What is the x-and y-intercept of the graph 4x -5y =40??

Answers

Answer 1

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

[tex]4x-5y=40[/tex]

To identify the y-intercept, we will need to format the equation in the form [tex]y=mx+b[/tex]. We can start by subtracting [tex]4x[/tex] from both sides of the equation:

[tex]-5y=-4x+40[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-5[/tex]:

[tex]y=\frac{-4}{-5} x - 8[/tex]

The [tex]b[/tex] is representative of the y-intercept in [tex]y=mx+b[/tex].

Identify [tex]b[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex]:

[tex]b=-8[/tex]

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the [tex]y[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex] with a zero:

[tex]0=\frac{-4}{-5} x - 8[/tex]

Add [tex]8[/tex] to both sides of the equation:

[tex]8=\frac{-4}{-5} x[/tex]

You can go ahead and divide [tex]-4[/tex] by [tex]-5[/tex] to get rid of the fraction:

[tex]8=0.8x[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]0.8[/tex]:

[tex]10=x[/tex]

Therefore, our x-intercept is 10.


Related Questions

66% of 62 is...? **SHOW YOUR WORK** PLEASE HELP!! :'(

Answers

Step-by-step explanation:

divide 62 by 100 and then multiply that number by 66. I don't have a calculator on me rn sorry

Answer:

Fraction:

[tex]\frac{1023}{25}[/tex]

Decimal:

40.92

Mixed Number:

[tex]40\frac{23}{25}[/tex]

Step-by-step explanation:

66% is the same this as [tex]\frac{66}{100}[/tex]. You can simplify [tex]\frac{66}{100}[/tex] to [tex]\frac{33}{50}[/tex]. Then, find [tex]\frac{33}{50}[/tex] of 62, which is the same thing as [tex]\frac{33}{50}[/tex] x 62. You’ll get either of the three options, a fraction, decimal, or a mixed number, but all three are the same thing (you get to choose which one).

Hope this helps! :)

Which graph is the most appropriate to describe the height of a candle burning at a constant rate? ​

Answers

Answer:

A

explanation:

When something has a constant rate of change, one quantity changes in relation to the other by a constant factor. One concrete example of this is the relation of distance rate and time

Answer:

c is the correct answer i think not sure

Please help fast, thanks.

Answers

Answer:

b

Step-by-step explanation:

d. she picked up at least 20, so it would be greater than or equal too.

A fruit vendor sells apples and mangos. Each apple costs the same amount, and each mango costs the same amount.

· Lucy buys 3 apples and 6 mangos for a total of $9.15.

· Amir buys 8 apples and 4 mangos for 11.92.

What is the cost of a single apple?

Answers

Answer:

$0.97

Step-by-step explanation:

Let the cost of a single apple is x and that of single mango is y.

ATQ,

3x+6y=9.15 ....(1)

8x+4y=11.92 ...(2)

Multiply equation (1) by 8 and equation (2) by 3

24x+48y=73.2 ...(3)

24x+12y=35.76  ...(4)

Subtract equation (2) from (1) :

24x+12y-(24x+48y) = 35.76  - 73.2

12y-48y = -37.44

-36y = -37.44

y = $1.04

Put the value of y in equation (1)

3x+6y=9.15

3x+6(1.04) = 9.15

3x = 9.15-6(1.04)

3x = 2.91

x = $0.97

Hence, the cost of single apple is $0.97.

please help i will name brainiest

Answers

Answer:

Step-29 (86by-step explanation:

PLEASE HELP WILL MARK BEST!

Tristan and Devin are brother and sister. Their parents put a total of $200 a month into a
college account. Tristan just graduated from high school, and Devin has two years of high school left.
Suppose Tristan and Devin each graduate college 4 years after they graduate high school, and their
parents will continue to put $200 into the college account monthly until both children have graduated
from college. If there is $10,000 in the account right now, how much money should each child get per
year in order to get an equal share?

Answers

Answer:

I think the answer is 5,000 .

Is 9.78778777... a rational or irrational number?

Answers

Answer:

rational

Step-by-step explanation:

If the equation 5(3x + 7) – 1 = 3(52 + k) + 4 has infinitely many solutions, what is the value of k?

Answers

Answer:

k = 5x - 42

Step-by-step explanation:

11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6

Answers

The given expression is :

1:2=3:x

To find,

The value of x.

