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2 years ago

How to solve 2(x+7)=-4x+14

Mathematics

1 answer:

Temka [501]2 years ago

8 0

Answer:

distribute the 2 on the left side to become 2(x+7)-->2x+14=-4x+14, add 4x to both sides to become 2x+14+4x=-4x+14+4x-->6x+14=14, subtract 14 from both sides 6x+14-14=14-14-->6x=0 and divide both sides of the equation by 6 to get x alone, 6x/6=0/6-->x=0 so x would equal 0.

Step-by-step explanation:

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Graph the line with slope 1/2 passing through the point (5, - 1)

True [87]

Answer:

The equation is y = (1/2)x + - 3.5

Step-by-step explanation:

We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.

We're given the slope, (1/2) which we can use for m:

y = (1/2)x + b

We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:

x = 5, and y= -1

y = (1/2)x + b

-1 = (1/2)*5 + b

-1 = (2.5) + b

- 3.5 = b

The equation is y = (1/2)x + - 3.5

See the attached image.

7 0

9 months ago

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

Naddik [55]

Answer:

P (X ≤ 4)

Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It does not find the probability for a range of successes, as in this case.

The range "x≤4" means x = 0 or x = 1 or x = 2 or x = 3 or x = 4, so there are five different probability calculations to do.

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are Mutually Exclusive. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

Therefore, the probability of x<4 successes is P (X ≤ 4)

3 0

3 years ago

Y - 5 = 3/2(x+2) using that for a fraction write an equation in sloped intercept form

Licemer1 [7]

In slope intercept form this is equal to y=3/2x+8. If you want it in decimal form it would be y=1.5x+8.

8 0

3 years ago

Tyler is offered to choose between three boxes that look identical. The first box contains 1 red pills and 19 blue pills, the se

Dafna1 [17]

Answer:

A) 0.15

B) 0.36

Step-by-step explanation:

First Box consist 1 red pills and 19 blue pills

second box consist 6 red pills and 14 blue pills

Third box consist 2 red pills and 18 blue pills

a) Prob ( randomly chosen pill is red) $= \frac{1}{3} \times \frac{1}{20} + \frac{1}{3} \times \frac{6}{20} + \frac{1}{3} \times \frac{2}{20}$

$\frac{1}{60} (1+6+2) = 0.15$

b)Prob ( 1 reds and 10 blue pilss) = $\frac{1}{3} \frac{^1C_1\times ^{19}C_{10}}{^{20}C_{11}} + \frac{1}{3} \frac{^6C_1\times ^{14}C_{10}}{^{20}C_{11}} + \frac{1}{3} \frac{^2C_1\times ^{18}C_{10}}{^{20}C_{11}}$

$= \frac{1}{3} 1.106 = 0.368$

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3 years ago

In the following picture ABCD ~ AEFG. Which equation can be used to find the value of x?

Strike441 [17]

Answer:
#1

Remember to match up letter

8 0

3 years ago

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