The equation y = mx + c is satisfied when
x=-1, y = 3, and also when x = 2, y=5
Find the values of m and c.​

Answer:

Swan85 is incorrect. Here is the correct answer.

The required graph of the line y = 2x -3 has been attached.

The equation of a line is typically written in slope-intercept form, which is:

y = mx + b

Where:

"y" represents the y-coordinate of a point on the line.

"x" represents the x-coordinate of the same point on the line.

"m" represents the slope of the line.

"b" represents the y-intercept of the line (where the line crosses the y-axis).

In this form, "m" and "b" are constants that determine the position and orientation of the line.

Here,

The line passes through the y-axis at -3 (when x = 0) and has a slope of 2, which means it rises 2 units for every 1 unit it runs. As x increases by 1, y increases by 2.

Based on this graph, the graph of the line y = 2x -3 has been attached.

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Answer:

So there are infinite solutions along the line y = 2x-1

Step-by-step explanation:

10x=5y+5

y=2x-1

Substitute y into the first equation

10x = 5(2x-1) +5

10x = 10x-5+5

10x = 10x

This is always true

So there are infinite solutions along the line y = 2x-1

Answer:

three times a number minus two

Step-by-step explanation:

x= times a number

Answer:

(x - 1) (x + 2)

Step-by-step explanation:

Use the AC method

Answer:

10 = 5x

5/10

x =1/2

unit rate is equal to 0.50

Step-by-step explanation:

Answer:

the answer is 100$ on endgunuity

Step-by-step explanation:

The cost for 5 of the gift cards is $100. Therefore, option C is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80).

Now, we will find m and c using the points (1,20) and (2,40)

Let x be the number of gifts cards and y is total cost (in $).

The slope, m = (40-20)/(2-1)

m = 20

Equation of straight line is given as,

y = mx + c

Put the value of m,

So, y = 20x + c

Substitute with the point (1,20) in y=20x+c, we get

20 = 20×1 + c

20 = 20 + c

c = 0

The equation of the line, y = 20x

To find the cost for 5 of the gift cards substitute with x = 5

y = 20×5 = 100

So, the cost for 5 of the gift cards = $100

Therefore, option C is the correct answer.

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Answer:

I can't understand your language

[tex] - 85 \div 20 = - 4 \frac{1}{4} = - 4.25[/tex]

[tex]100 \div 60 = \frac{5}{3} = 1 \frac{2}{3} [/tex]

Answer:

shortest side = 3 in

Step-by-step explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is

x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )

x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

Thus

x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

The shortest side is x - 5 = 3 in

Answer:

Ok, we know that the price, per pond of grapes, is $1.99.

Now the function that models the cost of grapes is:

C(x) = $1.99*x

Where x is the number of pounds that you buy.

Here we can assume two things:

1) The grapes are already in bags, so x can be only whole numbers, as x can take only whole numbers, the cost c(x) will be discrete because there are a lot of possible costs that are not accessible.

Then the domain is:

D: {0, 1, 2, 3, 4.....}

And the range is :

R: {0*$1.99. 1*$1.99, 2*$1.99, ...}

2)You can choose any amount of grapes that you want, and then the grapes are weighted when yo pay.  (This has not really sense, but it is fun to analyze the problem in different ways)

Here the weight can take almost any value, because with individual grapes you can have almost any number of pounds.

But the unit that defines the total weight is the weight of a single grape.

Then if you have N grapes (and all of them weight almost the same, let's say M)

The total weight will e N*M

If you add one more grape, the weight is: (N + 1)*M

Then it is still discrete!

As we do not know the mean weight of a grape, we can not find the domain  nor the range in this situation, so the one above is the one that we should consider the correct one.

Answer:

y=5x+20

Step-by-step explanation:

It grows by 5 each week with would be the m, the b value would be the amount already saved which is 20.

Answer:

y=5x+20

Step-by-step explanation:

Answer:

1-x=y cubed

Step-by-step explanation:

difference between 1 and a number is 1-x and the answer to this you cube.

Answer:1

Step-by-step explanation:

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]\sqrt{5-x}=4[/tex]

Square both sides:

[tex](\sqrt{5-x})^2=4^2[/tex]

[tex]5-x=16[/tex]

Subtract 5 from both sides:

[tex]5-x-5=16-5[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

Answer:

152.25

Step-by-s152.25tep explanation:

Answer:

Dominique has $162.25 dollars left after shopping.

Step-by-step explanation:

250 - 17.50 - 32.75 - 12.50 x 3

250 - 17.50 - 32.75 - 37.5

232.5 - 32.75 - 37.5

199.75 - 37.5

162.25

Answer: at 11:54

Step-by-step explanation:

Let's define the 10:30 as our t = 0 min.

We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.

To find the least common multiple of two numbers, we must do:

LCM(a,b) = a*b/GCD(a,b)

Where GCD(a, b) is the greatest common divisor of a and b.

In this case the only common divisior of 12 and 14 is 2.

So we have:

LCM(12, 14) = 12*14/2 = 84.

Then the both trains will stop 84 minutes after 10:30

one hour has 60 mins, so we can write 84 minutes as:

1 hour and 24 minutes = 1:24

Then they will stop at the same time at 10:30 + 1:24 = 11:54

Answer:

I'll answer it

Step-by-step explanation:

do you need it now

Answer:

B Hope this helps

Step-by-step explanation:

Answer:

The slope is 0

Line is y= -4

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Seven times four is equal to twenty eight

Answer:

1/3 is a rational number

Step-by-step explanation:

Answer: a plane

Step-by-step explanation: A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points that are not on the same line. Two dimensions with length (infinite) and width (infinite).

Answer:

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Step-by-step explanation:

R/5 = 4/7

Cross-multiply (numerator * opposite denominator = numerator * opposite denominator)

R(7) = 5(4)

Multiply

7R = 20

Divide both sides of the equation by 7

R = 20/7

Simplify

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Hope this helps :)

Answer:

0.001665973

Step-by-step explanation:

Answer:

Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

Answer:

k = -4

Step-by-step explanation:

-4k + 2(5k − 6) = −3k – 48

Distribute on the left side.

-4k + 10k - 12 = -3k - 48

Combine like terms on the left side.

6k - 12 = -3k - 48

Add 3k to both sides.

9k - 12 = -48

Add 12 to both sides.

9k = -36

Divide both sides by 9.

k = -4