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3 years ago

WILL MARK BRAINLIEST!

Mathematics

1 answer:

Vinvika [58]3 years ago

5 0

<u>Using y = mx + b</u>

8y = 4x - 16 ⇒ y = $\frac{1}{2}x$ - 2

-x = -2y - 4 ⇒ 2y - x = - 4 ⇒ 2y = x - 4 ⇒ y = $\frac{1}{2}x$ - 2

Since the equations have the same slope ( $\frac{1}{2}x$ ) and y-intercepts (-2), then they are the same line. Thus, they intersect at every point so have infinite solutions.

Answer: A

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Factor the expression. K^2+kf-2f^2

evablogger [386]

Answer:

cant factor something that is not like terms its the same answer

Step-by-step explanation:

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3 years ago

if i I wanted to be precise, how can I express the exact circumference for the circumference given the diameter

sveticcg [70]

The formula for circumference is $\pi d$ .

To express the circumference exactly, plug the diameter in for $d$ and put the $\pi$ symbol in front of it. Don't multiply. This expresses the exact circumference.

Say you have the diameter of 17.
You can express the circumference with 17 $\pi$ .

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3 years ago

If f (x)= x-3 and g (x)= 2x-4, find (f+g)(x)

const2013 [10]

(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).

In the above problem, f(x)=x+3.

Therefore, f(g(x))=g(x)+3.

⇒(f∘g)(x)=2x−7+3

⇒(f∘g)(x)=2x−4

Basically, write the g(x) equation where you see the x in the f(x) equation.

f∘g(x)=(g(x))+3 Replace g(x) with the equation

f∘g(x)=(2x−7)+3

f∘g(x)=2x−7+3 we just took away the parentheses

f∘g(x)=2x−4 Because the −7+3=4

This is it

g∘f(x) would be the other way around

g∘f(x)=2(x+3)−7

now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.

g∘f(x)=2x+6−7

Next, +6−7=−1

g∘f(x)=2x−1

Its a lts easier than you think!

Hope this helped

5 0

4 years ago

Please help middle school student

yulyashka [42]

Answer: d

Step-by-step explanation:

3 0

3 years ago

What is the equation of the line that passes through (4, -1) and (-2, 3)?

salantis [7]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 2, 3)

m = $\frac{3+1}{-2-4}$ = $\frac{4}{-6}$ = - $\frac{2}{3}$ , thus

y = - $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 3) , then

3 = $\frac{4}{3}$ + c ⇒ c = 3 - $\frac{4}{3}$ = $\frac{5}{3}$

y = - $\frac{2}{3}$ x + $\frac{5}{3}$ ← in slope- intercept form

Multiply through by 3 to clear the fractions

3y = - 2x + 5 ( add 2x to both sides )

2x + 3y = 5 ( subtract 5 from both sides )

2x + 3y - 5 = 0 ← in general form

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3 years ago