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3 years ago

If c(x)=4x-2 and d (x)=x^2+5x, what Is (c•d) (x)?

Mathematics

2 answers:

DIA [1.3K]3 years ago

4 0

So, c(x) = 4x - 2, d(x) = x^2 + 5x.
c(x)*d(x) = (4x - 2)(x^2 + 5x)
= (4x^3 + 20x^2 - 2x^2 - 10x)
= (4x^3 + 18x^2 - 10x)

Ivenika [448]3 years ago

3 0

Answer:(4x^3 + 18x^2 - 10x)

Step-by-step explanation:

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Step-by-step explanation:

Parallel lines never cross but non parallel lines cross.

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How many times greater is 1 1/2 then 1/4

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3 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

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3 years ago