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viktelen [127]
2 years ago
8

Petra takes $15 to the roller skating rink to spend on skates and food. Suppose it costs $4.75 to rent roller skates. Define a v

ariable and write an inequality to represent the amount of money Petra can spend on food. Then solve the inequality and interpret the solution. Explain your reasoning.
Mathematics
1 answer:
aksik [14]2 years ago
7 0

Step-by-step explanation:

15 <= x + 4.75

x is the amount spent on food. and she can't spend more than she has.

10.25 <= x

she can't spend more than 10.25 on food.

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KengaRu [80]

Answer: a = -2

b = 8

Step-by-step explanation:

Given :

x^{2} +ax

re - writing the equation , we have

x^{2} +ax-b

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

x^{2} - sum of roots(x) + product of root = 0

sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

x^{2} -2x-8=0 , which could be written in inequality form as

x^{2} -2x-8

comparing with x^{2} +ax-b , it means that :

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3 0
3 years ago
Draw the circle with equation x² + y² = 16
Mrrafil [7]

Answer:

Below.

Step-by-step explanation:

The center of the circle is at the origin and its radius is √16 = 4.

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2 years ago
You borrowed $11,250 from the bank to buy a used car. You will pay the bank back in 5 years with 3.45% interest compounded annua
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Answer:

(D)$2079.23

Step-by-step explanation:

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Time=5 years

Rate=3.45%

Since it is compounded annually, our compound interest will be derived using this formula:

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4 0
3 years ago
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nikklg [1K]

Answer:

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Step-by-step explanation:

The parameters given are:

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