What is the equation of the line that passes through the point ( − 4 , 8 )and has a slope of − 1/4

Answers

Answer 1

Answer:

y = -1/4x + 7

Step-by-step explanation:

Plug in the point and slope into y = mx + b, and solve for b:

y = mx + b

8 = -1/4(-4) + b

8 = 1 + b

7 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = -1/4x + 7

So, the equation of the line is y = -1/4x + 7


Related Questions

Find the midpoint, M, of AB.
А
M
B
[?]
22

Answers

Answer:

M=11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

To find the midpoint ( or middle) we take the average of the endpoints

(A+B)/2 = (0+22)/2 = 22/2 = 11

the score analysis of a school show the following.
180student register for Economics, 90 student Economics and political science,10 student Economics only, 150 student Economics and Geography, 120 student political science and Geography, 210 Geography, total number of students that register for the subjects= 250. find the number of students who register for.
1. political science
2. political science and Geography but not econs
3. Economics and political science but not Geography ​

Answers

Answer:

Economics and political science but not Geography

is right answer i think

The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
a) Write down the expression for the sum of the first (n − 1) terms.
b) Find the first term and common difference of the above sequence.

Answers

Answer:

(a).

[tex]S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\ [/tex]

(b).

from general equation:

[tex]S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)[/tex]

first term is 4n

common difference:

[tex]16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2} [/tex]

Which is the graph of f(x) = 100(0.7)?

Answers

Answer:

70; The following graph is simply a horizontal line at the value 70.

Step-by-step explanation:

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

22. which month did the business make the most profit
23. which month did the business make the least profit

Answers

Answer:

JulyMarch

is your answer. I HOPE YOUR DAY GOES GREAT.

The formula d=rt is used to calculate the distance traveled by an object moving at a constant average speed during an elapsed time . How long would it take a pilot to fly 1240 miles at an average speed of 220 mph?

Answers

Answer:

Approx 5.64 hours

Step-by-step explanation:

d=rt

t=d/r

To find the time, divide distance by velocity

1240 / 220 = approx 5.64 hours

Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?

Answers

Answer:

765

Step-by-step explanation:

1)4.25/100=0.0425

2)0.0425*3600=153

3)153*5=765

Find the fraction that is exactly halfway between 3/7 and6/7 pls help​

Answers

Answer:

[tex]\frac{9}{14}[/tex]

Step-by-step explanation:

1. Add two fractions together.

[tex]\frac{3}{7}[/tex] + [tex]\frac{6}{7}[/tex] = [tex]\frac{9}{7}[/tex]

2. Divide by 2.

[tex]\frac{9}{7}[/tex] ÷ 2 = [tex]\frac{9}{14}[/tex]

Fred and Gina are playing tennis. The first player to win 2 sets wins their match. Fred has a 3/5 chance to win each set while Gina has a 2/5 chance. What is the probability that the match goes three sets until someone wins?

Answers

Answer:

60/125 which can be reduced to 12/25

Step-by-step explanation:

Gina wins

2/5 * 2/5 = 4/25

3/5 * 2*5 * 2/5 = 12 /125

2/5 * 3/5 * 2/5 = 12/125

Fred Wins

3/5 * 3/5 = 9/25

2/5 * 3/5 * 3/5 = 18/125

3/5 * 2/5 * 3/5 = 18/125

P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125

P(2 sets) = (20 + 45)/125 = 65/125

I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.

Which of the following is equal to square root of 3 and square root of 6.

Answers

Answer:

the answer is the second option which is 6⅓

Answer:

6^1/6

Step-by-step explanation:

Rewriting with the exponents as fractions

(6^1/3) ^1/2

We know a^b^c = a^(b*c)

6^(1/3*1/2)

6^1/6

Help ASP!
Sarah has 80 pennies. Lou
has 10 times as many
pennies as Sarah.
Joe has 1/10 as many
pennies as Sarah. How many
pennies do Lou
and Joe have together?

Answers

Lou has 800 pennies
Joe has 8 pennies
Therefore they have 808 pennies

Find the missing lengths of the sides.

A) a = 6^3 ft, b = 6^3 ft

B) a = 12 ft, b = 12 ft

C) a = 6 ft, b = 6 ft

D) a = 6 ft, b = 6^2 ft

Answers

Answer:

The choose B) a=12, b=12

Step-by-step explanation:

sin45= a/12√2 —> a=12

cos 45= b/12√2 —> b=12

I hope I helped you^_^

Juan Carlos grew 2.79 inches last year. Which shows a way to represent the value of the 9 in this number?

Answers

Answer:

0.09

Step-by-step explanation:

hope it helps!!!!!!

