "How many miles per gallon".  

= 35

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Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2
drek231 [11]

<u>Answer:</u>

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is x^{3}-2 x^{2}-x+2=0

<u>Solution:</u>

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is  

F(x)=x^{3}-(a+b+c) x^{2}+(a b+b c+a c) x-a b c=0

where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0

\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}

So, the equation is x^{3}-2 x^{2}-x+2=0

Let us put x = 0 in f(x) to check whether our answer is correct or not.

\mathrm{F}(0) \rightarrow 0^{3}-2(0)^{2}-0+2=2

Hence, the equation of the polynomial is x^{3}-2 x^{2}-x+2=0

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3 years ago
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List the first five multiples of each number of 22​
sukhopar [10]

Answer:

The first five multiples of 22 are:

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I hope this helps.

5 0
3 years ago
Centerville Middle School spends $11 for every workbook it buys. At most how many workbooks can Centerville Middle School buy if
Lostsunrise [7]

If you divide 22 by 11 you get two.

Your answer is 2.

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3 years ago
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What is the area of the largest circular rug that will exactly fit in a square room with an area of 144 square feet?
alexira [117]

Answer:

36 pi

Step-by-step explanation:

Each length is 12 feet, so the radius will be 6 ft

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2 years ago
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