Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided to submit your solution.

(6, 1) and (5, 4)

Answers

Answer 1

Answer:

y = -3x + 19

Step-by-step explanation:

Slope , m , =  (y1-y2) / (x1-x2) = (1-4)/(6-5) = - 3

y = -3 x + b     <======= sub in one of the points to calculate 'b'

4 = -3(5) + b

b = 19

y = -3x + 19    


Related Questions

a shoe store uses a 60% markup for all the shoes it sells what would be the selling price of a pair of shoes as a wholesale cost of $51​

Answers

Answer:

81.60 is your selling price

Step-by-step explanation:

60% = 0.60

0.60 x 51 = 30.60

51 + 30.60 = 81.60

The selling price of shoes after a markup of 60% of the price will be equal to $81.60.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

The wholesale price of shoes = $51

There is a markup of 60% on every shoe.

Then the price of shoes will be,

$51 + $51 × (60/100)

$51 + 30.6

= $81.60

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Select the correct answer.
Solve the following equation for x.

x2 - 36 = 0

A.
x = 1; x = -36
B.
x = -1; x = 36
C.
x = -6; x = 6
D.
x = -18; x = 18

Answers

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

The answer is D for this one

Tom is going to the fair in town​

Answers

Answer:

ok cool

Step-by-step explanation:

Answer: You didn't finish the question... O_O

can someone help me i will give brainlest

can someone help me i will give brainlest

Answers

Answer:

(48, 3), (80, 5), (160, 10)

10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2 ​

Answers

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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6/9 is a rational number. Select all the rational numbers that are equivalent to 6/9

Answers

Answer:

There will be lots

Step-by-step explanation:

It is actually infinite.

Help!!!!!!! solve the inequality

Help!!!!!!! solve the inequality

Answers

Answer:

25≥ w

i dont have the inquality sign

Step-by-step explanation:

multiply both sides by 5/4

After a 75% reduction, you purchase a new clothes dryer for $200. What was the original price of the clothes dryer?

Answers

Answer:

$800

Step-by-step explanation:

Let the original price be $x.

75% reduction ----- 100% -75%= 25%

25%x= 200

\( \frac{25}{100} x = 200 \\ x = 200 \div \frac{25}{100} \\ x = 200 \times \frac{100}{25} \\ x = 800\)

Thus, the original price of the clothes dryer is $800.

Answer:

$800

Step-by-step explanation:

Let the original price be x.

Final price=100%-75%

                  =25%

x-75%=200

x=200 x 100/75

x=8 x 100

x=800

Thank you!

Which of the following is NOT used for calculating slope.
(y-y)/(x-x)
Y/x
change in y over the change in x
right triangle on a graph
rise/run
(x-x)/(y-y)
Delta y over Delta X

Answers

Answer:

(x-x)/(y-y)

Step-by-step explanation:

Slope is defined by the change in y divided by the change in x, not the change in x divided by the change in y.

An office manager needs to cover the front face of a rectangular box with a label for shipping. The vertices of the face are (–5, 8), (3, 8), (–5, –4), and (3, –4). What is the area, in square inches, of the label needed to cover the face of the box?

96 in2
48 in2
40 in2
20 in2

Answers

The area of rectangle is 96in2 which is option A.

Area of rectangle calculation.

To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.

The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.

The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.

Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.

So the answer is 96 in².

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Which of the following is the best first step to convert the following equation to slope
intercept form?
2-4y =-12

Answers

Answer: y=7/2 in decimal form 3.500

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2-4*y-(-12)=0

Pull out like factors :

  14 - 4y  =   -2 • (2y - 7)

  Solve  :    2y-7 = 0  

Add  7  to both sides of the equation :  

                     2y = 7

Divide both sides of the equation by 2:

                    y = 7/2 = 3.500

Last year, the student population at Haley Elementary School was 360 students. After rezoning this year, the student population is 10% smaller. HOW MANY STUDENTS ATTEND HALEY ELEMENTARY THIS YEAR?

