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3 years ago

which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)

Mathematics

1 answer:

fomenos3 years ago

4 0

Answer:

A. x + y = 5

Step-by-step explanation:

The slope of the equation is equal for parallel lines,

; Slope = (-1)

;Use the formula

(y - y(coordinate of the given point)) = slope × [(x - x(coordinate of the given point)]

; y - 1 = (-1)(x - 4)

; y - 1 = -x + 4...then move the variable (x) to the left hand side and then move (-1) to the right hand side

; x + y = 4 + 1

; Hence,

; x + y = 5

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Remainder theorem: P(x) is a polynomial. Here are a few values of P(x):

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3 years ago

Write the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.

VikaD [51]

Answer:a) 1,2,6,24,120

Step-by-step explanation:

The formula for the nth term of the sequence is expressed as

n=(n+1)!/n+1

For the first term, n = 1. Therefore,

(1+1)!/(1+1) = 2!/2 = (2×1)/2 = 1

For the second tern, n = 2. Therefore,

(2+1)!/2+1 = 3! /3 = (3×2×1)/3 = 6/3 = 2

For the third term, n = 3, therefore

(3+1)!/3+1 = 4!/4 =(4×3×2×1)/4 = 6

For the fourth term, n = 4. Therefore

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For the fifth term, n = 5. Therefore

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4 0

2 years ago

Read 2 more answers

The bank agrees to give you a loan of

dusya [7]

<h3>Answer: Monthly Payment = $12,083.34</h3>

========================================================

Explanation:

i = P*r*t ... simple interest formula

i = (1,500,000)*(0.03)*(15)

i = 675,000

The amount of interest you need to pay is $675,000

The total amount to pay back is 1,500,000+675,000 = 2,175,000 dollars.

Divide this over 180 months (since 15 years = 15*12 = 180 months) to get

(2,175,000)/180 = 12,083.3333333333

This rounds up to the nearest cent to get 12,083.34

I rounded up to make sure to clear the hurdle. Note how

180*(12,083.33) = 2,174,999.4

which is a bit short of the 2,175,000 mark we're after

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2 years ago

Which of the following options have the same value as 30%, percent of 81? Choose 3 answers:

Mila [183]

30% is a way to express the fraction 30/100 = 3/10

So, 30% of 80 is

$80\cdot \dfrac{3}{10}=8\cdot 3 = 24$

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3 years ago