Solution,

The ratio of LHS is 1:2 or 1/2

It should be same as in RHS.

If x = 6,

Then the ratio becomes :

1:2 = 3:6

or

1:2 = 1:2

Hence, the value of x = 6.

100 POINT GIVEAWAY!!!! HAVE AN AMAZING DAY!!!!!

Answers

Answer:

yay

Step-by-step explanation:

Answer:

Thx

Step-by-step explanation:

25 Point Math Question Image Attached

Answers

X = hypotenuse x sin(angle)

Rewriting this with the given information:

Sin(26) = x/10

The answer is B.

Answer:

answer is B

Step-by-step explanation:

just got it right

Estimate the coordinates of the point where the two lines meet.


Choose two equations that make up the system represented by the graph.

y=54x

y=6−2.5x

y=2.5x+6

y=6−3x

y=0.8x

Answers

Answer:
y = 6 - 2.5x
y = 0.8x

Chanel rolls a 6-sided die {1,2,3,4,5,6), and then flips a coin {H,T}
Which outcome is in the sample space of this experiment?
A.5H
B. T3
C. 24
D.TH

Answers

Answer:

5H

Step-by-step explanation:

Given

A roll of die followed by a flip of coin.

Required

Determine possible outcome in the sample space

Taking the experiment one at a time.

A roll of die will either give any of 1 to 6 as its outcome.

A flip of coin will either give any of H or T as its outcome.

So, the possible outcomes of a roll of die followed by a flip of coin is:

{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

Note that numbers came first because the question stated that the die is rolled first.

Comparing the list of given options with the sample space above.

Option (A) i.e. 5H answers the question.

Solve the equation.
3y + 11 = -16

Answers

Answer:

y= -9

Step-by-step explanation:

Answer:

y = -9

Step-by-step explanation:

Algebra:

3y + 11 = -16

-11 -11

3y = -27

÷ 3 ÷ 3

y = -9

Stella predicted that she would sell 56 sculptures. She actually sold 30 sculptures. What are the values of a and b in the table below? Round to the nearest tenth if necessary.

Answers

Answer:

a=26 / 56 and b = 46.4 percent

Step-by-step explanation:

From the question, the Approximate value is given as = 56

While the Exact value is given as 30

Error

Absolute error= 56-30=26

Where Ratio= a= error/Approximate value=26/56

Percent error = b= 26/56×100%=46.4

it's a

have an nice day day

The ratio for 2 batches of recipe

Answers

Answer:

The ratio of that is 2:1

Step-by-step explanation:

Thats all

The governor of state A earns ​$48,980 more than the governor of state B. If the total of their salaries is ​$289,660​, find the salaries of each

Answers

Answer:

Governor of State B: $120,340; Governor of State A: $169,320

Step-by-step explanation:

For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.

Governor B salary + Governor A salary = $48980

x+x+48980=289660

2x+48980=289660

2x=240680

x=120340

120340+48980=169320

Let x = salary for governor of state A
Let y = salary for governor of state B

Then x = y + 48980, since gov. of state A earns this much more than governor of state B.

Therefore we have x + y = 289660. Substitute for x.

(y + 48980) + y = 289660
2y + 48980 = 289660
2y = 240680
y = $120340, which is salary for governor B.

Now we substitute y into x = y + 48980
x = 120340 + 48980
x = $169320, which is salary for governor A.

One ball is drawn from a bag containing 4 red balls numbered 1–4 and 10 white balls numbered 5–14. Find the following probabilities.
What is the probability that the ball not divisible by 3?

Answers

Step-by-step explanation:

9 in total numbers can't be divided by 3...

therefore your probability will be = 9/14

= 0.64

write the decimal 2.10 as a percent ​

Answers

Answer:

210%

Step-by-step explanation:

dat was too easy

Answer:

210% or 21% or 2.10%

its all about what 2.10 is out of (example:   /1=210%  /10= 21%  /100=2.1%

edit: if your wondering what the "/" means it means " out of"                (example: 1 out of 100 is 1%)

1/13 times 1/2.54 show your work

Answers

Answer:

0.03028467595

Step-by-step explanation:

calculator?