Help please! Describe how figure 20 will look like

Answers

9514 1404 393

Answer:

  Each colored block in Figure 20 will be a 20×20 square of smaller squares of the same color. The red-green pattern will be identical.

Step-by-step explanation:

Each colored block in Figure N is an N×N array of small blocks the same color. The pattern of red and green N×N blocks is the same from one figure to the next. We expect Figure 20 to fit this description.

Use the order of operations to simplify the expression below. 990 ÷ (12-9)​

Answers

Hi ;-)

[tex]990:(12-9)^2=990:3^2=\\\\=990:(3\cdot3)=990:9=\boxed{110}[/tex]

What two rational expressions sum to 2x+3x2−2x−15?

Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.

Answers

The rational expressions that sum to  [tex]\frac{2x+3}{(x+3)(x-5)} = \frac{2x}{(x+3)(x-5)} + \frac{3}{(x+3)(x-5)}[/tex]

The given expression is:

[tex]\frac{2x+3}{x^2-2x-15}[/tex]

Factorize the denominator

[tex]x^2-2x-15\\x^2-5x+3x-15\\x(x-5)+3(x-5)\\(x+3)(x-5)[/tex]

The given expression therefore becomes:

[tex]\frac{2x+3}{(x+3)(x-5)}[/tex]

This can be split into the sum:

[tex]\frac{2x+3}{(x+3)(x-5)} = \frac{2x}{(x+3)(x-5)} + \frac{3}{(x+3)(x-5)}[/tex]

Learn more here: https://brainly.com/question/17103002

Answer: 2x+3/x^2-2x-15 = 13/8(x-5) + 3/8(x+3)

Step-by-step explanation: I took the test and used the answer above and got the answer wrong, then the test gave me this answer:

I’ll give you 50 points if it’s answer correctly

Answers

Answer:

. The line passes through the quadrants I, II and III.  ii. The line intersects the Y-axis at (0, 1).

Question 3
1 pts
Use the number line below to find the midpoint of segment AB

midpoint of segment AB (answer1]

Answers

Answer:

The midpoint is -4

Divide 3m 80cm of ribbon in the ratio of 1/3 : 3/4 : 1/2 what is the result?​

Answers

Answer:

80 cm / 180 cm / 120 cm

Step-by-step explanation:

the smallest common multiple of 3, 4 and 2 is 12.

so, to be able to truly compare these fractions we need to bring all denominators to .../12.

1/3 = 4/12

3/4 = 9/12

1/2 = 6/12

in total we have therefore 19 (4+9+6) equally large parts of the ribbon that are then combined :

4 parts for the first segment.

9 parts for the second segment

6 parts for the third segment.

so, one part is

380 cm / 19 = 20 cm

therefore the first segment of the ribbon is

4×20 = 80 cm long

the second segment

9×20 = 180 cm long

the third segment

6×20 = 120 cm long

Jenny completed four-fifths of her summer reading assignment. Her classmate Antonio completed seven-eighths of his assignment, and classmate Jerry completed three-fourths of his assignment. Which student read the least? Which student read the most? Which student fell in the middle? (Show all work.)

Answers

Answer:

Jerry, Antonio, Jenny

Step-by-step explanation:

To solve this, we can represent the numbers as fractions, make them have one common denominator, and go from there

First, we can represent these as fractions:

Jenny:

four-fifths = 4/5

Antonio:

seven-eighths = 7/8

Jerry:

three-fourths = 3/4

Next, we can find the lowest common multiple. We can do this by listing the multiples of each number until something is in common for all 3

4:

4, 8, 12, 16, 20, 24, 28 ,32, 36, 40, 44, 48

8:

8, 16, 24, 32, 40, 48, 56, 64

5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

One number that is in common is 40.

Our next step is to find out what we need to multiply each number by to equal 40. We can do this via division.

4:

40/4 = 10

8:

40/8 = 5

5:

40/5 = 8

Next, we can multiply the numerator and denominator by the same number, essentially multiplying it by 1. For example, 4/5 * 5/5 = 20/25, which is still equal to 4/5 because 5/5 = 1 and multiplying any number by 1 keeps it the same.

3/4 * 10/10 = 30/40

7/8 * 5/5 = 35/40

4/5 * 8/8 = 32/40

We can see that 3/4 (Jerry) is the lowest, 7/8 (Antonio) is the highest, and 4/5 (Jenny) is in the middle

Find the greatest common factor of these two expressions.
28xy8v7 and 14x6v3

Answers

9514 1404 393

Answer:

  14xv^3

Step-by-step explanation:

Coefficients are 28 and 14, which have a GCF of 14.

x exponents are 1 and 6, so the GCF is x^1 = x

y exponents are 8 and 0, so the GCF is y^0 = 1

v exponents are 7 and 3, so the GCF is v^3

The GCF of the two terms is the product of the factors just found:

  14xv^3

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! LOOK IMAGE FOR OPTIONS
Which table represents a direct variation function?

