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2 years ago

Find a polynomial function of degree 3 such that f(10)=17 and the zeros of f are 0, 5 and 8

Mathematics

1 answer:

fomenos2 years ago

3 0

Step-by-step explanation:

Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.

We know that f(10) = 17.

=> A(10)(10 - 5)(10 - 8) = 17

=> A(10)(5)(2) = 17

=> 100A = 17, A = 0.17.

Hence the answer is f(x) = 0.17x(x - 5)(x - 8).

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The erea of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

crimeas [40]

Answer: The expression that represents the area of Mary's new garden =2x^2

Step-by-step explanation:

The area of a square is given by x^2, where x is the length of one side. The length of the other side is also x. In a square, all sides are equal. each of the four sides equal x

Area = x × x

Area = x^2

She decided to double the area of her garden

New area = 2(x × x)

New area = 2x^2

The expression that represents the area of Mary's new garden =2x^2

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2 years ago

Use the diagram to solve. What is 135% of 280?

Darina [25.2K]

378% is the correct answer. Divide 280 by 100 to find 1 percent. Then multiply by 135 to find 135%

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1 year ago

Read 2 more answers

You need to write an essay that has at least 500 words you have written 285 words so far right and solve an inequality that Reec

andrezito [222]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

$w+285\geq 500$

Solve for w

Subtract 285 both sides

$w\geq 500-285\\w\geq 215$

The minimum number of words left to write is 215

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2 years ago

On Sunday Sheldon bought 3 and 1/2kg of plant food. He used 1 and 2/3kg on his strawberry plants and used 1/4kg for his tomato p

notsponge [240]

The remaining plant food is: 1 7/12 kg

Step-by-step explanation:

Given

Total Plant food = 3 1/2 kg

Plant food used on Strawberry Plants = 1 2/3 kg

Plant food used on tomato Plants = 1/4 kg

We will first calculate the total food plant used and then subtract the used plant food from the total plant food.

So,

$Total\ Plant\ Food\ used=1\frac{2}{3}+\frac{1}{4}\\=\frac{5}{3}+\frac{1}{4}\\=\frac{20+3}{12}\\=\frac{23}{12}$

Now,

$Left\ Food\ Plant=3\frac{1}{2}-\frac{23}{12}\\=\frac{7}{2}-\frac{23}{12}\\=\frac{42-23}{12}\\=\frac{19}{12}\\=1\frac{7}{12}$

The remaining plant food is: 1 7/12 kg

Keywords: Division, Fractions

Learn more about fractions at:

#LearnwithBrainly

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2 years ago

If the tax rate on homes in Topeka, Kansas is 2.4 percent of their value and Bonnie owns a $100,000 house, how much will the rea

Ksivusya [100]

Answer:

$200

Step-by-step explanation:

The annual tax bill is ...

2.4% × $100,000 = $2,400

On a monthly basis, that is ...

$2400/(12 mo) = $200/mo

Taxes will add $200 per month to Bonnie's mortgage payment.

3 0

2 years ago