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Minchanka [31]
3 years ago
6

A prom ticket at Smith High School is $120. Tom is going to save money for the ticket by walking his neighbor’s dog for $15 per

week. If Tom already has saved $22, what is the minimum number of weeks Tom must walk the dog to earn enough to pay for the prom ticket?
Mathematics
2 answers:
gladu [14]3 years ago
6 0

Answer:

7 weeks

Step-by-step explanation:

lara [203]3 years ago
3 0

Answer:

7 weeks

Step-by-step explanation:

Let's start by finding the amount of money Tom still has to make. TO do this, we can do 120-22 = $98. Let's call the number of weeks x. When we write it as an equation, we get 15x=98. Solving for x, we get x=6.53, but we have to round up to the nearest integer due to the context of the problem. Therefore, the answer is 7 weeks. Hope this helps!

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5. Given (x + 1) and (x-3) are factors of P(x) = x4-5x³-7x² + cx + d. Determine the values
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By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

<h3>How to determine the missing coefficients of a quartic equation</h3>

A value x is a root of a polynomial if and only if p(x) = 0. We must replace the given equation with the given roots and solve the resulting system of <em>linear</em> equations:

(- 1)⁴ - 5 · (- 1)³ - 7 · (- 1)² + (- 1) · c + d = 0    

- c + d = 1      (1)

3⁴ - 5 · 3³ - 7 · 3² + 3 · c + d = 0    

3 · c + d = 117       (2)

The solution of this system is c = 29 and d = 30.

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

To learn more on polynomials: brainly.com/question/11536910

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