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3 years ago

Find an equation, in slope-intercept form, that passes through point (-3, -7) with slope -3.

2 answers:

5 0

Slope-intercept form is y = mx + b, and m is the slope
Because the slope is -3, m = -3
y = -3x + b

Plug in the point and solve for b
-7 = -3(-3) + b
-7 = 9 + b
-16 = b

a. y = -3x -16

FromTheMoon [43]3 years ago

5 0

The equation f a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given the point (-3,7) and slope m=-3

y-(-7)=-3(x-(-3))
y+7=-3(x+3)
solve for y
y+7=-3x-9
minus 7 both sides
y=-3x-16
A is answer

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Solve each equation

Gemiola [76]

Answer:

1. 2x=5

Divide both by 2, x=2.5

2. y+1.8=14.7

Subtract 1.8 from both sides to isolate the variable, x=12.9

3. 6=1/2z

Multiply each side by 2 to isolate the variable, 12=z

4. 3 1/4 = 1/2+w

Isolate the variable by subtracting 1/2 to both sides, 2 3/4 = w

5. 2.5t=10

Divide each side by 2.5 to isolate the variable, t=4

Step-by-step explanation:

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2 years ago

James is working out and has decided that for every 10 sit-ups he does, he needs to do 4 push-ups. If he does 120 sit-ups, how m

mario62 [17]

Answer:

480 is the answer

Step-by-step explanation:

120x4 is 480

4 0

3 years ago

If 10 people apply for 3 jobs in how many ways can people be chosen for the jobs. 1. If the jobs are all the same. 2. If the job

Crank

Answer:

1. 120 ways

2. 720 ways

Step-by-step explanation:

When the order is important, we have a permutation.

When the order is not important, we have a combination.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

1. If the jobs are all the same.

Same jobs means that the order is not important. So

3 from a set of 10.

$C_{10,3} = \frac{10!}{3!(10-3)!} = 120$

120 ways

2. If the jobs are all different.

DIfferent jobs means that the order matters.

$P_{(10,3)} = \frac{10!}{(10-3)!} = 720$

720 ways

6 0

3 years ago

The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dangina [55]

Answer:

A.0.4477

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 16.3, \sigma = 4.2$

What is the probability that a randomly selected exam will require between 14 and 19 minutes to grade?

This probability is the pvalue of Z when X = 19 subtracted by the pvalue of Z when X = 14. So

X = 19

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{19 - 16.3}{4.2}$

$Z = 0.64$

$Z = 0.64$ has a pvalue of 0.7389.

X = 14

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{14 - 16.3}{4.2}$

$Z = -0.55$

$Z = -0.55$ has a pvalue of 0.2912

0.7389 - 0.2912 = 0.4477

So the correct answer is:

A.0.4477

7 0

3 years ago

Simplify the expression and solve the equation. Show all calculations

melamori03 [73]

$\displaystyle\bf\\\sqrt{5p+5}=\sqrt{6p+3}\\\\ 5p+5=6p+3\\\\5p-6p=3-5\\\\-p=-2~\Big|\times(-1)\\\\\boxed{\bf p=2}\\\\\text{Verify:}\\\\\sqrt{5\times2+5}=\sqrt{6\times2+3}\\\\\sqrt{10+5}=\sqrt{12+3}\\\\\sqrt{15}=\sqrt{15}~~~~OK!$

4 0

4 years ago