Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?

Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in

Ymorist [56]

<h2>Greetings!</h2>

Answer:

y = $\frac{-2}{3}$ x - 4

Step-by-step explanation:

Firstly, you must find the gradient. This is found using the following formula:

$\frac{y2 - y1}{x2 - x1}$

Make sure that the x2 and y2 values are in the same coordinate set:

Let's set (-8 , 2) as y1 and x1, y1 = 2 and x1 = -8

That means that (1 , -4) is y2 and x2, y2 = -4 and x2 = 1

Plug the values in:

$\frac{-4-2}{1 - - 8}$

Simplified:

$\frac{-6}{9}$

Or -2/3

So the gradient is $\frac{-2}{3}$

Now, using the following equation of a line formula:

y - y1 = m(x - x1)

Where m is the gradient and y1 and x1 are two coordinates, we can plug these values in:

y1 = 2

x1 = -8

m = -2/3

y - 2 = 2/3(x - - 8)

We need to get rid of the two third fraction so we multiply the whole equation by three to cancel it out:

y * 3 = 3y

-2 * 3 = -6

-2/3 * 3 = -2

3y - 6 = -2(x - - 8)

The negative and the subtract makes it a positive:

3y - 6 = -2(x + 8)

Now we can multiply the bracket out:

-2 * x = -2x

8 * -2 = -18

So:

3y - 6 = -2x - 18

The slope form is usually:

y = mx + c

So we need to move the -6 over to the other side making it a positive 6:

3y = -2x -18 + 6

3y = -2x -12

Divide all the equation by three to get 1y:

y = $\frac{-2}{3}$ x - 4

Which is the equation!

<h2>Hope this helps!</h2>

3 0

3 years ago

Read 2 more answers

Graph the exponential function. y = 5(2)^x 1.A 2.B 3.D 4.C 5.D

svetlana [45]

EXPONENTIAL FUNCTIONS. Graph each exponential function. Write the asymptote in the blank. 1. f(x) = 2(3'). ~. II -= 0. 2. f(x) = 2,,·5+ 2 ..... c) $750 invested at 6.25% compounded <w!y for 5years. / .D~\g~6·~. A-:. 750 l 1+ "Ole$'). -::-10;).5, (D. •. 7. Write the function and find the principal needed to obtain ...

4 0

4 years ago

36. in a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president, vice president, and treasu

viktelen [127]

Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.

The order in which the people are chosen is important, as there are different roles, hence the permutation formula is used.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:

$P_{20,3} = \frac{20!}{17!} = 6840$

More can be learned about the permutation formula at brainly.com/question/25925367

#SPJ1

3 0

3 years ago

Denyce purchased a pair of jeans for $26, a T-shirt for $12, and a pair of socks for $4. What is the total cost of the items?

alexandr1967 [171]

Answer:
D: $42

Step-by-step explanation:
The question asks us the TOTAL cost of all the items, so
1. 26+12= 38
2.38+4=42
Then add the sign $ in front of it, and your answer is $42

6 0

3 years ago

Read 2 more answers

A=4b-15 a and b have to add up to 90 so whats the answer?

Fiesta28 [93]

Step-by-step explanation:

a+b=90

a = 90-b

Therefore, 90-b = 4b - 15

90+15 = 4b + b

105 = 5b

b = 21

substitute b in and get, 4(21)-15 = 69

a=69 and b=21

6 0

3 years ago