Answers

This means that as x increases, y increases and as x decreases, y decreases
So answer is the last option (last table)

Please Help! I am so confused. I will give you the brainiest and a lot of points.
Please show work

Answers

Read each number from top to bottom. Each digit is in base 20, and as I pointed out in another question of yours, 1 bar = 5, 1 dot = 1, and disk = 0.

(47) Only 1 digit here, with 2 bars and 4 dots. So this is 14.

(49) 3 digits, in order from top to bottom: 19, 0, 6. So this number is

[19]06₂₀ = 19×20² + 0×20¹ + 6×20⁰ = 7606

(51) 3 digits: 8, 8, 8.

888₂₀ = 8×20² + 8×20¹ + 8×20⁰ = 3368

(53) 4 digits: 2, 0, 0, 11.

200[11]₂₀ = 2×20³ + 0×20² + 0×20¹ + 11×20⁰ = 16011

(55) 4 digits: 10, 10, 0, 10.

[10][10]0[10]₂₀ = 10×20³ + 10×20² + 0×20¹ + 10×20⁰ = 84010

(57) 6 digits: 5, 10, 0, 6, 2, 3.

5[10]0623₂₀ = 5×20⁵ + 10×20⁴ + 0×20³ + 6×20² + 2×20¹ + 3×20⁰ = 17602443

(59) 6 digits: 10, 5, 0, 0, 11, 4.

[10]500[11]4₂₀ = 10×20⁵ + 5×20⁴ + 0×20³ + 0×20² + 11×20¹ + 4×20⁰ = 32800224

Someone please help!
-it is a 4 digit number.
-the vaule of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place.
-the least digit is in the tens place.
-the sun of the digits is 19. -the digit in the ones place is 4 more than the digit in the hundreds place.
-whats the mystery number?

Answers

Answer:

5539

Step-by-step explanation:

You should conclude that the number in the thousands place and the one in the 100s place are the same.

x * 1000 + x * 100 + y + x + 4

So you could sum the digits as

3x + y + 4 = 19   Subtract 4 from both sides

3x +  y = 15

x can be six           That means y = 1 which is OK

x can be five          That means y = 3 which is OK

Now we run into a little grief. Can x be 4? No

x cannot be 4          that would mean that y = 19 - 12 = 7 The tens digit is too big.

Come to think of it, x cannot be 6 because then the units digit will be 10 -- not possible.

So the answer is

1000*5 + 100*5 + 10*3 + 9

5539 is the answer.

Thanks for posting.

We want to find a 4-digit number that meets some given conditions. We will find two, which are:

4438 and 5509

A general 4-digit number can be written as:

a*1000 + b*100 + c*10 + d

Where a, b, c, and d are single-digit numbers.

a is the thousands digit

b is the hundreds digit

c is the tens digit

d is the units digit.

Here we know that:

"the value of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place."

So the first term is 10 times the second term, this means that:

(a*1000) = 10*(b*100)

a*1000 = b*1000

a = b

-the least (the smaller one) digit is in the tens place.

so:

c < a, b, d

- The sun of the digits is 19.

So:

a + b + c+ d = 19

-The digit in the ones place is 4 more than the digit in the hundreds place.

so:

d = b + 4

Now we can rewrite all of these conditions as:

b = ac < b, a, da + b + c + d = 19d = b + 4

Using the first one, we can replace all the b's by a's in the other conditions, so we have:

c <  a, d2a + c + d = 19d = a + 4

Now we can use the third equation and replace it in the second one to get:

2a + c + d = 19

2a + c + (a + 4) = 19

3a + c + 4 = 19

3a + c = 19 - 4

3a + c = 15

Now we need to remember that:

c < a.

So we can try with different values of a.

For example, if a = 3, then:

3*3 + c = 15

9 + c = 15

c = 15 - 9 = 6

here we have c > a, so we can discard this.

If a = 4, then:

3*4 + c = 15

12 + c = 15

c = 15 - 12 = 3

c < a

From this we can construct our number:

a = b = 4

c = 3

d = b + 4 = 4 + 4 = 8

Then the number is:

4438

If a = 5, then:

3*5 + c = 15

15 + c = 15

c = 15 - 15 = 0

c < a

So we also can have:

a = b = 5

c = 0

d = b + 4 = 9

Such that the number is:

5509

And if a is equal to or larger than 6 we have problems, because

3*6 + c = 15

18 + c =15

c = 15 -18 = -3

And c can't be a be a negative number.

