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Marat540 [252]
3 years ago
13

1. Write an equation in point-slope form for the line through the given point with the given slope. (5,2); m=3

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0
1) d , y-2=3(x-5)
2) d , y-5=-2/5(x-3)
forsale [732]3 years ago
6 0

Answer:

<h2>1) Option D is the correct answer.</h2><h2>2) Option A is the correct answer. </h2>

Step-by-step explanation:

1)Point slope form of line is given by

                 y-y₁ = m(x-x₁)

        (x₁,y₁) = (5,2) and m = 3

    Substituting    

              y-2 = 3(x-5)    

                  Option D is the correct answer.

2)Point slope form of line is given by

                 y-y₁ = m(x-x₁)

        (x₁,y₁) = (-3, -5) and m = -2/5

    Substituting    

              y-(-5) = -2/5(x-(-3))    

              y+5 = -2/5(x+3)

                  Option A is the correct answer.

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Given: -1/4x &gt; 4. Choose the solution set.
vampirchik [111]

Answer:

x < -16, none of the solution sets are correct for the given equation.

Step-by-step explanation:

-1/4x > 4, multiply both sides by -4, don't forget when you multiply or divide by a negative you have to flip the sign.

x < -16

none of the solution sets are correct for the given equation.

5 0
3 years ago
Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?
ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

A=P(1+\frac{r}{n})^{n*t}

where A= accrued value (principal plus the accumulated  interest)

P = principal -> in our case $6000

r = annual interest rate (in decimal form) -> in our case 0.06

n = number of compoundings per year. In our case 2 (semiannually)

t = time in years -> in our case 8

A=P(1+\frac{r}{n})^{n*t}\\A = 6000(1+\frac{0.06}{2})^{16}\\ A= 6000(1+0.03)^{16}\\A = $9628.24

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:

$9628.24 - $6000 = $3628.24

4 0
2 years ago
91. Jack can read 45 pages of his book in one and a
Digiron [165]

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

3 0
3 years ago
2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
Mashutka [201]

Answer:

11

Step-by-step explanation:

mode is the number that is most frequent

11

5 0
2 years ago
Read 2 more answers
Find the amount of simple interest:I=PxRxT<br><br> $1,600 at 3% for 1 year
nirvana33 [79]
I=PRT, P=$1600 R=3% T=1yr
=1600x(3/100)x1
= $48.00
4 0
2 years ago
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