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

If f(x)=6x-2, what is the value of f(4)?

Please explain I don’t understand these questions.


Answers

Plug 4 for x
f(4) = 6(4) - 2
f(4) = 24 - 2
Solution: f(4) = 22

Answer:

I think it might be 16 or 24.

Step-by-step explanation:

Pardon if I'm wrong.

4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
THANKS BROTHA
`•••~Low_Millenial~•••`
°°°°°°Tutor and pal°°°°°°°​

Answers

Answer:

x=-19  x=30

Step-by-step explanation:

-5x-15=-3x+23

    -23      -23

-5x-38=-3x

+5x        +5x

-38=2x

/2       /2

-19=x

-107-7x=73-13x

-73         -73

-180-7x=-13x

      +7x   +7x

-180=-6x

30=x

Please help and explain how you got the answer. Im giving out brainliest. || Q2

Answers

Answer:

B

Step-by-step explanation:

Convert 3/5 and each fraction so that that they have the same denominator by finding the (lowest) common multiple. If they have the same numerator, then the fractions are equivalent.

Whatever you multiply the denominator by, you need to multiply the numerator by.

A) The lowest multiple of 5 and 15 is 15.

5 * 3 = 15

3 * 3 = 9

3/5 = 9/15

B) The lowest multiple of 5 and 16 is 80.

5 * 16 = 80

3 * 16 = 48

3/5 = 48/80

16 * 5 = 80

12 * 5 = 60

C) The lowest multiple of 5 and 50 is 50.

5 * 10 = 50

3 * 10 = 30

3/5 = 30/50

D) The lowest multiple of 5 and 60 is 60.

5 * 12 = 60

3 * 12 = 36

3/5 = 36/60

Fewer young people are driving. In , of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in ?

Answers

The margin of error is 0.027 and the interval estimate at 95% confidence interval is 0.612 to 0.666

How to calculate the margin of error and the interval estimate

From the question, we have the following parameters that can be used in our computation:

Proportion, p = 63.9%

Sample size, n = 1200

The margin of error can be calculated using:

E = z * √((p * (1 - p))/n)

Where

z = 1.96 i.e. z-score at 95% CI

Substitute the known values in the above equation, so, we have the following representation

E = 1.96 * √((0.639 * (1 - 0.639))/1200)

Evaluate

E = 0.027

The interval estimate is calculated as

I = p ± E

So, we have

I = 0.639 ± 0.027

Evaluate

I = 0.612 to 0.666

Hence, the interval estimate is 0.612 to 0.666

Read more about confidence interval at

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Question

Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.

At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?

2. Which of the following is the correct value of (0.22) - (0.4)? Show your reasoning. c. 0.088 d. 0.0088 w​

Answers

Answer:

C

Step-by-step explanation:

there would have to be one more zero between 0 and 8 for both of them

help plz very very confused

Answers

Answer:

x=-2

Step-by-step explanation:

Use the elimination method to solve the following system. 6x – 7y = –8 –x – 4y = –9

(–6, –3)


(0, 4)


(–3, 8)


(1, 2)

Answers

The correct answer is (1,2)

Steps:
Multiply the second equation by 6 in order to eliminate the x variable.

6x-7y= -8
6(-x-4y= -9)

6x-7y= -8
-6x-24y=-54

Add the equations together and solve for y

-31y= -62
Y=2

Substitute y=2 in the original equation

-x-4(2)= -9
-x-8= -9
-x= -1
X=1

Answer: (1,2)



You run 6 miles in one hour and 24 miles in four hours.
a. 6 miles
per hour
c. 4 hours
b. 4 miles per hour
d. 6 miles

Answers

Answer:b

Step-by-step explanation:

A is carrect 24/4 6 mile

5. What are the dimensions of this matrix?
Please help meeeeeeeeeee

Answers

Answer:

4 x 1

Step-by-step explanation:

The matrix shown in the illustration has 4 rows and 1 column, and thus we give the dimensions as 4 x 1.

if anybody could answer this; please do!

Answers

Answer:

2

Step-by-step explanation:

cause

Answer:1,036

Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find the probability that a cat will live to be older than 14 years. b. Find the probability that a cat will live between 14 and 18 years. c. If a cat lives to be over 18 years, would that be unusual? Why or why not? d. How old would a cat have to be to be older than 90% of other cats?

Answers

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

Help I on my have 10 minutes!!!PLZZZZZX

Answers

what’s the question?

Plz help with question

Answers

Answer:

I believe it's B

Step-by-step explanation:

Isosceles triangles have congruent base angles, so base angle A and B should both be the same number. (25)

Added up, 25+25+130 is 180 degrees.

geometry unit 4 congruent triangles

Answers

Answer:

okay?

Step-by-step explanation:

The four congruent triangles are by SAS, AAA, ASA and RHS.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The four congruent triangles are,

They can be congruent by side angle and side.

They can be congruent by angle, angle and angle.

They can be congruent by angle side angle.

They can be congruent by one of the legs and the hypotenuse of a

right-angle triangle.

learn more about congruency here :

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HELP FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

Step-by-step explanation:

 U bot. Nub

Helpppp pleaseeeeeeee

Answers

Answer:

x= 6.85 or 89/13

Step-by-step explanation:

perimeter is sum of all sides added, so add them all and set them equal to 84

4(x-3) + 3x - 1 + 6x + 8 = 84

distribute

4x + 12 + 3x - 1 + 6x + 8 = 84

combine like terms

13x - 5 = 84

solve for x

x = 89/13 = 6.85

Using the binomial theorem, expand the expression (4 + y) to the power of 4

Answers

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

[tex]y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]

Step-by-step explanation:

[tex](4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]

PLZ HELP ME AND I WILL MARK BRAINLIEST!!!