Answers

Answer: 324

Step-by-step explanation: 10% is the same as 1/10

360/10 is 36

360-36= 324

meaning 324 students now attend Haley elementary school <3

hope this helps <33

2(x+7)+3(x+1) what is the answer

Answers

Answer:

5x + 17

Step-by-step explanation:

To answer this question, we must first simplify:

2 (x + 7) + 3 (x + 1) = 2x + 14 + 3x + 3

Then, we have to combine like terms:

2x + 14 + 3x + 3 = 5x + 17

And there is our answer, 5x + 17

Hope this helps ! :)

the answer is actually 81

Answers

Answer:

okay i'll keep this in mind

Step-by-step explanation:

i, too, believe the answer is 81. this is because eighty-one is equivalent to 81. additionally, 80+1=81.

5. What are the first five terms in the recursive sequence defined by the following?
a1 = 1
a₂ = 1
an = an-2+ An-1
(2, 3, 5, 8, 13)
(1, 1, 0,-1,-1)
(1,-1,2,-3, 5)
(1, 1, 2, 3, 5)

Answers

the first five terms of the sequence are (1, 1, 2, 3, 5). Option (d) correctly identifies this as the answer.

The problem provides a recursive sequence defined by the formula an = an-2 + an-1, where a1 = 1 and a2 = 1. We are asked to find the first five terms of this sequence.

To find the second term, we can use the formula and substitute n = 3:

a3 = a1 + a2 = 1 + 1 = 2

To find the third term, we can use the formula and substitute n = 4:

a4 = a2 + a3 = 1 + 2 = 3

To find the fourth term, we can use the formula and substitute n = 5:

a5 = a3 + a4 = 2 + 3 = 5

To find the fifth term, we can use the formula and substitute n = 6:

a6 = a4 + a5 = 3 + 5 = 8

Finally, to find the sixth term, we can use the formula and substitute n = 7:

a7 = a5 + a6 = 5 + 8 = 13

Therefore, the first five terms of the sequence are (1, 1, 2, 3, 5). Option (d) correctly identifies this as the answer.

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what is the difference between 42°c and ¬5°c

Answers

Answer:

47° c

Step-by-step explanation:

using the absolute value function to find the difference, that is

difference = | 42 - (- 5) | = | 42 + 5 | = | 47 | = 47

or

difference = | - 5 - 42 | = | - 47 | = 47

help me please help this is for math

help me please help this is for math

Answers

Answer: $160.00

Step-by-step explanation:

If i am wrong please tell me

A recipe for strawberry punch calls for 3/7 qt of ginger ale and 1/7 qt of strawberry soda. How much liquid is​ needed?
If the recipe is​ doubled, how much is​ needed?
If the recipe is​ halved, how much is​ needed?

Answers

Answer:4.7 qt of liquid is needed. If doubled, 8/7 qts of liquid is needed. if halved, 2/7 qts of liquid is needed.

Step-by-step explanation:

Add the two amounts of liquid to get the total amount of liquid:

1/7 qt + 3/7 qt = 4/7 qt (cannot be simplified further)

To double the recipe, multiply the total liquid amount by 2.

4/7 * 2/1 = 8/7

To half the recipe, multiply the total liquid amount by 1/2.

4/7 * 1/2 = 4/14 --> 2/7

The radioactive substance cesium-137 has a half-life of 30 years. The amount A (r) (in grams) of a sample of cesium-137 remaining after t years is
given by the following exponential function.
A (t)-266 6 (1) 10
Find the initial amount in the sample and the amount remaining after 50 years.
Round your answers to the nearest gram as necessary.
Initial amount:
Amount after 50 years:

Answers

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Use intercepts to graph the linear equation -4x+3y=-30 .

Use intercepts to graph the linear equation -4x+3y=-30 .

Answers

Answer:

See below

Step-by-step explanation:

Y-intercept

-4x + 3y = -30

-4(0) + 3y = -30

3y = -30

y = -10

(0, -10)

X-intercept

-4x + 3y = -30

-4x + 3(0) = -30

-4x = -30

x = 15/2

x = 7.5

(7.5,0)

After plotting the intercepts, connect them with a line to get your equation

Use intercepts to graph the linear equation -4x+3y=-30 .

Suppose that in a large metropolitan area, 85% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of households in a group of six households from this area that have cable tv. For what proportion of groups will exactly four of the six households have cable tv?

