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3 years ago

Solve the absolute value equation.12 + 2x[ = [x - 6]

Mathematics

1 answer:

Tom [10]3 years ago

6 0

Answer:

x=−18

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12+2x=x−6

12+2x=x+−6

2x+12=x−6

Step 2: Subtract x from both sides.

2x+12−x=x−6−x

x+12=−6

Step 3: Subtract 12 from both sides.

x+12−12=−6−12

x=−18

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2 years ago

In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at l

svetoff [14.1K]

Answer: (0.25,0.33)

Step-by-step explanation:

A 99% confidence interval for population proportion is given by:-

$\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where $\hat{p}$ = sample proportion, $n$ = sample size.

Given: $n=1025, \hat{p}=0.29$

A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:

$0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)$

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3 years ago

5|2x - 3| + 4 = 9<br> How do you solve this

agasfer [191]

Answer:

x = 2, or x = -1

Step-by-step explanation:

If 2x - 3 is inside the parenthesis (), then the value of x is 2.

If 2x - 3 is inside the absolute value sign, then the value of x will probably be -1.

<u>Solution 1</u>

(10x-15) + 4 = 9

10x -11 = 9

10x = 20 -> x = 2

<u>Solution 2</u> (Not 100% sure)

|10x -15| +4 = 9

10x + 15 +4 = 9

10x + 19 = 9

10x = -10 -> x = -1

Please correct me if I'm wrong.

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3 0

3 years ago

Solve the absolute value equation.12 + 2x[ = [x - 6]​

Solve the absolute value equation.12 + 2x[ = [x - 6]