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notsponge [240]
3 years ago
9

Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work. |4x+3| = 9+2x

Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer:

Step-by-step explanation:

|4x + 3| = 9 + 2x

We see the absolute value so we have to consider 2 cases:

(1)

4x + 3 = -9 - 2x

6x = -12

x = -2

(2)

4x + 3 = 9 + 2x

2x = 6

x = 3

Let's plug in both results.

|4(-2) + 3| = 9 + 2(-2)

|-5| = 9 - 4

5 = 5

Therefore x = -2 is a solution

|4(3) + 3| = 9 + 2(3)

|15| = 9 + 6

15 = 15

Therefore x = 3 is also a solution.

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Step-by-step explanation:

4 0
3 years ago
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A rectangular parking lot is 75 feet wide and 150 feet long. The owner wants to increase the width by 100 feet. What is the appr
Trava [24]

The <em>approximate increase</em> in Area of the parking lot is about 133%

Area of a rectangle = Length × width

<u>Initial Area of parking lot</u> :

  • 75 feets × 150 feets = 11250 ft²

<u>New Area of parking lot</u> :

Width = 75 + 100 = 175 feets

Length = 150 feets

Area = 175 × 150 = 26250 ft²

<u>Percentage increase in </u><u>Area</u><u> </u><u>of lot</u> :

((16250 - 11250) / initial Area) × 100%

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Therefore, the <em>approximate increase</em> on area of lot is 133%

Learn more : brainly.com/question/18109354

5 0
3 years ago
A sample of 2,000 people yielded P(hat) = .52. What is the variance of the population proportion?
lys-0071 [83]

Answer:

d. .00012 or 0.00012

Step-by-step explanation:

The variance of the population proportion formula is given as:

p(1 - p)/n

Where n = sample size

p = population proportion or p(hat)

n = 2000 people

p = 0.52

Variance of the population proportion = 0.52(1 - 0.52)/ 2000

= 0.52 × 0.48 /2000

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Therefore the Variance of the population proportion is approximately = 0.00012

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Answer:

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