Write an equation in point-slope form for the line with a slope of 1/4 that passes through the point (-1, -8)

Answers

Answer 1

Answer:

y = 1/4 x - 31/4

Step-by-step explanation:

Slope (m) = 1/4

Point A (-1, -8)

y = mx + b

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

-8 + 1/4 = b

b = -32/4 + 1/4

b = -31/4

y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in

y = 1/4 x + - 31/4

y = 1/4 x - 31/4


Related Questions

A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.

Answers

Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

Solve the following equation by the quadratic formula. 9x 4 + 5x 2 - 4 = 0 {±2/3, ±1} {±2/3, ±i} {±4/9, ±1}

Answers

The solution of the equation by the quadratic formula are, {±2/3, ±i}

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ 9x⁴ + 5x² - 4 = 0

Now, Put x² = y in above equation, we get;

⇒ 9y² + 5y - 4 = 0

Bu using quadratic formula as;

⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9

⇒ y = - 5 ± √25 + 144 / 18

⇒ y = - 5 ± √169 / 18

⇒ y = - 5 ± 13 / 18

This gives two solution,

⇒ y = - 5 + 13 / 18

⇒ y = 8/18

⇒ y = 4/9

⇒ x² = 4/9

⇒ x = ±2/3

And, y = - 5 - 13 / 18

⇒ y = - 18 / 18

⇒ y = - 1

⇒ x² = - 1

⇒ x = ±i

Thus, The solution of the equation are {±2/3, ±i}.

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Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above

Answers

Answer:

Step-by-step explanation: 12r-6+1= 12r-5

-8+12r+3= 12r-5

A and B

Please solve: (in a hurry)
will name the brainliest!!!
include steps!

Answers

Answer:

Step-by-step explanation:

Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.

Answers

After one year there will be $2260 and after two years there will be $2553.80

The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, the given data will be:

p = $2000

r = 13%

t = 1 year

To calculate the amount in the account at the end of 1 year.

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 2000(1 + 13/100)¹

A = 2000(1 + 0.13)¹

A = 2000(1.13)

A = $2260

To calculate the amount in the account at the end of 2 years.

A = 2000(1 + 13/100)²

A = 2000(1 + 0.13)²

A = 2000(1.13)²

A = $2553.8

Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

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Mrs. Adams paid $33.60 for 3.2 pounds of Hawaiian coffee beans. What is the price per pound of the coffee beans?

Answers

Answer:

$10.5

Step-by-step explanation:

33.6/3.2(that is unit price formula total by one) which is 10.5

Hope this helps plz mark brainliest :D

Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?​

Answers

Answer:

19.93

Step-by-step explanation:

If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.

Find the 39th term of the following sequence. 17,11, 5, -1

Answers

Answer:

-330

Step-by-step explanation:

a39= 17+ (39-1) * -6

17+ 38 = 55

55*-6 = -330

I need help :( this is like super hard I dont know what the anser is

Answers

Answer:

c

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

B. 1/4

Step-by-step explanation:

4 divided by 16 is 0.25 which is 1/4

Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor

Answers

Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)

Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE

Answers

Answer:

12 dimes

Step-by-step explanation:

1 dollar= 4 quarters

1 dime=10 cents

3.45-1.20=2.25

2 dollars= 8 quarters

2.25-2.20=.25

1 quarter=.25

SOOOO your answer is 12 dimes

3(2m-3)=5(m+1) What is the value of m

Answers

6m - 9 = 5m + 5
6 x 14 - 9 = 75
5 x 14 + 5 = 75
m = 14

Answer:

14!

Step-by-step explanation:

3(2m-3)=5(m+1)

Step 1: 6m-9 = 5m + 5

Step 2 : Add 9 to -9 and 5

6m= 5m+14

Step 3: Subtract 5m from 6 and 14

Simplify!

m=14

Eric plots points showing equivalent ratios on the coordinate plane below.

What is true about the relationship between the four points?
The points form a curve.
The points form a straight line.
The points are randomly scattered.
The points do not show any relationship.

Answers

Answer: The points form a straight line.

Step-by-step explanation:

In the isosceles trapezoid LMNO, find the value of x.




5


9


15


45

Answers

Answer:

15 would be the correct answrr

What is the square root for this numberZ

Answers

10 is the answer because 10 times itself is equal to 100
10
.........................

