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2 years ago

What is the equation of the following line??

Mathematics

1 answer:

wolverine [178]2 years ago

5 0

Answer:

C) y = 6x is the answer.

Step-by-step explanation:

(-1/2,-3) and (0,0)

slope(m) = ( 0 + 3)/(0 + 1/2)= 3/1/2 = 6

Now,

y = mx + b

or, y = 6x + 0

so, y = 6x

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Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720

Juliette [100K]

Answer: $1200
Explanation:
The amount of telephone bill Craig has to pay each month: $720/12= $60
His earnings each month: $60 x 20 = $1200

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3 years ago

In 1956, Dwight Eisenhower became President with 58% of the vote.

denis23 [38]

Answer:

29/50

Step-by-step explanation:

8 0

3 years ago

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Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0

Leokris [45]

Substitute $v(x)=-2x+y(x)$ , so that $\dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}$ . Then the ODE is equivalent to

$\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7$

which is separable as

$\dfrac{\mathrm dv}{v^2-9}=\mathrm dx$

Split the left side into partial fractions,

$\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)$

so that integrating both sides is trivial and we get

$\dfrac{\ln|v-3|-\ln|v+3|}6=x+C$

$\ln\left|\dfrac{v-3}{v+3}\right|=6x+C$

$\dfrac{v-3}{v+3}=Ce^{6x}$

$\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}$

$\dfrac6{v+3}=1-Ce^{6x}$

$v=\dfrac6{1-Ce^{6x}}-3$

$-2x+y=\dfrac6{1-Ce^{6x}}-3$

$y=2x+\dfrac6{1-Ce^{6x}}-3$

Given the initial condition $y(0)=0$ , we find

$0=\dfrac6{1-C}-3\implies C=-1$

so that the ODE has the particular solution,

$\boxed{y=2x+\dfrac6{1+e^{6x}}-3}$

5 0

3 years ago

Find the domain of (f/g)(x) when f(x)=1/x and g(x)=square root x+8

Alex_Xolod [135]

Step-by-step explanation:

all work is pictured/shown

6 0

3 years ago

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Simplify your answer

Lelechka [254]

Answer:

Step-by-step explanation:

If 2u-6=4, let's solve for u.

Add 6 to both sides

2u-6+6 = 4+6

Simplify

2u = 10

Divide both sides by 2

u = 5

Now, we can solve u-5

5-5 = 0

8 0

2 years ago

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