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2 years ago

Write a formula for g(x) in terms of x.

Mathematics

1 answer:

liberstina [14]2 years ago

3 0

The formula of g(x) is g(x) = -0.8x - 1.6

<h3>How to determine the formula of g(x)?</h3>

The equation is given as:

-4x - 6 = 5y + 2

Subtract 2 from both sides

5y = -4x - 8

Divide through by 5

y = -0.8x - 1.6

Express as a function

g(x) = -0.8x - 1.6

Hence, the formula of g(x) is g(x) = -0.8x - 1.6

Read more about linear functions at:

brainly.com/question/4025726

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Find the domain of the parent function below.

Dahasolnce [82]

ALMIGHTY KEK, also I don't see a function

3 0

3 years ago

1. Find an equation of the line in point-slope form passing through point (-2,5) and parallel to the

lesantik [10]

Answer:

$\boxed {\boxed {\sf y-5= 2(x+2)}}$

Step-by-step explanation:

We are asked to find the equation of a line in point-slope form.

As the name of the form describes, we need both a point and the slope. We are given a point, but we have to find the slope.

<h3>1. Slope </h3>

The line is parallel to the line with the equation of 4x-2y= -5. Parallel lines have the same slope, so once we find the slope of the line with the given equation, we have the slope of the other line whose equation we are finding.

$4x-2y= -5$

We can find the slope by putting the equation into slope-intercept form, or y=mx+b (where m is the slope and b is the y-intercept). We must isolate the variable y. 4x is being added to -2y. The inverse of addition is subtraction, so subtract 4x from both sides.

$4x-4x-2y= -5-4x$

$-2y= -5-4x$

y is being multiplied by -2. The inverse of multiplication is division, so divide both sides by -2.

$-2y/-2=(-5-4x)/-2\\ y= \frac{-5}{-2} + \frac{-4x}{-2} \\ y= \frac{5}{2}+2x$

The coefficient of x is the slope, so the slope of the line is 2. Any line that is parallel also has a slope of 2.

<h3>2. Point- Slope Equation</h3>

Now we have a point and a slope, so we can use the point-slope formula:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is the point.

We know the slope is 2 and the point is (-2,5).

m=2
x₁ = -2
y₁= 5

$y-5=2(x- -2 ) \\\bold {y-5= 2(x+2)}$

The equation of the line in point-slope form is <u>y-5= 2(x+2)</u>

4 0

3 years ago

Alexandra and Austin applied to the same university. They looked up the average SAT score of students admitted to that universit

Deffense [45]

Answer:

x= (y+40)-(y-330)

Step-by-step explanation:

According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.

Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:

x= difference in their scores

y= average score

x= (y+40)-(y-330)

7 0

3 years ago

Gary has a brother and a sister in college. He traveled 1.6 × 10 to the 2nd power miles to visit his

Archy [21]

Answer:

20 times as much.

Step-by-step explanation:

1.6 x 10^2 = 160

3.2 x 10^3 = 3200

3200 ÷ 160 = 20

3 0

3 years ago

If f(x) = 5x + 40, what is f(x) when x = -5?<br> 0 -9<br> O-8<br> 07<br> 0 15

gogolik [260]

Good morning ☕️

______

Answer:

___________________

Step-by-step explanation:

f(x) = 5x + 40

then

f(-5) = 5(-5) + 40

= -25 + 40

= 40-25

= 15.

3 0

3 years ago