Answers

Solution :

Let X denotes the number of the households tha have a cable TV.

Percentage of household that have a cable TV = 85 %

\($X \sim \text{Binomial}(6, 0.85)$\)

Here, we can see that each of the observations is independent and the number of the observations is fixed, n.

The probability of the success P is the same for each of the outcomes.

Therefore,

\(P(X=4)= \binom{6}{4}0.85^40.15^2\)

               = 0.08324

2
Show instructions
Questions 1-2 of
Question 1 (1 point)
2
1
Daniel uses 3 cup of orange juice for every 2 cup of carrot juice to make his drink.
Enter the number of cups of orange juice Daniel uses for 1 cup of carrot juice.
Enter answer as an improper fraction (ex. 7/3) or mixed number (ex. 2 1/3).
Daniel uses
cups
of orange juice for 1 cup of carrot juice.
Blank 1:
Hi

Answers

Answer:

The answer is _______

Step-by-step explanation:

Find value of x in trapezoid

Find value of x in trapezoid

Answers

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

Supplementary angles

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

<95141404393>

Please help me and quick!!
Question is down below
⬇️

Please help me and quick!!Question is down below

Answers

Answer:

y= 9.5x

Step-by-step explanation:

don't hate me if I'm wrong. divide 19 by 2 to get the amount of money earned per hour.

Mrs. Aldridge spilled coffee on her Answer Key and can't see the width of
the rectangle anymore. What would be the width of a rectangle with the
given area (shown in image below)?
x +9
x² + 11x + 18

(My answer is a guess so please show your work if you answer this question!)

thank you:)

Mrs. Aldridge spilled coffee on her Answer Key and can't see the width ofthe rectangle anymore. What

Answers

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84

Answers

Answer:

its c or 83 bc you add them all together then divide by the amount of grades he has in total

answer: (C) 83

explanation: 70+89+91+82= 332/4(all together) would be 83

What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?

y+4=−911(x−8)

y+4=−15(x−8)

y−4=−15(x+8)

y−4=−911(x+8)

Answers

Answer:

y-4=–911(x+8)

please mark as brainliest

Answer:y-4=–911(x+8)

Step-by-step explanation:

This is the correct answer i do k12

searched everywhere but can't find the answer for this one question, help por favor​

searched everywhere but can't find the answer for this one question, help por favor

Answers

Answer:

Step-by-step explanation:

30.8%

Explanation- Did the maths

f(x) = x³ + 2x - 1, a = -4
(f⁻¹)′( - 4) = ?

Answers

Recall the inverse function theorem. If \(f\) is invertible and differentiable in all the right places, then

\(f^{-1}\bigg(f(x)\bigg) = x \\\\ ~~~~~~~~ \implies \left(f^{-1}\right)'\bigg(f(x)\bigg) f'(x) = 1 \\\\ ~~~~~~~~ \implies \left(f^{-1}\right)'\bigg(f(x)\bigg) = \dfrac1{f'(x)} \\\\ ~~~~~~~~ \implies \left(f^{-1}\right)'(x) = \dfrac1{f'\left(f^{-1}(x)\right)} \\\\ ~~~~~~~~ \implies \left(f^{-1}\right)'(-4) = \dfrac1{f'\left(f^{-1}(-4)\right)}\)

Solve for \(x\) such that \(f(x)=-4\).

\(x^3 + 2x - 1 = -4 \\\\ x^3 + 2x + 3 = 0 \\\\ (x + 1) (x^2 - x + 3) = 0\)

\(x^2-x+3=0\) has non-real solutions, so we're left with

\(x+1 = 0 \implies x = -1\)

Then we have

\(f(-1) = -4 \implies f^{-1}(-4) = -1 \implies \left(f^{-1}\right)' (-4) = \dfrac1{f'(-1)} = \boxed{\dfrac15}\)

since

\(f(x) = x^3 + 2x - 1 \implies f'(x) = 3x^2 + 2 \implies f'(-1)=5\)

5000 jums for 7 hours

Answers

Answer:

do you mean jumps? and if so thts alot of exersize i dont understand how im solving

Step-by-step explanation:

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