Determine the slope of the table.

The system of equations represented by the graph are

y = 2x + 3 and y = (-1/2)x - 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of one line on the graph.

y = mx + c

Select two coordinates from the line.

(0, 3) and (-3, -3)

m = (-3 - 3) / -3 = -6/-3 = 2

(0, 3) = (x, y)

3 = 0 + c

c = 3

The equation of the line is y = 2x + 3

The equation of the other line on the graph.

y = mx + c

Select two coordinates from the line.

(0, -3) and (2, -4)

m = (-4 + 3) / 2 = -1/2 = -1/2

(0, -3) = (x, y)

-3 = 0 + c

c = -3

The equation of the line is y = (-1/2)x - 3

Thus,

y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.

Learn more about equation of a line here:

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Answer:

320.25 centimeters

Step-by-step explanation:

you multiply 10.5 * 30.5

Answer:

(2x^2 + x-7)/3x+ 3

Step-by-step explanation:

Here, we want to write the following as a single fraction;

2x-1/3 - 2/x + 1

That will be;

(2x-1)(x + 1) -2(3)/3(x+ 1)

= 2x^2+ 2x-x-1-6/3(x + 1)

= (2x^2+x-7)/3(x+1)

= (2x^2 + x-7)/3x+ 3

Answer:

5cm

Step-by-step explanation:

(3+7)divided by 4 = 2.5

2.5 x 2 = 5

Answer:

Cost of Hats = $15

Cost of Scarves = $8

Step-by-step explanation:

Let

Cost of Hats = x

Cost of Scarves = y

5x + 3y = 99 (1)

3x + 5y = 85 (2)

Multiply (1) by 5 and (2) by 3

25x + 15y = 495

9x + 15y = 255

Subtract

25x - 9x = 495 - 255

16x = 240

Divide both sides by 16

x = 240 / 16

= 15

x = $15

Substitute x = 15 into

5x + 3y = 99

5(15) + 3y = 99

75 + 3y = 99

3y = 99 - 75

3y = 24

y = 24/3

= 8

y = 8

Cost of Hats = $15

Cost of Scarves = $8

Answer:

Its an increase

1 ft difference

increasing i believe

Given :

A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall.

By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec.

To Find :

How fast is the top of the ladder sliding down the wall.

Solution :

By, Pythagoras theorem, distance of ladder from horizontal to wall is 5 feet.

Now, [tex]x^2 + y^2 = 13^2[/tex]

Differentiating both sides, we get :

[tex]2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}=0\\\\(2\times 12\times 5) + (2\times 5 \times \dfrac{dy}{dt})=0\\\\\dfrac{dy}{dt}= -12 \ feet/sec[/tex]

Answer:

No

Step-by-step explanation:

It's not proportional because the unit rate for each hour isn't the same.

Answer:

i think its $1.07 per pound.

Step-by-step explanation:

Answer:A=15

x intercept= 6

Step-by-step explanation:

Answer:

The x-intercept of the function is 4 which represents the total number of cups of coffee purchased from the card.

Step-by-step explanation:

Since there was $0 left on the card after buying 4 cups of coffee, the x-intercept of 4 represents the number of cups of coffee that were purchased in total from the one gift card.

Have a good day :)

Answer:

u just have to divide

put the numbers in a calculator and the answer is 6.70238095238

Step-by-step explanation:

hope this helps

Answer:

you can't divide it

if u do then its

6.70238095238095238095.............................

6 r 59

Step-by-step explanation:

ok ok um so

multiples of 84:

84

168

252

336

420

504

588

we take 504

563-504 = 59

504/84 = 6

so 6 r 59

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-5 -15 = -20

-20+4 = -16

-16+15 = -1

Therefore, -5-15+4+15 = -1

Answer:

B) 1/3

Step-by-step explanation:

Add up all the marbles

5 + 6 + 3 + 4 = 18 marbles

Make a fraction of the red marbles out of all the marbles

6/18

Simplify the fraction

1/3

Answer:

b

Step-by-step explanation:

chances of drawing a red is 6/18

6/18=1/3, so its B

Answer:

It seems you forgot to add the picture.....

If you put it in the comments i will try to solve it...

Stay safe and have a Merry Christmas!!!!!!! :D

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

The Answer to your question is x<-7 Hope This could Help

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3x+6>15

Step 1: Subtract 6 from both sides.

−3x+6−6>15−6

−3x>9

Step 2: Divide both sides by -3.

−3x/−3>9/−3

pls mark as brainliest

Answer:

b i think

Step-by-step explanation:

Answer:

SSS or SAS

Step-by-step explanation:

Answer:

It has to be the third option.

Happy to help :)

Answer:

The washing machine cost $600 before tax

Step-by-step explanation:

Percentages

The washing machine cost $651 including a tax of 8.5%.

If x was the cost of the washing machine before tax, then the tax was:

x*8.5/100 = 0.085x

It was added to the original price:

x + 0.085x = 1.085x

That is the final price, thus

1.085x=$651

Solving:

x = $651/1.085

x = $600

The washing machine cost $600 before tax

Answer:

1/12 of the pan

Step-by-step explanation:

He has 1/3 of a pan of lasagna.

You are dividing it by 4 as he cut the 1/3 pan into 4 equal pieces, so you can do 1/3 divided by 4.

A simple trick to divide a fraction from a number is to change the division sign to multiplication and flipping over the second fraction.

So 1/3 / 4

would become

1/3 x 1/4

and so it is 1/12

1/12 is your answer

Hope this helps!

Answer:

4x and (1-y)

Step-by-step explanation:

4x(1-y)

this is my answer

The factors of the expression are 18x and 4-y

Given the expression 72x - 18xy

Find the factor of each term:

72x = 18 * 4 * x

18xy = 18 * x * y

Since 18x is common to both terms, hence the factored form is expressed as:

72x - 18xy = 18x (4 - y)

The factors of the expression are 18x and 4-y

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Answer:

the posibility for both of these answers are 5/10 or a 5 in ten chance that it would be a or n because in this there is 5 or these letters  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The point about the question is that the two sides are marked as equal.

Equation

3x + 5 = 5x + 1                  Subtract 3x from both sides

Solution

3x - 3x + 5 = 5x - 3x + 1   Combine like terms

5 = 2x + 1                          Subtract 1 from each side

5-1 = 2x +1 - 1                    Combine

4 = 2x                               Divide by 2

4/2 = 2x/2

x = 2    

Answer:

y = -1/2x + 13/2

Step-by-step explanation:

The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos

Answer:

14,000+2.1%(0.021)x

Step-by-step explanation:

x is how many years

2.076

2+19/250= 2.076