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2 years ago

Solve absolute value equation. Check for extraneous solution. |2x-3|=2x-1. Post it into the drop box for the unit 2 review.

1 answer:

6 0

let's keep in mind that, an absolute value expression is in effect a piecewise one, since it has a ± versions of it.

$\bf |2x-3|=2x-1\implies \begin{cases}+(2x-3)=2x-1\\-(2x-3)=2x-1\end{cases}\\\\[-0.35em]~\dotfill\\\\+(2x-3)=2x-1\implies 2x-3=2x-1\implies -3 \ne -1\impliedby extraneous\\\\[-0.35em]~\dotfill\\\\-(2x-3)=2x-1\implies 2x-3=-2x+1\implies 4x=4\\\\\\x=\cfrac{4}{4}\implies x=1$

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amid [387]

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2 years ago

Each friend received 5/4 of a pound of berries, how many friends are sharing berries?

Rudiy27

Answer:

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

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2 years ago

Molybdenum rods are produced by a production line setup. It is desirable to check whether the process is in control, i.e. equal

ikadub [295]

Answer: Test statistic = -8 and rejected region is (-∞,-1.966) and (1.966, ∞)

Step-by-step explanation:

Since we have given that

X is the length of a rod.

Sample Mean = 2 inches

Standard deviation = 0.5 inches

n = 400

Hypothesis are

$H_0:\mu=2.2\\\\H_1:\mu\neq 2.2$

Test statistics would be

$t=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}}\\\\t=\dfrac{2-2.2}{\dfrac{0.5}{\sqrt{400}}}\\\\t=-8$

Degrees of freedom = n-1 =400-1 =39

and $\alpha =0.05\\\\\dfrac{\alpha }{2}=\dfrac{0.05}{2}=0.025$

Using the t-distribution table, we get that critical value z = 1.966

Since the two tail test will be applied to this,

So, the acceptance region will be (-1.966, 1.966)

Hence, the rejected region will be (-∞,-1.966) and (1.966, ∞)

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2 years ago

A triangle has sides with lengths of 4 yards, 6 yards, and 8 yards. Is it a right triangle?

Luda [366]

Answer:

It is not

Step-by-step explanation:

If you pythagores- a^2+b^2=c^2

You will get 4^2+6^2=8^2

16+36=64

52=64

This is not true

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2 years ago

Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours.Which statement is true about the pro

Ray Of Light [21]

<span>c. Peter walks at a rate of 13/4 miles per hour.</span>

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3 years ago

Read 2 more answers