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3 years ago

Solve the system

1 answer:

7 0

Use substitution.

y = 2 - x and y = 4x + 7 can become

2 - x = 4x + 7

Now solve for x

-5 = 5x

-1 = x

Now plug -1 for x in either equation.

y = 2 - x -> y = 2 - (-1) -> y = 3
y = 4x + 7 -> y = 4*-1 + 7 -> y = -4 + 7 -> y = 3

So C) is the correct answer.

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3 years ago

Read 2 more answers

What is the equation of the parabola, in vertex form, with focus at (1,-4) and directrix x= 3?

lilavasa [31]

Answer:

Step-by-step explanation:

1) according to the definition of parabola d(focus)=f(directrix),

2) then

$d(focus)=\sqrt{(x-1)^2+(y+4)^2} \ and \ d(directrix)=|x-3|;$

$\sqrt{(x-1)^2+(y+4)^2} =|x-3|;$

3) after evoluation the equation:

(y+4)²=-4x+8 or (y+4)²= -4(x-2);

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3 years ago

Complete the table of inputs and outputs for the given function. g(x)=-4x-1

Radda [10]

Answer:

(x, y) = (-2, 7), (0, -1), (3, -13), (-1, 3)

Step-by-step explanation:

To fill in the y-values, you need to put the x-value in the equation and evaluate.

for x=0

y = -4(0) -1 = -1

for x=-1

y = -4(-1) -1 = 4 -1 = 3

To fill in the x-values, we can solve for x and then do as we did above.

y = -4x -1

y +1 = -4x . . . . add 1

-(y +1)/4 = x . . . divide by -4

for y=7

x = -(7 +1)/4 = -2

for y=-13

x = -(-13+1)/4 = -(-12/4) = 3

Then the table is ...

$\boxed{\begin{array}{cc}x&g(x)\\-2&7\\0&-1\\3&-13\\-1&3\end{array}}$

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2 years ago

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aleksandrvk [35]

Step-by-step explanation:

it's a v-t graph.

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3 years ago

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weeeeeb [17]

Answer:

(-8,8)

Step-by-step explanation:

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3 years ago