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3 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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WILL GIVE BRAINLIEST !!!

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Answer: 500k

Step-by-step explanation:

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2 years ago

Read 2 more answers

What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter

n200080 [17]

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

$Area = \frac{\alpha }{360} * \pi r^2$

Where $\alpha$ represents the central angle and r represents the radius

By substituting $\alpha = 120$ and r = 3

$Area = \frac{\alpha }{360} * \pi r^2$ becomes

$Area = \frac{120}{360} * \pi * 3^2$

$Area = \frac{1}{3} * \pi * 9$

$Area = \pi * 3$

$Area = 3\pi$ square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for $\pi$

So, $Area = 3\pi$ becomes

$Area = 3 * 3.14$

$Area = 9.42$ square units

Hence, the area of the sector in the attached figure is $3\pi$ or 9.42 square units

8 0

3 years ago

What is the circumference of the semicircle in this figure? Express your answer in feet.

Aleksandr-060686 [28]

Diameter of the semicircle: D=6 yd*(3 ft / 1yd)→D=18 ft
Circumference of the semicircle: C=pi*D/2
C=pi(18 ft)/2
C=9pi ft
pi=3.14
C=9(3.14) ft
C=28.26 ft

Answer: Fourth option 28.26 ft

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3 years ago

HELP PLEASE <br><br><br> Simplify.

maksim [4K]

Simplifying
2x + -3(3 * 0.6x + 2.7)

Multiply 3 * 0.6
2x + -3(1.8x + 2.7)

Reorder the terms:
2x + -3(2.7 + 1.8x)
2x + (2.7 * -3 + 1.8x * -3)
2x + (-8.1 + -5.4x)

Reorder the terms:
-8.1 + 2x + -5.4x

Combine like terms: 2x + -5.4x = -3.4x
-8.1 + -3.4x

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3 years ago

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam

Dvinal [7]

Answer:

Advance = $25

Same Day = $40

Step-by-step explanation:

I attached my work, hopefully it is clear. Same day tickets cost $40 and Advance tickets cost $25.

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3 years ago