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Alex17521 [72]
3 years ago
6

What is the answer for 7x + 14 ?

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0
You can't solve for x based on this, but if you are talking about simplify it.
You should get 7(x+2)
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Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2. ​
insens350 [35]

Answer:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

Step-by-step explanation:

Given

p(x) = \frac{x^2-2x-3}{x+2} -- Missing from the question

Required

The behavior of the function around its vertical asymptote at x = -2

p(x) = \frac{x^2-2x-3}{x+2}

Expand the numerator

p(x) = \frac{x^2 + x -3x - 3}{x+2}

Factorize

p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}

Factor out x + 1

p(x) = \frac{(x -3)(x + 1)}{x+2}

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

x -> -2^{-} Say x = -3

p(x) = \frac{(x -3)(x + 1)}{x+2}

p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

x->-2^{-}, p(x)->-\infty

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: x>-2

Say x = -2.1

p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

x->-2^{+}, p(x)->-\infty

So, the behavior is:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

6 0
3 years ago
How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that the remaining solution c
jok3333 [9.3K]

Answer:

20 gallons

Step-by-step explanation:

10 gallons of solution w/ 15% juice means 1.5 gal of juice

to make it into 5%, multiply 1.5 by 20

1.5 x 20 = 30

5% of 30 gallons is 1.5 since 10% of 30 is 3.

Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.

I hope this helps thanks

6 0
3 years ago
Given the probabilities for independent events A and
Mariana [72]

Answer:

P(A and B) = 0.2

Step-by-step explanation:

P(A and B) = P(A) * P(B) = 0.5 * 0.4 = 0.2

8 0
3 years ago
ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
cestrela7 [59]

the answer is 1/10 :))))))))

7 0
2 years ago
Read 2 more answers
When a​ car's tire pressure is 30 pounds per square inch​ (psi), it averages 20.5 mpg of gasoline. If the tire pressure is incre
bearhunter [10]

For A, divide total miles by the miles per gallon for each tire pressure to find the number of gallons of gas used:

At 30 psi: 23000 / 20.5 = 1121.95 gallons , round to 1121 gallons.

At 35 psi: 23000 / 21.1 = 1090 gallons.

Number of gallons saved: 1121 - 1090 = 31 gallons.

B) multiply the cost per gallon by the number of gallons saved:

31 gallons x $2.00 = $62.00 saved.

C) Multiply the gallons saved by 1 car by total number of cars:

31 gallons x 140 million cars = 4,340 million gallons ( 4 billion 340 million gallons)

8 0
3 years ago
Read 2 more answers
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