Answers

Answer:

-315 + 100 & -230 + 15

Step-by-step explanation:

1. 0 + -21.5 = -21.5 2. -20 + -1.5 = 21.5

Natalie walked 3/5 mile in 1/2 hour.how fast did she walk,miles per hour.

Answers

Answer:

1.2 mph

Step-by-step explanation:

3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour

what does the dot (.) stand for in math

Answers

The dot stands for multiplication for example
4 •6 = 24 same as 4x6=24






If you’re talking about decimals

It is a point or dot we use to separate the whole number part from the fractional part of a decimal number. ... The decimal point separates the whole number from the fractional part. Example: In the number 257.16, the decimal point separates the whole number 257 from the fractional part 16, which is 16 hundredths.

Answer:

The dot is called a decimal. Its what separates the whole number and the fraction of the number.

Step-by-step explanation:

For example, 0.5 is saying half, or 50 out of 100.

1) What is the constant of proportionality that relates y to x
х
Y
8
6
20
15
28
21
a. 1.33
6,48
0.0.75
b. 14
f

Answers

Answer:  The Answer Is A Because if u just add the numbers then divide them

Write the following in standard form: eight and twelve thousandths.

Answers

Answer:

8.012

Step-by-step explanation:

standard : 8.012

written: eight and twelve thousandths.

8.012 hopes this helps

The sum of 7 ⅓ and a number, n is 10 ⅜. What is the number?

Answers

Answer:

3 1/24

Step-by-step explanation:

to find the answer subtract ( 10 3/8 - 7 1/3 = 3 1/24 ).

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[tex]7 \frac{1}{3} + n = 10 \frac{3}{8} \\ [/tex]

[tex] \frac{21 + 1}{3} + n = \frac{80 + 3}{8} \\ [/tex]

[tex] \frac{22}{3} + n = \frac{83}{8} \\ [/tex]

Subtract sides 22 / 3

[tex] - \frac{22}{3} + \frac{22}{3} + n = - \frac{22}{3} + \frac{83}{8} \\ [/tex]

[tex]n = \frac{83}{8} - \frac{22}{3} \\ [/tex]

[tex]n = \frac{83 \times 3}{8 \times 3} - \frac{22 \times 8}{3 \times 8} \\ [/tex]

[tex]n = \frac{249}{24} - \frac{176}{24} \\ [/tex]

[tex]n = \frac{249 - 176}{24} \\ [/tex]

[tex]n = \frac{73}{24} \\ [/tex]

[tex]n = \frac{72 + 1}{24} \\ [/tex]

[tex]n = 3 \frac{1}{24} \\ [/tex]

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4. Write as a fraction in simplest form: 38 minutes to 12 minutes

Answers

Answer:

3 ⅙

Step-by-step explanation:

38 and 12’s common factor would be 2. Now the fraction is 19/6.

How many 6’s can fit into 19? 3. With a remainder of 1 we have:

3 ⅙

************************

Answers

Answer: I think i my be wrong but i thing its B

Step-by-step explanation:

Factorise 3x to the power of 2 + xy

Answers

Answer:

 x • (3x + y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x to the power of to +xy= x (3x+y)

time. weight
8. 0.04
9. 0.07
10. 0.14
11. 0.25
12. 0.49

what is the average rate of change in weight of the plankton from week 8 to week 12?

A) 0.0265
B)0.0375
C)0.055
D)0.1125​

Answers

Answer:D

Because 0.49/12 -0.04/8 = 0.1125

Which of the following statements about photocopier A1 is correct compared to the other photocopiers?

Answers

Answer:

Option 2

Step-by-step explanation:

Number of breakdowns of the photocopiers in year 2011,

A1 = 15

A2 = 21

B1 = 34

B2 = 32

B3 = 23

Option (1)

A1 had just under a half the number of breakdowns compared to photocopier B3.

Half of B3 = 12

And A1 = 15

Therefore, A1 > B3

So the statement is False.

Option (2)

A1 had just under 50% of the breakdowns compared to photocopier B2

50% of the breakdowns of B2 = 16

A1 = 15

So, A1 < 50% of B2

Statement (2) is True.

Option (3)

A1 had more than 25 extra breakdowns compared to B1.

A1= 15

B1 = 34

A1 < B1

Therefore, statement is False.

Option (4)

A1 had 6% less breakdowns than photocopier A2.

A1 = 15

A2 = 21

A2 - A1 = 21 - 15 = 6

Percentage less breakdowns = [tex]\frac{6}{21}\times 100[/tex] = 28.6%

So this Option is False.

Therefore, Option (2) is the correct option.

Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.

A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.​

Answers

Answer:

D. Yes, because f(x) = g(x) when x = 2.​

Step-by-step explanation:

Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2

-7/5x +4/5= x- 4

If x = 2

f(2) = -7/5 (2)+ 4/5

f(2) = -14/5 + 4/5

f(2) = -10/5

f(2) = -2

g(x) = x - 4

g(2) = 2-4

g(2) = -2

Since f(2) = g(2), hence the lines intersects at x = 2

Answer:  abidemiokin is ritgh

Step-by-step explanation:

What if it is asking you to divide and not multiply?

Answers

Answer:

Then you divide :)

<3 Enjoy,

    Dea

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