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3 years ago

Match the correct y=mx+b equation to the graph: pls show work/explanation!

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer:

y=x+1

Step-by-step explanation:

m is the slope, and the slope is 1. b is the y-intercept, which is 1.

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A store sells a package of 25 trading hearts for $5.25 use pencil and paper explain how you can tell that the unit price per car

creativ13 [48]

Answer:

Unitary cost per card= $0.21

Step-by-step explanation:

Giving the following information:

Number of cards per packecge= 25

Total cost per package= $5.25

To calculate the unitary cost of each card, we need to use the following formula:

Unitary cost per card= total cost / number of cards per package

Unitary cost per card= 5.25 / 25

Unitary cost per card= $0.21

3 0

3 years ago

I need help with this questionsomeone I am tired

mezya [45]

Answer:

The answer would be 22. Please mark me brainliest:D

5 0

3 years ago

Pleeeeese help me as fast as you can!!!

Aleonysh [2.5K]

Answer:

A. $y=3x-10$

C. $y+6=3(x-15)$

Step-by-step explanation:

Given:

The given line is $6x+18y=5$

Express this in slope-intercept form $y=mx+b$ , where m is the slope and b is the y-intercept.

$6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}$

Therefore, the slope of the line is $m=-\frac{1}{3}$ .

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

$y=3x-10$

On comparing with the slope-intercept form, we get slope as $m_{A}=3$ .

Now, $m\times m_{A}=-\frac{1}{3}\times 3=-1$ . So, option A is perpendicular to the given line.

Option B:

For lines of the form $x=a$ , where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as $m_{C}=3$ .

Now, $m\times m_{C}=-\frac{1}{3}\times 3=-1$ . So, option C is perpendicular to the given line.

Option D:

$3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}$

On comparing with the slope-intercept form, we get slope as $m_{D}=-\frac{1}{3}$ .

Now, $m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}$ . So, option D is not perpendicular to the given line.

8 0

3 years ago

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they

FinnZ [79.3K]

Answer:

The rate per hour of the 1st mechanic is US$ 115, and the rate of the 2nd mechanic is US$ 120.

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly.

Time of the 1st mechanic working on the car = 20 hours

Time of the 2nd mechanic working on the car = 5 hours

Total rate of the work done by the two mechanics = US$ 2,900

2. What was the rate charged per hour by each mechanic if the sum of the two rates was 235 per hour?

Rate per hour of the 1st mechanic = x

Rate per hour of the 1st mechanic = 235 - x

For solving the value of x, we will use the following equation:

x * 20 + 5 * (235 - x) = 2,900

20x + 1,175 - 5x = 2,900

15x = 2,900 - 1,175 (Like terms)

15x = 1,725

x = 115 (Dividing by 15 at both sides)

The rate per hour of the 1st mechanic is US$ 115, therefore the rate of the 2nd mechanic is US$ 120 (235 - 115).

Total charged by the 2 mechanics = 115 * 20 + 120 * 5

Total charged by the 2 mechanics = 2,300 + 600

Total charged by the 2 mechanics = 2,900

5 0

3 years ago

Help me plz! I need the answer...

den301095 [7]

Answer: I know 3.6 + 4.0 = 7.2

Step-by-step explanation:

3 0

3 years ago