3 years ago

Solve the inequality.−8≤2/5(k−2) The / is not a division sign.

Mathematics

1 answer:

Dvinal [7]3 years ago

7 0

Answer: x is grater or equal to -18

Inter el notation

[-18,oo)

Step-by-step explanation:

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300 copies must be sold to break even

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3 years ago

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2 years ago

Vhich expression is equivalent to 6(3x + 4)?

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3 years ago

The absolute value of 5 is -5 because -5 is the opposite of five. What is the error?

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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

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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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2 years ago