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torisob [31]
2 years ago
12

Find the equation for a polynomial f(x) that satisfies the following:

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

Answer:

f(x) = 1/2(4 - x)(x - 1)(x - 2)

Step-by-step explanation:

Considering zero's and a coefficient, the function is:

f(x) = a(x - 4)(x - 1)(x - 2)

Considering y-intercept:

f(0) = a(0 - 4)(0 - 1)(0 - 2)

4 = a(-4)(-1)(-2)

4 = -8a

a = -1/2

So the function is:

f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)

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Granite counter tops cost $40 for every square foot. The base pay to install the counter top is $750. Set up a Linear Model repr
garri49 [273]

Answer: y = 40x + 750

Step-by-step explanation:

Linear model;

y = mx + c

y is the total cost of buying granite counter tops for a certain number of square foot as well as the cost to install the counter top.

m is the cost of granite counter tops per square foot which is $40 in this case.

x is the number of square feet required.

c is the base pay for the installation of the counter top which is $750

Linear model will therefore look like this;

y = 40x + 750

To test it. Assume you want enough granite tops for 10 square feet. How much would it cost;

= 40 (10) + 750

= $1,150

8 0
2 years ago
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Which expression below is equivalent to the expression -3/4(-12x-20Y)
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The answer would be a
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Ganezh [65]
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Use the figure to answer the question that follows:
Olegator [25]

Answer:

  • m∠SQV + m∠VQT = 180°

Step-by-step explanation:

<u> m∠SQT is substituted by 180° at step 5</u>

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Assoli18 [71]

Answer:

The measure of arc a is 86°

Step-by-step explanation:

we know that

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so

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see the attached figure with letters to better understand the problem

In this problem

Triangles ABO and CDO are congruent by SSS postulate theorem

∠AOB=∠COD

∠AOB=arc a -----> by central angle

∠COD=arc c -----> by central angle

therefore

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so

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arc a=86°

3 0
3 years ago
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