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11Alexandr11 [23.1K]
3 years ago
7

Write an equation for the translation of y = |x|. 13 units down

Mathematics
1 answer:
olga55 [171]3 years ago
7 0
The idea for transitions for an equation like this is
y = m|x - h| + k
where m = slope
h = how much left or right (note the negative)
k = how much up or down

moving 13 down would mean
k = -13

so
y = |x| - 13
D. would be your answer
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They take 5 days to drive 679 miles to Seattle, how many miles will they drive each day?
Kisachek [45]

If they take 5 days to drive 679 miles to Seattle. Then the number of miles that they drive each day will be 135.8 miles per day.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

They take 5 days to drive 679 miles to Seattle.

Then the number of miles that they drive each day will be

→ 679 / 5

→ 135.8 miles per day.

More about the speed link is given below.

brainly.com/question/7359669

#SPJ2

8 0
2 years ago
Read 2 more answers
Find the y-intercept of the line whose equation is 2x - 3y = -6.<br> 0-6<br> 02<br> 2/3
nexus9112 [7]
It would be 2/3 because you have to minus 2x on to the other side then you do-3 to -6 and -2x and you would get for your Y INTERCEPT would be 2/3
8 0
3 years ago
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Solve for x<br><br> 3(ax + 9) = -4 (-2 - 10x)
ivolga24 [154]

Answer:

19

-----   =   x

40-3a

Step-by-step explanation:

3(ax + 9) = -4 (-2 - 10x)

Distribute

3ax +27 = 8+40x

Subtract 3ax from each side

3ax-3ax +27 = 8+40x-3ax

27 = = 8+40x-3ax

Subtract 8 from each side

27-8 = 8-8+40x-3ax

19 = 40x-3ax

Factor an x on the right side

19 = x(40-3a)

Divide each side by 40-3a

19/(40-3a) = x(40-3a)/(40-3a)

19

-----   =   x

40-3a

8 0
3 years ago
Find the coordinates of k
marin [14]
If you plot the coordinates on a piece of graph paper your answer would come out too (1,-8)
4 0
3 years ago
A levee was designed to protect against floods with an annual exceedance probability of 0.02. A larger flood would cause the lev
LuckyWell [14K]

Answer:

66.76% probability that the levee will NEVER fail in the next 20 years.

Step-by-step explanation:

For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

In this problem we have that:

A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that p = 0.02

What is the risk that the levee will NEVER fail in the next 20 years?

This is P(X = 0) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}*(0.02)^{0}*.(0.98)^{20} = 0.6676

66.76% probability that the levee will NEVER fail in the next 20 years.

7 0
3 years ago
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