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What is the difference? StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction
StartFraction x minus 1 Over 6 x + 4 EndFraction
StartFraction negative 1 Over 4 x + 2 EndFraction
StartFraction 1 Over x + 2 EndFraction
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction

Answers

Answer 1

Answer:

Answer:

The answer is option D.

Step-by-step explanation:

First we must first find the LCM

The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is

x² + 3x + 2

So we have

$\frac{x}{ {x}^(2) + 3x + 2 } - (1)/((x + 2)(x + 1)) \n \n = \frac{x - 1}{ {x}^(2) + 3x + 2 }$

Hope this helps you

Answer 2

Answer:

Answer:

The answer is OPTION D!

Step-by-step explanation:

HoPe ThIs HeLpS!

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Please Help !!!The line above goes through points (-5,5) and (0,3). What is the slope-intercept form of the equation of the line above? A. y = (-5/2)x - 3 B. y = (-2/5)x + 3 C. y = (-2/5)x - 3 D. y = (2/5)x + 3
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths. Base 1 1/2 feet, altitude 6 inches. Area = sq. ft. ...?

I need help with this problem, please help!!!

Answers

Answer:

Yes. (See below for explanation.)

Step-by-step explanation:

The number of servings is found by dividing the quantity available by the size of a serving. The quantity of punch is the sum of the quantities of the juices that go into the punch. The serving size of 3/4 cup is the same as 6 ounces, since a cup is 8 ounces. (3/4 × 8 oz = 6 oz)

The quantity available is (64 oz + 28 oz + 76 oz). The serving size is 6 oz. Since the units of numerator and denominator are the same, they cancel, leaving ...

... number of servings = (quantity available)/(serving size)

... = (64 +28 +76)/6 . . . . as shown in the problem statement

_____

It might not be obvious that the above ratio gives the number of servings. However, if you look at the real units, you see how it happens.

$(oz)/(((oz)/(serving)))= oz(serving)/(oz)=(oz)/(oz)serving=serving$

Hello, there are three questions and pictures of them in the links If you could solve them that would be awesome, thank you!

Answers

Answer:

1. 1 * $x^(3/6)$ = $x^(3/6)$ (it will be equal to the sixth root of x cube)

2. No, the expression $x^(3)$ X $x^(3)$ X $x^(3)$ will be equal to $x^(3 + 3 + 3 )$ since the powers of numbers with the same base are added

3. B and D 1/ $x^(-1)$ is the same as 'x'

as mentioned in the last answer, powers of numbers with same base are added. hence, option D will be $x^(3/3)$ which will be equal to x

Norma and Jane go to the store to buy stocking stuffers. Norma spends $8 more than Jane. Total, Norma and Jane spend $52. How much did each girl spend?

Answers

Answer:

Norma spent $30

Jane spent $22

Quadrilateral MBPV is similar to quadrilateral GKDF. BP = 78 mm, KD = 30 mm , and FD = 45 mm. What is VP? Enter your answer in the box □mm.

Answers

Answer:

VP = 117 mm

Step-by-step explanation:

Corresponding sides of similar quadrilaterals are proportional.

VP/FD = BP/KD

VP = FD·BP/KD = (45 mm)·(78/30) . . . . multiply by FD; fill in the givens

VP = 117 mm

In a poll conducted by the Gallup organization in April 2013, 48% of a random sample of 1022 adults in the U.S. responded that they felt that economic growth is more important than protecting the environment. We can use this information to calculate a 95% confidence interval for the proportion of all U.S. adults in April 2013 who felt that economic growth is more important than protecting the environment. Make sure to include all steps.

Answers

Answer:

The 95% confidence interval is $0.449 < p < 0.48 + 0.511$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.48$

The sample size is $n = 1022$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $(\alpha )/(2)$ from the z-table , the value is

$Z_{(\alpha )/(2) } =Z_{(0.05 )/(2) }= 1.96$

The reason we are obtaining critical value of $(\alpha )/(2)$ instead of $\alpha$ is because

$\alpha$ represents the area under the normal curve where the confidence level interval ( $1-\alpha$ ) did not cover which include both the left and right tail while $(\alpha )/(2)$ is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

$E = Z_{(\alpha )/(2) } * \sqrt{(\r p (1- \r p ))/(n) }$

substituting values

$E = 1.96* \sqrt{(0.48 (1- 0.48 ))/(1022) }$

$E = 0.03063$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

substituting values

$0.48 - 0.03063 < p < 0.48 + 0.03063$

$0.449 < p < 0.48 + 0.511$

I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of $176 for the project. What are the dimensions of the vegetable patch with the largest area I can enclose?

Answers

x = E/W dimension
y = N/S dimension

4x + 4x + 2y + 2y = 64
8x + 4y = 64
4y = 64 - 8x
y = 16 - 2x

Area = xy = x(16 - 2x) = 16x - 2x^2

Maximum of y = ax^2 + bx + c is when x = -b / 2a

so x = -16 / -4 = 4

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5 (8 4) = (5 × 8) + (5 × 4)

Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

Hmm can you help me solve god bless you

X2 + 16x – 2 = 111) Rewrite the equation by completing the square.Your equation should look like (x + c)2 = d or (x - c)2 = d.I+utanpls help