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Harman [31]
3 years ago
9

If a function rule is 2x – 3, what is the output for the input 3?

Mathematics
2 answers:
anzhelika [568]3 years ago
6 0

Answer:

The function rule can be written as: f(x) = 2x-3

So, when  we input 3, we replace all of the x's for  3's and have: f(3) = 2(3)-3.

This simplifies to be: f(3) = 3, meaning that 3 is the output.

Hope this helps!

Alenkasestr [34]3 years ago
6 0

Answer:3

Step-by-step explanation:

The output value is y so set an equation at y=2x-3. Now x is the input value so plug in 3 for x. Two times three is 6 and then you have to subtract three from that. So the output value for an input of 3 is 3.

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8.88 dollars so D

Step-by-step explanation:

3 0
3 years ago
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Graph a linear function which has a rate of change equal to the average rate of change of function f on the interval [-1, 1]. Th
fomenos
<h2>Answer:</h2>

The linear function is given by:

       y=\dfrac{3}{2}x-\dfrac{7}{2}

<h2>Step-by-step explanation:</h2>

It is given that the rate of change of the linear function is equal to the average rate of change of function f on the interval [-1, 1].

The slope(m) or average rate of change of  the linear function will be:

m=\dfrac{f(1)-f(-1)}{1-(-1)}\\\\\\m=\dfrac{-2-(-5)}{1+1}\\\\\\m=\dfrac{-2+5}{2}\\\\\\m=\dfrac{3}{2}

and the linear function pass through (1,-2)

We know that the equation of a line with given slope m and passing through point (a,b) is given by:

Here (a,b)=(1,-2)

and m=\dfrac{3}{2}

Hence, the equation of linear function is:

y-(-2)=\dfrac{3}{2}\times (x-1)\\\\\\y+2=\dfrac{3}{2}x-\dfrac{3}{2}\\\\\\y=\dfrac{3}{2}x-\dfrac{3}{2}-2\\\\\\y=\dfrac{3}{2}x-\dfrac{7}{2}

4 0
3 years ago
Does 2x+4=3x+1/2 have one solution or more or none?
Contact [7]

Answer:

one solution the solution being ×=7/2

Step-by-step explanation:

one solution

3 0
3 years ago
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
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Answer:

We conclude that the valve performs above the specifications.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 6.3 pounds per square inch

Sample mean, \bar{x} = 6.5 pounds per square inch

Sample size, n = 130

Alpha, α = 0.02

Population standard deviation, σ = 0.8

First, we design the null and the alternate hypothesis

H_{0}: \mu = 6.3\text{ pounds per square inch}\\H_A: \mu > 6.3\text{ pounds per square inch}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{6.5 - 6.3}{\frac{0.8}{\sqrt{130}} } = 2.85

Now, z_{critical} \text{ at 0.02 level of significance } = 2.05

Decision rule:

If the calculated statistic is greater than the the critical value, we reject the null hypothesis and if the calculated statistic is lower than the the critical value, we accept the null hypothesis

Since,  

z_{stat} > z_{critical}

We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.

Thus, we conclude that the valve performs above the specifications.

3 0
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Answer:

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Step-by-step explanation:

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