Mrs. Jagielski has $300 put aside for Christmas shopping. She spent 65% of her money on
Black Friday. How much money does she have LEFT to keep shopping with? *

Answers

Answer:

$195

Step-by-step explanation:

$300*.65 (your precent turns to a decimal) = $195 left

Meredith borrows $12,560 and pays 2% simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan? ​

Answers

Answer:

A = $13,564.80

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year.

Solving our equation:

A = 12560(1 + (0.02 × 4)) = 13564.8

A = $13,564.80

The total amount accrued, principal plus interest, from simple interest on a principal of $12,560.00 at a rate of 2% per year for 4 years is $13,564.80.

Answer:

its b

Step-by-step explanation:

How many different ways can 5 events be ordered?

Answers

Answer:120 ways

Note that your choice of 5 objects can take any order whatsoever, because your choice each time can be any of the remaining objects. So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.

Step-by-step explanation: LET ME BE!

If P(A or B) = 0.8, P(A) = 0.3, and P(A and B)= 0.15, find P(B).
P(B) =
(Simplify your answer. Type an integer or a decimal.)

Answers

9514 1404 393

Answer:

  P(B) = 0.65

Step-by-step explanation:

The appropriate formula is ...

  P(A or B) = P(A) +P(B) -P(A and B)

Then P(B) is ...

  P(B) = P(A or B) +P(A and B) -P(A)

  P(B) = 0.8 +0.15 -0.3

  P(B) = 0.65

Factor x3 + 2x2 + x completely.

Answers

Answer:

[tex] {x}^{3} + 2 {x}^{2} + x[/tex]

[tex]x(x {}^{2} + 2x + 1)[/tex]

[tex]x(x + 1) {}(x + 1)[/tex]

[tex]x(x + 1) {}^{2} [/tex]

Answer:

C. x(x+1)2 on edu 2021

Step-by-step explanation:

please fast tell me​

Answers

Answer:

1). Option (b)

2). Option (d)

3). Option (d)

Step-by-step explanation:

Question (1)

For Pythagoras triplet,

(Largest number)² = (Number 1)² + (Number 2)²

a). 5² = 5² + 2²

   25 = 25 + 4

   25 = 29

  Not True.

b). 5² = 3² + 4²

   25 = 9 + 16

   25 = 25

   True.

c). 10² = 1² + 5²

   100 = 1 + 25

   100 = 26

   Not true.

d). 2² = 2²+ 2²

   4 = 4 + 4

   4 = 8

   Not true.

Therefore, Option (b) is correct.

Question (2)

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]

      = [tex]\frac{5-1}{5}[/tex]

      = [tex]\frac{4}{5}[/tex]

Therefore, Option (d) is the answer.

Question (3)

Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.

a). 6 + 3 > 2 ⇒ 9 > 2 [True]

    6 + 2 > 3 ⇒ 8 > 3 [True]

    2 + 3 > 6 ⇒ 5 > 6 [False]

    Triangle is not possible.

b). 2 + 8 > 3 → 10 > 3 [True]

    8 + 3 > 2 → 11 > 2 [True]

    2 + 3 > 8 → 5 > 8 [False]

   Triangle is not possible.

c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   2.5 + 2.5 > 5.5 → 5 > 5.5 [False]

   Triangle is not possible.

d). 3 + 6 > 7 → 9 > 7 [True]

    3 + 7 > 6 → 10 > 6 [True]

    7 + 6 > 3 → 13 > 3 [True]

   These are the sides of a triangle.

Therefore, Option D is the answer.

The question is below

Answers

9514 1404 393

Answer:

  162°

Step-by-step explanation:

The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.

So, central angle ABC is twice the measure of inscribed angle ADC:

  m∠ABC = 2·81° = 162°

math people i really need help

Answers

Step-by-step explanation:

explained in the photo

Find the value
If a=4 b=7, and c=-5
3c

Answers

Answer:

=-15

Step-by-step explanation:

3c

3(-5)

3×-5

=-15

The answer to this is =-15

I need help with this​

Answers

Answer:

m∠z = 106°

Step-by-step explanation:

From the figure attached,

By exterior angle theorem,

m∠z = a + 68°

By linear pair theorem,

m∠a + 142° = 180°

m∠a = 180° - 142°

        = 38°

Therefore, m∠z = 38° + 68°

                          = 106°

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