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BARSIC [14]
3 years ago
13

The sum of two consecutive even integers is 106. what are the integers

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0
Let the consecutive even integers be x and (x+2).

x + (x + 2) = 106

2x + 2 = 106

2x = 104

x = 52

Thus the two integers are 52 and 54.




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Rudi bought 12.5 yards of fabric to make pillows. Each pillow requires 1.75 yards of fabric. Use compatible numbers to estimate
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7 0
4 years ago
The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E
nexus9112 [7]

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E'(t) = 12000(t + 9)^{\frac{-3}{2}}

Integrate the above function.

E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt

E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c

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c=10,000

Therefore, E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

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8 0
3 years ago
Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7
Gre4nikov [31]
<h2>The product of the rational expressions\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}.</h2>

Step-by-step explanation:

We have,

\dfrac{7x}{x-4}.\dfrac{x}{x+7}

To find, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = ?

∴ \dfrac{7x}{x-4}.\dfrac{x}{x+7}

= \dfrac{7x.x}{(x-4)(x+7)}

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Thus, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}.

7 0
3 years ago
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