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natima [27]
3 years ago
8

Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in

your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Mathematics
1 answer:
k0ka [10]3 years ago
8 0
The point-slope form can be simplified from the 2-point form.

y +4 = (-4-2)/(1-(-8))*(x -1) . . . . 2-point form
y +4 = -6/9(x -1)
y +4 = -2/3(x -1) . . . . . point-slope form

_____
Above is the usual form associated with the term "point-slope form." I prefer a form with the y-value of the point added to both sides:
.. y = -2/3(x -1) -4

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3. The minimum payment on a credit card is based on the total amount owed. A credit card company uses
shutvik [7]

Answer:

The answer is below

Step-by-step explanation:

The minimum payment on a credit card is based on the total amount owed. A credit card company uses the following rules: For a bill less than $20 the entire amount is due, for a bill of at least $20 but less than $500, the minimum due is $20. For a bill of at least $500 but less than $1000 the minimum due is $40 and for a bill of at least $1000 but less than $1500 the minimum due is $80 dollars. For a bill of $1500 or more the minimum due is 1/10th of the bill.

a. Write a function to describe the minimum payment due.  

b. What is the minimum payment due if the bill is $345?  

c. What is the minimum payment due if the bill is $1410?  

d. What is the minimum payment due if the bill is $1700?

Solution:

Let B represent the minimum due payment for a bill in dollars and let x represent the bill in dollars. Therefore:

For x < 20, B = x

For 20 ≤ x < 500, B = 20

For 500 ≤ x < 1000, B = 40

For 1000 ≤ x < 1500, B = 80

For x ≥ 1500, B = (1/10)x

a)

B(x)=\left \{ {{x\ \ \ x

b) For 20 ≤ x < 500, B = 20

Therefore if the bill is $345 (x = 345), the minimum payment due would be $20

c) For 1000 ≤ x < 1500, B = 80

Therefore if the bill is $1410 (x = 1410), the minimum payment due would be $80

d) For x ≥ 1500, B = (1/10)x

Therefore if the bill is $1700 (x = 1700), the minimum payment due would be $170 (1/10 * 1700)

7 0
3 years ago
Find the value of k such that lim--&gt;4 (x^2+x-k)/(x-4) exists
7nadin3 [17]

Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

6 0
2 years ago
6y^2-25y+14 factor <br><br> Help please
LUCKY_DIMON [66]

Answer:

(3y - 2)(2y - 7)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term

Product = 6 × 14 = 84 and sum = - 25

The required factors are - 4 and - 21

Use these factors to split the y- term

6y² - 4y - 21y + 14 ( factor the first/second and third/fourth terms )

2y(3y - 2) - 7(3y - 2) ← factor out (3y - 2) from each term

= (3y - 2)(2y - 7) ← in factored form

8 0
3 years ago
Find the sum. I need help.​
Artyom0805 [142]

Answer:

B

Step-by-step explanation:

Bbbbbbbbbbbbbbbbbbbbbbbbbb

6 0
3 years ago
Read 2 more answers
Need help look at picture. Will Mark Brainliest and only answer if your 100% sure.​
lina2011 [118]

Answer: 207

Step-by-step explanation:

4 0
3 years ago
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