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pishuonlain [190]
2 years ago
12

Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42

Mathematics
1 answer:
Sever21 [200]2 years ago
4 0

Answer:

y=-\frac{5}{6} + 7

Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

6y=-5x+42

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

y=-\frac{5}{6} + 7

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Maria is draining her hot tub at a rate of 5.5 gallons per minute. Is the amount of water left in the pool a function of the amo
AleksandrR [38]

The amount of water in the pool after t minutes is modeled by the linear function V(t) = V(0) - 5t, hence it is a function of time.

A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:

V(t) = V(0) - at

  • In which V(0) is the initial volume.

In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence a = 5.5, and:

V(t) = V(0) = 5.5t

Which is a function of time.

To learn more about linear functions, you can take a look at brainly.com/question/13488309

8 0
2 years ago
Find the product of x^2(4x-3)
TEA [102]

Answer:

4 x^3 - 3 x^2

Step-by-step explanation:

Expand the following:

x^2 (4 x - 3)

x^2 (4 x - 3) = x^2×4 x + x^2 (-3):

4 x^2 x - 3 x^2

x^2×4 x = x^(2 + 1)×4:

4 x^(2 + 1) - 3 x^2

2 + 1 = 3:

Answer: 4 x^3 - 3 x^2

8 0
3 years ago
Read 2 more answers
Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25
Alenkinab [10]

Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

Binomial probability distribution  

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

The parameters are:

n is the number of trials.

x is the number of successes.

p is the probability of success on a single trial.

In this problem:

62% say job applicants should follow up within two weeks, p = 0.62

25 managers are selected, n = 25

The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)

P( X > 18) = 1 -  ( X = 18)

= 1 - 0.62

= 0.38

38 % probability that exactly 18 of them say job applicants should follow up within two weeks.

Learn more about binomial distribution here:

brainly.com/question/13609688

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8 0
1 year ago
GIVING BRAINLIST ASAP
Paraphin [41]

Answer:

8%

Step-by-step explanation:

70.20−65.00=5.20

(5.20/65.00)×100=8

4 0
3 years ago
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Helppp meee pleaseeee!!!!
never [62]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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