Simplify. x+7/x^2+4x-21

1 answer:

7 0

To silpify the expression we proceed as follows:
(x+7)/(x^2+4x-21)
Factorizing the given the denominator:
x^2+4x-21
x^2-3x+7x-21
=x(x-3)+7(x-3)
=(x-3)(x+7)
thus plugging back in our expression we have:
(x+7)/[(x-3)(x+7)]
simplifying this we obtain:
1/(x+3)

Answer: 1/(x+3)

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Steve and Josephina run a total of 35 miles in a week. Steve ran five more miles than josephina. how many miles did josephina ru

prohojiy [21]

S + j = 35
s = j + 5

j + 5 + j = 35
2j + 5 = 35
2j = 35 - 5
2j = 30
j = 30/2
j = 15 <=== Josephine ran 15 miles

s = j + 5
s = 15 + 5
s = 20 ....and Steve ran 20 miles

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Step-by-step explanation:

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Step-by-step explanation:

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