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1 year ago

Please help 6x + 32 = -2x

Mathematics

1 answer:

netineya [11]1 year ago

5 0

Answer: the answer is x=-4.

Step-by-step explanation:

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Expand 5a(3a-2b). Thank you!

Thepotemich [5.8K]

Answer:

15 a^2 + -10 a b

Step-by-step explanation:

Expand the following:

5 a (-2 b + 3 a)

Hint: | Distribute 5 a over -2 b + 3 a.

5 a (-2 b + 3 a) = 5 a (-2 b) + 5 a (3 a):

-2 5 a b + 5 3 a a

Hint: | Combine products of like terms.

5 a×3 a = 5 a^2×3:

5×3 a^2 - 2×5 a b

Hint: | Multiply 5 and 3 together.

5×3 = 15:

15 a^2 - 2×5 a b

Hint: | Multiply 5 and -2 together.

5 (-2) = -10:

Answer: 15 a^2 + -10 a b

6 0

4 years ago

Read 2 more answers

AP3X Please urgent..

sergey [27]

The Answer Is D. Hope This Was Helpful!

5 0

3 years ago

Read 2 more answers

Got a calc 1 question,

belka [17]

$v=\dfrac h{3x}\implies\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\frac{\mathrm dh}{\mathrm dt}-3h\frac{\mathrm dx}{\mathrm dt}}{3x^2}$

By the chain rule,

$\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{\mathrm dh}{\mathrm dx}\dfrac{\mathrm dx}{\mathrm dt}$

We have

$h(x)=4e^{2x-6}-x^2+5\implies\dfrac{\mathrm dh}{\mathrm dx}=8e^{2x-6}-2x$

and we're given that $x$ changes at a constant rate of $\frac{\mathrm dx}{\mathrm dt}=0.2$ thousand people per minute, which means

$\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\left(8e^{2x-6}-2x\right)\left(0.2\frac{\text{thousand people}}{\rm min}\right)-3h\left(0.2\frac{\text{thousand people}}{\rm min}\right)}{3x^2}$

At the moment $x=4$ thousand people are in the park, we have $h(4)=4e^2-11$ , so we find

$\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{12\left(8e^2-8\right)-3(4e^2-11)}{240}\dfrac{\text{thousand people}}{\rm min}=\dfrac{7(4e^2-3)}{80}\dfrac{\text{thousand people}}{\rm min}$