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3 years ago

15

Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given poin

t. y = 3x - 7; (0, 4)

1 answer:

Mamont248 [21]3 years ago

8 0

Y=3x+4 is the equation you are looking for!

You might be interested in

Find the average rate of change of f(x) = 3(2)* between x = 1 and x = 4<br>

astraxan [27]

<h3><u>Question:</u></h3>

Find the average rate of change of f(x) = 3(2)^x between x = 1 and x = 4

<h3><u>Answer:</u></h3>

The average rate of change is 14

<h3><u>Solution:</u></h3>

The rate of change is given by formula:

$\text { Average Rate }=\frac{f(b)-f(a)}{b-a}$

Here the given interval is x = 1 and x = 4

Therefore, the formula becomes,

$\text { Average Rate }=\frac{f(4)-f(1)}{4-1}\\\\\text { Average Rate }=\frac{f(4)-f(1)}{3}$

Let us find f(4) and f(1)

Given function is:

$f(x)=3(2)^x$

Substitute x = 4 in function

$f(4)=3(2)^4\\\\f(4) = 3 \times 16 = 48$

Thus f(4) = 48

Substitute x = 1 in function

$f(1) = 3(2)^1\\\\f(1) = 6$

Now substitute the values back into formula

$\text { Average Rate }=\frac{f(4)-f(1)}{3}\\\\\text { Average Rate }= \frac{48-6}{3}\\\\\text { Average Rate }= 14$

Thus average rate of change is 14

8 0

4 years ago

Simplify this expression: -6x + 8 - 3x - 2 + 5x Question 1 options: 24x + 0 14x + 10 4x - 6 -4x + 6

yanalaym [24]

Answer:

-4x + 6

Step-by-step explanation:

First, combine all of the x terms. When you combine these terms you get -4x. Then combine the constant terms, the terms without variables that is. This gets you 6. The equation can now be written as -4x + 6.

5 0

3 years ago

I forgot how to do this help please

ahrayia [7]

Answer:

w = -8/9

Step-by-step explanation:

3(3w-4) = -20

9w-12=-20

9w=-8

W=-8/9

4 0

4 years ago

Read 2 more answers

In a class of 28 students, 11 have a brother and 9 have a sister. There are 2 students

Westkost [7]

Answer:

$\displaystyle P(A\mid B)=\frac{2}{11}$

Step-by-step explanation:

<u>Conditional Probability</u>

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

$P(A\mid B)={\frac {P(A\cap B)}{P(B)}}$

Where $P(A\cap B)$ is the probability that both events occur and P(B) is the probability that B occurs.

Let's define events A and B for the question. There are 11 students that have a brother and 9 that have a sister. Two of those students have a brother and a sister.

We are given the fact that the selected student has a brother: this is the event that has already occurred, thus:

B = A student has a brother

A = A student has a sister

The probability that a student has a brother is:

$\displaystyle P(B)=\frac{11}{28}$

The probability that the student has a brother and a sister is:

$\displaystyle P(A\cap B)=\frac{2}{28}$

Thus, the conditional probability is:

$P(A\mid B)={\frac {\frac{2}{28}}{\frac{11}{28}}}$

Simplifying:

$\mathbf{\displaystyle P(A\mid B)=\frac{2}{11}}$

4 0

3 years ago

Factor this expression completely 9a 4 - b 2

notka56 [123]

<span> (3a2 + b) • (3a2 - b) would be ur answer x</span>

3 0

3 years ago

Read 2 more answers