Identify the slope and y-intercept of the
equation 2x + 5y = 20

Answers

Answer 1

Answer:

Slope = - ⅖

Y-intercept = (0, 4), where b = 4

Step-by-step explanation:

Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:

Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x -2x + 5y = - 2x + 20

5y = -2x + 20

Divide both sides by 5 to isolate y:

[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]

y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4.  The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).


Related Questions

PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER

Answers

Answer:

for line b - the slope is 0, not undefined. an undefined slope is a vertical line.

for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.

Yes it’s 1/3 and then tier 2 on the right.

How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre

Answers

Answer: 23.75

Step-by-step explanation:

I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?

Answers

Answer:

5

Step-by-step explanation:

Start with 9. Then do the opposite operation starting from the end.

9

√9 = 3

3 - 1 = 2

2 × 6 = 12

12 - 7 = 5

Answer: 5

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

pls help me out quick,

Answers

Answer:

Step-by-step explanation:

1. 2x + 3y = 1,470

–2x –2x

3y = –2x + 1,470

3y/ 3 = –2x/3 + 1,470/3

y = –2x/3 + 490

The y-intercept of this equation is 490 and the slope is -2x/3.

2. I would graph this line by finding the y-intercept 490 first.

Then, you would move down twice from 490 to 488.

Finally, you would move to the right 3 times.

3. F(x) = –2x/3 + 490

The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.

Hailey ordered 12 pizzas for a grade level party. If each person eats 3/8 of a pizza equally, how many people can Hailey feed with 12 pizzas?

Answers

Answer:

24

Step-by-step explanation:

find three rational numbers between -1/2 and 1/2​

Answers

Answer:

-1/4, 1/8 and 1/5.

Step-by-step explanation:

Dan earns £300 over the course of a five-day week. How much is that per day?

Answers

Answer:

£60 per day

Step-by-step explanation:

1 week = 5 days

Dan earned = £300

therefore 1 day = 300 ÷ 5 = £60 per day

300/5days
So 60 a day

solve pls brainliest

Answers

Answer:

mixed no. 51/10

Improper fraction 5/1/10

.Question.[Mathematics]

6! =

7! =

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex]6! = 720 \\ \\ 7! = 5040[/tex]

Step-by-step explanation:

[tex]6![/tex]

Usen! -n × ( n - 1 )×...× 2 x 1 to = calculate the factorial

[tex]6 \times 5 \times 4×3× 2×1[/tex]

calculate the product

[tex] = 720[/tex]

[tex]7! = [/tex]

Usen! - nx(n-1)×...*x2x1 to = calculate the factorial

[tex]7 \times 6 \times 5 \times 4×3×2×1[/tex]

calculate the product

[tex] = 5040[/tex]

hope it helps

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

720 and 5040

Step-by-step explanation:

Using the definition of n! ( n factorial )

n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

what is the distance of E(7.3) and F (-2,6)

Answers

An(5.4)

Step-by-step explanation:

help me on this please

Answers

Answer:

1: AOB is 180 degrees   2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15

Step-by-step explanation:

x = 15

Add up 5x - 15 + 90 + 2x = 180 degrees

FOG = 90 degrees (right angle)

Combine like terms to get 7x + 75 = 180

subtract 75 on both sides to get 7x = 105

Divide both sides by 7 to isolate x to get x = 15

Substitute 15 for every x you see so 5(15) - 15 and 2(15)

5(15) - 15 = 60

2(15) = 30

Hope this works!!! :)

Marie and Amy are cutting ribbons to attach to balloons for Amy's birthday party. Each guest's chair will have on balloon tied to it. each ribbon is 2/3 of a yard and they have 6 yards of ribbon in total. How many ribbons will they cut. A. 1/9 B.4 C.8 D. 9


PLS ANSWER QUICK FIRST RIGHT ANSWER WILL BEE MARKED AS BRAINLEIST

Answers

Answer:

D 9

Step-by-step explanation:

1 ribbon ---- 2/3 yards

x          ------  6 yards

6 * 1 = 2/3 * x

6 = 2/3 x

18/2 = x

x = 9

9 ribbons can be cut from 6 yards of ribbon

sales tax is 7% what is the amount of sales tax you would pay this bill​

Answers

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14

PLEASE HELP!

Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.

∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?

DE = ______ m∠E = ________

Answers

Answer:

DE = ____24__    m∠E = ____22____

Step-by-step explanation:

I hope this helps

how to slove and answer 11r+60=16

Answers

Answer:

r= -11

Step-by-step explanation:

11r + 60=16

we can see that 11x r + 60 = 16

but thats the problem ! we don't know what r is so

lets get r on its own

11r + 60 =16

subtract 60 from each side

60 -60 =0

left side = 11r

16-60 = -44

right side = -44

11 r = -11

divide both sides by 11

11r divided by 11 = r

-44 divided by 11 = -11

r=-11

I answered your question so plz mark as brainliest!xxxx

1. The diameter of each tire on a model car is 10.668 mm. The actual diameter of a car's tire is 5.29 X 102 mm. About how many times larger is the actual diameter of a car tire than the diameter of the tire on the model car? A 5 times B 50 times +90 100 times D 500 times​

Answers

The number of times the actual diameter is larger than the model is 50 times.

A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.

In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.

5.29 x 10² ÷ 10.668

529 ÷ 10.668

= 49.6

= 50 times

Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859

In a square of side length s, what is the length of a diagonal?

Answers

Answer:

[tex]s\sqrt{2}[/tex]

Step-by-step explanation:

This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.

i need geometry help...

Answers

sin(h) = 8/17
Hope this helps

Which statement is true regarding the functions in the graph?

F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)

Answers

the Answer is f(3) = g(3)

which number is closest to 0.02
A. 0.019
B. 0.04
C. 0.1
D. 0

Answers

Answer: 0.019

Step-by-step explanation: 0.019 is the only closest number to 0.020, others are much less than 0.020.

7.90×10^−2/1.0×10^−5

Answers

Answer:

[tex] \frac{7.90 \times {10}^{ - 2} }{1.0 \times {10}^{ - 5} } \\ = 7.9 \times {10}^{5 - 2} \\ = 7.9 \times {10}^{3} [/tex]

Find x in terms of the other letters a( x + b ) = c( x + d )

Answers

Answer:

[tex]x=\frac{cd-ab}{a-c}[/tex]

Step-by-step explanation:

The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.

First step is to distribute the a and c on either side,

ax+ab=cx+cd

Subtract cx from both sides,

ax+ab-cx=cd

Next, subtract ab from both sides,

ax-cx=cd-ab

Then, factor out x from the left side,

x(a-c)=cd-ab

Finally, divide both sides by a-c,

[tex]x=\frac{cd-ab}{a-c}[/tex]

find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1

Answers

None, it is a binomial because it has 2 terms. The degree is 1.

Hope this helps friend~ ^^

Which of the following is 3.761 written in expanded notation?

A) (3 x 1) + (7 x 110) + (6 x 1100) + (1 x 11000)
B) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)
C) (3 x 1) + (7 x 110) + (1 x 1100) + (6 x 11000)
D) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)


WORTH 40 POINTS

Answers

Answer:

To write a number in expanded form, divide it into digits and display the value of each one. As a result, 144 would be 100 + 40 + 4 = 144.

Step-by-step explanation:

You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?


A. 5x + 25 = y B. 25 – y = 5x
C. 25x + 5 = y D. 25 – 5x = y

Answers

25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.

All of the other options are incorrect.

I hope this helps! :)

How to find missing angle of a right triangle given 2 sides

Answers

Answer:

As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.

If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.

2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me

Answers

☆Answer :

2b - 37 = 152 - 5

2b - 37 = 147

2b = 147 + 37

2b = 184

b = 92

The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.

Answers

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square =

s = side length of the square

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

Learn more : https://brainly.com/question/25562438

Solve the equation
9 + 13 = 31

Answers

False

9 + 13 = 31

22 ≠ 31

Answer:

22

Step-by-step explanation:

po ang tamang sagon po

Riley and Rhoda plan to buy several bags of dog food and a dog collar. each bag of food cost $7, and the dog collar cost $5.

Answers

Answer:

matters on amount of dog food bought

Step-by-step explanation:

12 for 1 bag

19 for 2 bags

26 for 3 bags

33 for 4 bags

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