4 years ago

WILL GIVE BRAINEST

Mathematics

1 answer:

Bezzdna [24]4 years ago

8 0

D. exponential growth

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Find the value of c that makes each trinomial a perfect square<br> x^2-19x+c<br> Please Help! :)

tensa zangetsu [6.8K]

The value of c is $\frac{361}{4}$

Explanation:

Given that the trinomial is $x^2-19x+c$

We need to determine the value of c such that the trinomial is a perfect square.

The value of c can be determined using the formula,

$c=(\frac{b}{2})^2$

From the trinomial, the value of b is given by

$b=-19$

Substituting the value of b in the above formula, we have,

$c=(\frac{-19}{2} )^2$

Squaring both the numerator and denominator, we have,

$c=\frac{361}{4}$

Thus, the value of c is $\frac{361}{4}$ which makes the trinomial a perfect square.

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A tuxedo rental shop rents tuxedos with sleeve lengths from 20 inches to 40 inches. The shop says the length of the sleeves shou

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Let the person's arm length be = x

Condition is : sleeve lengths available from 20 inches to 40 inches and the length of the sleeves should be about 1.2 times a person's arm length.

So, the inequality equation becomes:

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This gives x= $\frac{20}{1.2}=16.66$ or $16\frac{2}{3}$

or x= $\frac{40}{1.2}$ =33.33 or $33\frac{1}{3}$

Hence, the shop does not provide tuxedos to people with arm length less than 16.66 inches and greater than 33.33 inches.

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