All categories

3 years ago

8m^3 - 28m^2 + 6m - 21. You solve by factoring by grouping!!! quick please

Mathematics

1 answer:

Leya [2.2K]3 years ago

4 0

Answer:

$(2m - 7)(4 {m}^{2} + 3)$

Step-by-step explanation:

$8m^3 - 28m^2 + 6m - 21 \\ = 4 {m}^{2} (2 {m} - 7) + 3(2m - 7) \\ = (2m - 7)(4 {m}^{2} + 3)$

You might be interested in

Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r

kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours) Dinghy Rowboat Labor Available

Metal Work 2 3 120

Painting 2 2 110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = $2x+3y$

So, total hours for Painting = $2x+2y$

So, equation becomes:

$2x+3y\leq 120$

$2x+2y\leq 110$

$x\geq 0$

$y\geq 0$

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0

3 years ago

According to the United States Health and Human Services, the mean height for Americans is 1.757 meters for men and 1.618 meters

Alchen [17]

Answer:

Her z-score is 2.03.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

Michelle’s height is 1.758 meters. What is her z-score?

Michelle's is a woman.

The average height of women is $\mu = 1.618$ and the standard deviation is $\sigma = 0.069$

This is Z when X = 1.758. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.758 - 1.618}{0.069}$

$Z = 2.03$

Her z-score is 2.03.

7 0

3 years ago

Kayla has a standard deck of 52 cards and a six-sided die. What is the probability that she will pull a diamond from the deck of

gayaneshka [121]

Probability( Pulling a diamond) = 1/4
Propability(Rolling a 1) = 1/6

The 2 events are independent so the probabilities are mulitplied:-

Required probability = 1/4 * 1/6 = 1/24 Answer

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME... THIS IS LATE WORK.... 57 percent of 109 is what number??

Fiesta28 [93]

Writing out 109 * .57 (57 percent) will give you 62.13

8 0

4 years ago

Read 2 more answers

A basketball player scored 24 times during one game. She scored a total of 41 points, two for each two-point shots and one for e

PilotLPTM [1.2K]

Answer:

Number of points shoot, x=17

Number of free shoot, y=7

Step-by-step explanation:

Let us consider,

point shoot as x

free shoot as y.

Question say " A basketball player scored 24 times during one game "

Therefore, Number of point shoot + Number of free shoot = 24

Numerically we get,

x+y=24

Now, Free shoot gives one point and point shoot gives two points.

She scored total of 41 points.

2x+y=41

we get two equations

x+y=24

2x+y=41

By solving above linear equations...

we can write, y=24-x

replacing y value in 2x+y=41

2x+24-x=41

x=17

To find value of y, replace x vaule in any equation

say, x+y=24

17+y=24

y=7

Thus, x=17 and y=7

Number of points shoot, x=17

Number of free shoot, y=7

7 0

3 years ago

Read 2 more answers