Evaluate the polynomial 6x - y for x = 3 and y =4

Mathematics

1 answer:

Mashcka [7]3 years ago

8 0

6 x 3 is 18. y is equal to 4. 18 minus 4 is 14. The answer is 14.

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dedylja [7]

I did where you subtract 4 from both sides then divide 2 from 4 and you get 0.5 as x for your answer but im not sure

6 0

2 years ago

8 5x=-2 whats the value of the variable?

wlad13 [49]

In order to get the value of x you have to set x by itself subtract from both sides because the only way to get rid of a positve its with a negative now you have 5x=6, now divide 5 from both sides because the only way to get rid of a multiplication is with a division, this will give you the final answer of x=6/5

Hope this helps

8 0

3 years ago

Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,

Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

$T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}$

now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!