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2 years ago

Given the rational expressions 7/(x ^ 2 - 12) and (2x - 1)/(x + 2) which of the following is true?

Mathematics

1 answer:

goldenfox [79]2 years ago

3 0

Answer:

option C

Step-by-step explanation:

$\frac{\frac{2x-1}{x+2}}{\frac{7}{x^{2}-12}}=\frac{2x-1}{x+2}*\frac{x^{2}-12}{7}\\\\\\=\frac{(2x-1)(x^{2}-12)}{7(x+2)}$

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Can you please help me

IRISSAK [1]

Answer:

Step-by-step explanation:

1. HI // KL , J is midpoint of HL 1. Given

2. ∠IHJ ≅ ∠JLK 2. Alternate interior angles are congruent

3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles

4. HJ ≅ JL 4. Given

5. ΔHIJ ≅ ΔLKJ 5. A S A congruent

(Angle Side Angle)

3 0

2 years ago

Find the value of x when y equals -7.<br>2(3x - 7) = 9y

Ber [7]

Hey there!

2(3x - 7) = 9y

2(3x - 7) = 9(-7)

2(3x - 7) = -63

2(3x) + 2(-7) = -63

6x - 14 = -63

ADD 14 to BOTH SIDES

6x - 14 + 13 = -63 + 13

SIMPLIFY IT!
6x = -63 + 13

6x = -49

DIVISION 6 to BOTH SIDES

6x/6 = -49/6

SIMPLIFY!
x = -49/6

x = -8 1/6

Therefore, the answer should be:

x = -8 1/6 (or x = -49/6 [EITHER OF THOSE SHOULD BE YOUR RESULT BECAUSE THEY ARE BOTH EQUAL TO EACH OTHER])

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

3 0

2 years ago

Read 2 more answers

Complete the equation of this line in slope-intercept form y= _x-1

Andre45 [30]

Answer:

it will be 3 hope that helps

4 0

2 years ago

Adam is 12 years old. His sister Linda is one year less than 3 times his age. What is Linda’s age?

Len [333]

3a - 1 = 12
+1 +1
—————-
3a = 13
—- ——
3 3
—————
A=4 1/3

4 0

3 years ago

People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, resear

Alborosie

Answer:

Step-by-step explanation:

Hello!

Research.

n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.

18, 23, 24, 22, 19, 27, 23, 26, 25

Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.

a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.

b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:

H₀: μ = 20

H₁: μ ≠ 20

This is a two-tailed test, meaning, you will have two critical regions.

α: 0.05

Left critical value: $t_{n-1;/\alpha 2} = t_{8; 0.025}= -2.306$

Right critical value: $t_{n-1;1-\alpha /2} = t_{8;0.975} = 2.306$

$t_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}$

X[bar]= 23

S= 3

$t_{H_0}= \frac{23-20}{\frac{3}{\sqrt{9} } }= 3$

Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.

I hope it helps!

7 0

2 years ago