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klio [65]
3 years ago
15

yesterday Clara reached 4 people in 10 phone calls while toby reached 3 people in 8 phone calls. if they continue at those rates

who will reach more people in 40 phone calls?
Mathematics
1 answer:
laiz [17]3 years ago
8 0
Clara will she will have 16 phone calls while Toby will have 15
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The martinez family has a walkway around their swimming pool. the area of the walkway can
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The width of the walkaway be 4 feet.

<h3>What is Discriminant Formula?</h3>

The discriminant formula is used to determine the nature of the roots of a quadratic equation. The discriminant of a quadratic equationax^{2} +bx+c=0 is D =b^{2} -4ac

If D > 0, then the equation has two real distinct roots.

If D = 0, then the equation has only one real root.

Given that: Area\; of \;walkway,\; a(w)\;= 4w^{2} + 100 w

also, area of walkaway = 464 square feet.

So, 4w^{2} + 100 w =464

     4w^{2} + 100 w -464=0

Using Discriminant method,

a=4, b=100, c=-464

w= \frac{-b\pm\sqrt{b^{2}-4ac} }{2a}

w= \frac{-100\pm\sqrt{(100)^{2}-4*4*(-464)} }{2*4}

w= \frac{-100\pm\sqrt{17424} }{8}

So, w_1= \frac{-100+\sqrt{17424} }{8} \;\;\;\; w_2= \frac{-100-\sqrt{17424} }{8}

w_1= \frac{-100+132 }{8} \;\;\;\; w_2= \frac{-100-132}{8}

w_1 = 4 \;\;\;\; and \;\;\; w_2= -29

Hence the width of the walkaway be 4 feet.

Learn more about discriminant formula here:

brainly.com/question/2615966

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