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3 years ago

3x + 1 + 5x = 7 +15 + 7x

2 answers:

6 0

3x + 1 + 5x = 7 +15 + 7x

Move unknown terms to the left of the equal with changed sign and the known terms to the right of the equal with changed sign.

3x + 5x - 7x = 7 + 15 - 1

x = 21

Lelu [443]3 years ago

3 0

Combine like terms on each side of the equation...

8x+1=7x+22 subtract 1 from both sides

8x=7x+21 subtract 7x from both sides

x=21

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Answer: ∞

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2 years ago

In the song, 25 percent of the class weighed less than 6 pounds, 1 ounce at birth. 6 pounds, 1 ounce is the

Semenov [28]

Answer:

Step-by-step explanation:

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2 years ago

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Solve each equation (quadratic pattern)

dusya [7]

Answer: x = 2

Step-by-step explanation:

$2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}$

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Answer: x = 0

Step-by-step explanation:

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

Step-by-step explanation:

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$

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Answer: No Solution

Step-by-step explanation:

$9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}$

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2 years ago

Kim scored 33 points at her basketball game game with a combination of 2-point shots and 3-point shots. If she made a total of 1

Rudik [331]

Answer:

(12, 3)

Step-by-step explanation:

write the equation:

if x = number of 2 point shots

and y = number of 3 point shots

2x + 3y = 33

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x + y = 15

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(12, 3)

she made 12 2-point shots and 3 3-point shots

3 0

3 years ago

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In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,

DochEvi [55]

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

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3 years ago

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