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Vedmedyk [2.9K]
3 years ago
14

Write an equation for a translation 1 unit down and 5 units right of y=|x|. (y=[blank])

Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

Hence the corresponding equation of the given problem will be:

y'=|x-5|-1

Step-by-step explanation:

Let y' denote the corresponding equation after the translation of the given function y

We are given a equation of a function as:   y=|x|.

Now we have to write an equation such that there is a translation 1 unit down and 5 units right of y=|x|.

We know that for any function f(x) the translation 'a' units down is given by:

f(x)-a

And the translation 'b' units right of a function g(x) is given by:

g(x-b)

Hence the corresponding equation of the given problem will be:

y'=|x-5|-1



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n a car factory, 6 machines can make 6 wheels in 6 minutes. How long will it take 30 machines to make 30 wheels?
vitfil [10]

Answer:

If 6 machines make 6 wheels in 6 minutes, that means each of the machines must make 1  wheel in 6 minutes.  If you now consider 30 machines, and we know each of these 30 machines makes 1 wheel in  6 minutes, that means all 30 machines will make 30 wheels in 6 minutes.

Step-by-step explanation:

3 0
3 years ago
The ratio of boys to girls in a class is 2:3 if there are 18 girls in the class how many boys are there
nikklg [1K]

Answer:

  12 boys

Step-by-step explanation:

Multiply the ratio numbers by 6 and you have

  boys : girls = 2 : 3 = 12 : 18

There are 12 boys in the class.

4 0
4 years ago
What is 1/4 divided by 1/2, and create and solve a real-world word problem that uses the above division expression.
Gnoma [55]

Answer:

1/4 divided by 1/2 equals 1/2

Real-world problem:

A constructor official knows that he needs 1/2 sack of cement to produce 10 blocks of concrete for a wall. The official only has 1/4 of the sack left and want to know how many blocks he can produce with this material.

Step-by-step explanation:

Since you know that 1/2 of the sack is needed to make 10 blocks, you can use this information to find the number of blocks that 1/4 of a sack can make. The question you want to answer is:  

if \frac{1}{2} of a sack produces 10 blocks, how may blocks \frac{1}{4} of a sack can produce?

Using the Rule of Three you can solve

\frac{\frac{1}{4} }{\frac{1}{2}} =\frac{2}{4}=\frac{1}{2}

Now you know that 1/4 of a sack can produce 1/2 the number of blocks that 1/2 of the sack can produces, this means that you can produce 5 blocks of concrete.

8 0
3 years ago
HELP ME QUICK <br> Solve for w.<br> P=2w + 2t
Strike441 [17]

Answer:

w=p/2-t

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HighTech Inc. randomly tests its employees about company policies. Last year in the 560 random tests conducted, 26 employees fai
Tanzania [10]

Answer:

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

560 random tests conducted, 26 employees failed the test. This means that n = 560, \pi = \frac{26}{560} = 0.046

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.33.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 - 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.025

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 + 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.067

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

5 0
4 years ago
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