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3 years ago

Write the following equation in slope-intercept form. 3x - 2y=5

Mathematics

1 answer:

prisoha [69]3 years ago

3 0

Answer:

y = 3/2x -5/2

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

3x- 2y = 5

Solve for y

Subtract 3x from each side

3x -3x- 2y =-3x+ 5

-2y = -3x+5

Divide by -2

-2y/-2 = -3x/-2 +5/-2

y = 3/2x -5/2

You might be interested in

1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and

Korvikt [17]

Answer:

A. [0, 65]

Step-by-step explanation:

Given that

Distance that Marcus drives every day = 32 miles.

The table having average speed as input and time taken as output is shown below in the table format:

$\begin{center}\begin{tabular}{ c c}Speed(mph) & Time(minutes) \\ 60 & 32 \\ 45 & 43 \\ 55 & 35 \\ 50 & 38 \\ 62 & 31 \\\end{tabular}\end{center}$

To find:

The domain that includes all possible average speeds using interval notation = ?

Solution:

First of all, let us understand what is a domain of a function.

Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.

If a function is written as:

$y=f(x)$ then values of $x$ are the input given to the function.

In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.

That means domain has a maximum value of 65.

Let us learn something about interval notation.

( or ) means the value is not inclusive.

[ or ] means the value is inclusive.

Here 65 will be inclusive.

On the left side of comma, lower value is written and on the right side of comma, larger value is written.

So, domain for the current situation will be:

[0, 65]

0 is taken as the minimum value of domain here, because average speed value can not be negative.

This interval will contain all the possible values of input (average speed) as shown in the above table of values.

8 0

4 years ago

A survey revealed that 10% of workers at a company were not satisfied with their job. If 88 workers selected this option, then h

prohojiy [21]

Answer:

There are 880 workers at the company.

Step-by-step explanation:

With the information provided, you can find the total amount of workers at the company which would represent 100% using a rule of three given that 88 workers represent 10% of workers:

88 workers → 10%

x ← 100%

x=(88*100)/10= 880

According to this, the answer is that there are 880 workers at the company.

5 0

3 years ago

2 angles measure 40 degrees each, what does the third angle measure? what type of triangle is it?

zimovet [89]

Answer:

Part a): 100 degrees

Part b): Isosceles Triangle

Step-by-step explanation:

Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.

180 - 80 = 100

Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.

3 0

3 years ago

Turn 2 2/5 into a percent

Naddika [18.5K]

2/5 = 0.4
2.4 x 100 = 240%

6 0

3 years ago

3. The minimum payment on a credit card is based on the total amount owed. A credit card company uses

shutvik [7]

Answer:

The answer is below

Step-by-step explanation:

The minimum payment on a credit card is based on the total amount owed. A credit card company uses the following rules: For a bill less than $20 the entire amount is due, for a bill of at least $20 but less than $500, the minimum due is $20. For a bill of at least $500 but less than $1000 the minimum due is $40 and for a bill of at least $1000 but less than $1500 the minimum due is $80 dollars. For a bill of $1500 or more the minimum due is 1/10th of the bill.

a. Write a function to describe the minimum payment due.

b. What is the minimum payment due if the bill is $345?

c. What is the minimum payment due if the bill is $1410?

d. What is the minimum payment due if the bill is $1700?

Solution:

Let B represent the minimum due payment for a bill in dollars and let x represent the bill in dollars. Therefore:

For x < 20, B = x

For 20 ≤ x < 500, B = 20

For 500 ≤ x < 1000, B = 40

For 1000 ≤ x < 1500, B = 80

For x ≥ 1500, B = (1/10)x

$B(x)=\left \{ {{x\ \ \ x$

b) For 20 ≤ x < 500, B = 20

Therefore if the bill is $345 (x = 345), the minimum payment due would be $20

c) For 1000 ≤ x < 1500, B = 80

Therefore if the bill is $1410 (x = 1410), the minimum payment due would be $80

d) For x ≥ 1500, B = (1/10)x

Therefore if the bill is $1700 (x = 1700), the minimum payment due would be $170 (1/10 * 1700)

7 0

3 years ago