So we can conclude that we found two 4-digit numbers that meet all the conditions, and these are:

4438 and 5509

If you want to learn more, you can read:

https://brainly.com/question/19902993

4/6+1/4 =

Pliss help me​

Answers

4/6 can be 16/24
1/4 can be 6/24
when you add it equals 22/24 simplified into 11/12

Answer:

11/12.

Step-by-step explanation:

The lowest common denominator of 6 and 4 is 12, so we have

4/6 + 1/4

=  4*2 / 6*2 + 1*3 / 4*3

= 8/12 + 3/12

= 11/12.

Is 0.14 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9

Answers

Answer:

7/50

Step-by-step explanation:

7 divided by 50 equals 0.14 in decimal format.

if two adjacent sides of rectangle having perimeter 21 cm are in the ratio 3:4 what is the area of the rectangle is ...cm ?​

Answers

Let the length and breadth be l and b respectively.
Given,
l/b=3/4
=> l = 3b/4

We have,
P = 2(l+b)
=> 21 = 2(3b/4 + b)
=> 21*2= 7b
=> b = 6cm

Similarly,
l = 4.5cm
Thus, Area = l*b
=> Area = 4.5*6
=> Area = 27cm^2

Triangle JKL is similar to triangle PQR. What is the measure of angle R?
Please answer as soon as possible.

Answers

Answer:

x = 43°

Step-by-step explanation:

59 + 78 + x = 180

137 + x = 180

(137 - 137) + x = 180 - 137

x = 43°

find a formula for the arithmetic sequence consisting of the positive multiples of 4

Answers

9514 1404 393

Answer:

  4n

Step-by-step explanation:

For positive multiple number 'n', the value is 4n.

  a[n] = 4n . . . . . where a[n] is the n-th term of the sequence

Answer:

an = 4n

Step-by-step explanation:

got it right on test

A number is multiplied by 16, and that product is added to 4. The sum is equal to the product of 4 and 9. Find the number.

Answers

Answer:

The number is 2

Step-by-step explanation:

x * 16 + 4 = 9*4

x * 16 + 4 = 36

x * 16 + 4 - 4 = 36 - 4

x * 16 = 32

x * 16 / 16 = 32 / 16

x = 2

Answer:

The number is 2

Step-by-step explanation:

let the number be "a"

16a+4=4×9

16a+4=36

16a=36-4

16a=32

a=2

Other Questions
In store A: A box of cotton candy costs 1 dollar, 12 boxes cost 12 dollars. In store B: 12 boxes cost 48 dollars. How much does each box cost in store B? 1. A leftward force is used to pull a large wagon. In the wagon there is an unknown massthat makes it very difficult to move, but a force applied is able to set the wagon intoconstant motion. Let the force applied to the wagon and its unknown mass be 77.3 N. Thecoefficient of friction between the wagon's wheels and the floor is 0.011. Determine themass of the wagon if it was empty.i. Let's say that the unknown mass in the wagon is 95.5% * mass of thewagon. What is the weight of the wagon when its empty and what is theweight of the unknown mass? Write 0.002349 in scientific notation. This is a model that describes how much energy is transferred from one trophiclevel to the next.energy pyramidfood webfood chaintrophic level which which division problem does the diagram below best illustrate? 60 points paragraph on comparative study of hdi among saarc countries HELP ME !!! Point M is the midpoint of AB. AM = 3x +3, and AB = 82What is the length of AM?Enter your answer in the box.units Identify the type of artificial fibers based on the properties given below: (a) Different kinds of plastic bottles, utensils, films, wires are made from these fibres. A probability of breaking a tree is more than a short one during storm.why? Interviews about risky behavior Im so confused what is answer to the value of x HELPPP Including a 5% sales tax, an inn charges $172.20 per night. Find the inn's nightly cost before tax is added. Describe what makes a computer or an airplane a global product.WILL GIVE BRAINLIEST IF ANSWERED RIGHT In 30 words or fewer , do you think that you should believe everything you read in the first person ? Sorry that the last question was wrong to help me with this one. In what situation would you most likely need to use a computer to analyze data?(1 point) please please please help me. Spindle fibers Are made by centrioles All of the choices are correctare composed of thin protein filaments direct chromosome movement in cell division HELP HELP HELP!! Giving brainliestOf 200 students, 150 like Math or English. 50 like both subjects and 90 of the students like math. How many students like English? Suppose you have a bag of marbles that contains 8 blue marbles and 2 yellow marbles. If you select two marbles from the bag, one after the other without replacing the first, what is: