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2 years ago

Solve for y. 8(y – 2) = 4y

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

7 0

Answer:

y =4

Step-by-step explanation:

8(y – 2) = 4y

Distribute

8y -16 =4y

Subtract 8y from each side

8y-8y -16 = 4y -8y

-16 = -4y

Divide each side by -4

-16/-4 = -4y/-4

4 = y

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Help with #10 plz...

andrezito [222]

A. is 21.98 cm
b. is 22 cm

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2 years ago

Solve the differential equation. question is pictured with answer choices

Nimfa-mama [501]

Integrate both sides with respect to t :

∫ dy/dt dt = ∫ -12t ² dt

y(t) = -4t ³ + C

Use the initial condition to solve for C :

5 = -4•0³+ C

C = 5

y(t) = -4t ³ + 5

and the answer is D.

Alternatively, you can directly apply the fundamental theorem of calculus:

$\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du$

$\implies y(t)=5-4u^3\bigg|_0^t$

$\implies y(t)=5-4t^3$

4 0

2 years ago

Solve each equation and leave the answer in terms of “i”

almond37 [142]

17)
x² + 8 = -8
x² = -8 - 8
x² = 16
x = ±√-16
x = ±√16i
x = ±4i

18)
x² + 5 = -3
x² = -3 - 5
x² = -8
x = ±√-8
x = ±√8i
x = ±2√2i

19)
x² + 3 = 0
x² = -3
x = ±√-3
x = ±√3i

hope this helps, God bless!

3 0

2 years ago

Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than j

MA_775_DIABLO [31]

Answer:

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

Step-by-step explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

$x+y+z=37$ -----> equation A

$x=y+4$ -----> $y=x-4$ ------> equation B

$z=x+2$ ------> equation C

Substitute equation C and equation B in equation A and solve for x

$x+(x-4)+(x+2)=37$

$3x=37+2$

$3x=39$

$x=13\ mi$

Find the value of y

$y=13-4=9\ mi$

Find the value of z

$z=13+2=15\ mi$

therefore

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

3 0

2 years ago

Find the quotient: 18,198 / 27 518 608 674 689

gregori [183]

18,198 / 27 = 674 <==

5 0

2 years ago