Write each number below in Scientific Notation.
1. 92, 000 = 9.2 x 104
2. 109,000 = 1.09 x 105
3. 4,673 = 4.673 x 103
4. 0.00087 = 8.7 x 10-4
5. 0.0235 = 2.35 x 10-2

Answers

Answer:

92,00=9.2*10^4

109,000=1.09*10^5

4,673=4.673*10^3

0.00087=8.7*10^-4

0.0235=2.35*10^-2

Step-by-step explanation:

Can anyone help?
The question says to expand and simplify it but i dont know how.

Answers

Answer:

3x+14

Step-by-step explanation:

remove parenthses

6x+8-3x+6

3x+14

Answer:

3x+14

Step-by-step explanation:

2(3x+4)-3(x-2)

6x+8-3x+6

3x+14

Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5

Answers

The answer is B. 320. 64 bags times 5 items in each bag.

Which statement is true about f(x) = -2/3|x+4|-6?
O The graph of f(x) has a vertex of (-4, 6).
O The graph of f(x) is a horizontal stretch of the graph of the parent function.
O The graph of f(x) opens upward.
O The graph of f(x) has a domain of x 5-6.

Answers

b. the graph of f(x) is a horizontal stretch of the graph of the parent function.

The True statement is

The graph of f(x) is a horizontal stretch of the graph of the parent function.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).

We have,

f(x) = -2/3 |x+4| - 6

So, -2/3 |x+4| - 6 = 0

-2/3 |x+4| = 6

|x+4| = -9

so, the vertex is not (-4, 6).

Here the -6 in the function shows the horizontal stretch.

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Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x

Answers

Answer:

7.99

General Formulas and Concepts:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step-by-step explanation:

Step 1: Define

x² + 3x

x = 1.7

Step 2: Solve

Substitute:                         1.7² + 3(1.7)Exponents:                        2.89 + 3(1.7)Multiply:                             2.89 + 5.1Add:                                   7.99

Help asap
A local hamburger shop sold a combined total of 555 hamburgers and cheeseburgers on Saturday. There were 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

Answers

Answer:

There were 250 hamburgers sold on Saturday.

Step-by-step explanation:

∵ A local hamburger shop sold a combined total of 555 hamburgers

   and cheeseburgers on Saturday

→ Assume that the shop sold x hamburgers

∵ The shop sold x hamburgers

∵ There were 55 more cheeseburgers sold than hamburgers

→ That means the number of cheeseburgers is greater than the

    number of hamburger by 55

∴ The shop sold x + 55 cheeseburgers

∵ The shop sold 555 burgers

→ Add the two types of burgers and equate the sum by 555

x + x + 55 = 555

∴ 2x + 55 = 555

→ Subtract 55 from both sides

∴ 2x + 55 - 55 = 555 - 55

∴ 2x = 500

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]

x = 250

∵ x represents the number of hamburgers

There were 250 hamburgers sold on Saturday.

On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?

Answers

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

The slope of the line that contains the point (1,9) and (4,3) would be -2.

The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every 2 weeks. To model this situation, she graphed the following line, where y represents the number of pounds left to lose and x represents time in weeks. The equation for this line is y= ___x +___. If she continues the line, she would see that it would take ___ weeks for her cat to lose 5 pounds​

Answers

Answer:

it would take the adverage of 10 weeks for her to lose 5 pounds did that help?

Step-by-step explanation:

If I accumulate two gallons of SHlT from an undisclosed location and I sell one gallon but in the process get two more gallons how many will I have left

Answers

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3

please help asap
is x= -3 what is the value of |x-4|-x^2
thank you

Answers

Answer:

16

check your math

|(-3)-4|=7

-3^2=-9

7-(-9)=16

welcome <3

Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. Drag steps to show how to find the total number of airplanes.

Answers

Answer:

56

Step-by-step explanation:

Given that:

Number of girls = 3

Number of boys = 4

Each student makes 8 paper airplanes.

To find:

The total number of airplanes = ?

Solution:

There can be two ways to find the total number of airplanes.

Method 1:

Keep on adding the number of airplanes for each student.

There are a total of 3+4 = 7 number of students.

