The table shows ordered pairs of the function y=8-2x. What is the value of y when x = 8?

Mathematics

1 answer:

Korvikt [17]3 years ago

5 0

Answer:

y = -8

Step-by-step explanation:

y = 8 - 2x

x = 8

y = 8 - 2(8)

y = 8 - 16

y = -8

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco

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Step-by-step explanation:

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Therefore, the rate of change of the number of containers, N is:

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$dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2$