2 years ago

Apply the distributive property to create an equivalent expression.

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

8 0

Add the liked terms & un lined terms &.7.:!/‘skass then solve

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If f(x) = 4x + k and f (2) = f (1), then calculate the value<br>of K.

andrezito [222]

Answer:

-7

Step-by-step explanation:

given f(x)=4x+k

therfore, f(2)=4*2+k

we know that f(2) =1

so, 4*2+k=1

8+k=1

k=1-8

k=-7

8 0

3 years ago

The predicted cost c (in hundreds of thousands of dollars) for a company to remove p% of a chemical from its waste water is show

alukav5142 [94]

We presume your cost function is
c(p) = 124p/((10 +p)(100 -p))

This can be rewritten as
c(p) = (124/11)*(10/(100 -p) -1/(10 +p))

The average value of this function over the interval [50, 55] is given by the integral
$\frac{1}{55-50} \times \frac{-124}{11} \int\limits^{55}_{50} {(\frac{1}{x+10}+\frac{10}{x-100})} \, dx$
This evaluates to
(-124/55)*(ln(65/60)+10ln(45/50)) ≈ 2.19494

The average cost of removal of 50-55% of pollutants is about
$2.19 hundred thousand = $219,000