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yKpoI14uk [10]
3 years ago
5

Explain please

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer:

n=150

Step-by-step explanation:

(-17+n/5)-13=0

-17= -17/1 = -17(5)/5

-17(5)+n/5 = n-85/5

(n-85)/5-13=0

13=13/1 =13(5)/5

(n-85)-(13(5))/5 =n-150/5

(n-150)/5=0

n-150=0

n=150

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Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair.
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Y = 2x - 3 . . . (1)
y = -2x + 5 . . . (2)
Equating (1) and (2),
2x - 3 = -2x + 5
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4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1

Solution = (2, 1)
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3 years ago
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3 years ago
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After the booster club sold 40 hotdogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80
Ainat [17]
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5 0
3 years ago
A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par
sasho [114]

The velocity of the particle is given by

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

Since a(t)=-4\sin2t and v(0)=7, we get

\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2

\implies v(t)=2\cos2t+5

Similarly, the position function is obtained via

x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du

We know v(t) and we're told that x(0)=0, so

\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t

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3 0
3 years ago
How many solutions does the system have?
alisha [4.7K]

Answer:

y = 3/2 , x = 3/2

Step-by-step explanation:

Solve the following system:

{x + y = 3 | (equation 1)

10 x = 15 | (equation 2)

Divide equation 2 by 5:

{y + x = 3 | (equation 1)

0 y+2 x = 3 | (equation 2)

Divide equation 2 by 2:

{y + x = 3 | (equation 1)

0 y+x = 3/2 | (equation 2)

Subtract equation 2 from equation 1:

{y+0 x = 3/2 | (equation 1)

0 y+x = 3/2 | (equation 2)

Collect results:

Answer: {y = 3/2 , x = 3/2

6 0
3 years ago
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