First student makes = 8 airplanes

Second student makes = 8 airplanes

Third student makes = 8 airplanes

Fourth student makes = 8 airplanes

Fifth student makes = 8 airplanes

Sixth student makes = 8 airplanes

Seventh student makes = 8 airplanes

Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56

Method 2:

Simply multiply number of airplanes each student makes with the number of students.

i.e. 8 [tex]\times[/tex] 7 = 56

PLEASE HELP ME ANSWER NOW!!!! 15 POINTS

Answers

Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63

Answers

Answer:

B. X = 76, y = 63, z = 104

Step-by-step explanation:

46+58+x=180

104+x=180

x=180-104

x=76

game of bingo with 33 outcomes is created to allow 6 people to win the game for every 27 people who do not win. which ratio in the form of people who win to people who do not win? (Again....Please help with this ;-; )

Answers

Answer:

Winners:Losers

2:9

Step-by-step explanation:

Winners:Losers

6:27

[÷3]

2:9

Answer:

Ratio  2:9

Step-by-step explanation:

For every 27 winner there are 6 people who win

For every 6 people who win 27 people do not win

So the ratio is 6:27  This can be simplified by dividing by 3

  Ratio 2:9

     

2700 is a perfect cube. True/False?​

Answers

Answer: False

Step-by-step explanation:

Answer:

It is false hope this will be

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30 points!!!!!!!!!!!!!2. PART B: Which of the following quotes best supports theanswer to Part A?A.It swore every boy to stick to the band, and never tellany of the secrets, and if anybody done anything toany boy in the band, whichever boy was ordered tokill that person and his family must do it" (Paragraph 4)B. Everybody said it was a real beautiful oath, andasked Tom if he got it out of his own head. He said,some of it, but the rest was out of pirate-books androbber-books" ( Paragraph 5)C.Yes, he's got a father, but you can't never find himthese days. He used to lay drunk with the hogs in thetanyard, but he hain't been seen in these parts for ayear or more!" ( Paragraph 9)D.Ben Rogers said he couldn't get out much, onlySundays, and so he wanted to begin next Sunday; butall the boys said it would be wicked to do it on Sunday,and that settled the thing. What percent is:45 of 36 Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) f (a) b a . If the Mean Value Theorem cannot be applied, explain why not.f(x) = x^3 + 2x, [-1,1] BEST ANSWER GETS BRAINLIESTWhich statement is true about a euglena, paramecium, and amoeba?A. They use different structures to control cell activity.B. They all make their own food by photosynthesis.C. They all have eyespots to sense light.D. They use different structures for movement. How did Japan's government change the country during the MeijiRestoration?A. It promoted Western-style economic and educational systems.B. It passed laws banning Japanese from practicing Christianity.c. It modernized the Japanese military in order to attack Europeans.D. It established colonial plantations throughout Asia and LatinAmerica. Is the housekeeping satisfactory? 1. The adjective seminal refers to the seminal vesicle.TrueFalse2. The spirochete Treponema pallidum causes syphillis.TrueFalse What if the action potential never rest or not stopping? Some real-life examples of a person and what are the consequences? Which of these lists shows the elements or parts of a plot?events, resolution, problemproblem/conflict, characters, actionevents, suspense, charactersproblem/conflict, events, resolution 1. Health is a state of complete physical, mental and social well-being andnot just the absence of disease or infirmity. What was the most important reason why Herefords became a popular breed of cattle in Oklahoma?A.They could travel longer distances than other breeds.B.They were stockier and bulkier than other breeds.C.They could be bought and sold at lower prices than other breeds.D.They were smaller and more mobile than other breeds. Will mark as brainless if you answer correctly Please help! ASAP!! ILL GIVE BRAINIEST Simplify the expression: 3(q + 11) - 4 Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours? 18. Which product is greater. (-4)-(-6) or(-7).(-8)? Explain. On another day, Martin bought 1235 pounds of grapes for a picnic. His friend bought 38 of that amount. Use compatible fractions to estimate how many pounds of grapes Martins friend bought.123538Martin's friend bought about pounds of grapes. What is 6:44 in spanish Confucianism teaches filial piety. What does this mean?A.Elders should respect and obey the young.B.The young should not interact with their elders.C.Elders should be strict with the young.D.Theyoung should respect and obey their elders. -413.4=-15.9n please help