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Tpy6a [65]
3 years ago
11

What’s up solution should be used to rewrite 16(x^3+1)^2-22(x^3+1)-3=0

Mathematics
1 answer:
ladessa [460]3 years ago
3 0

Answer:

x = cuberoot( -9/8)= -1.04004  or  x = cuberoot(1/2)=0.7937

Step-by-step explanation:

let y = x^3 + 1

we have:

16*(y) ^2   -  22 (y)  - 3 = 0

16 = 2* 8

-3 = -3* 1

8*-3  + 2 = -24 + 2 = -22

Factor as  (8y + 1)(2y - 3) =  16 (y)^2 - 22(y) - 3 = 0

so  (8y + 1) = 0   or   2y - 3 = 0

y = -1/8   OR   y = 3/2

with  y = x^3 + 1

solve for x

-1/8 =  x^3 + 1

x^3 = - 9/8

x = cuberoot( -9/8)

about x = -1.04004

or   3/2 = x^3 + 1

1/2 = x^3

x =  cuberoot( 1/2 ) = 0.7937

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How do you solve this equation? x/2 - x = x/4 + 6
fenix001 [56]

Answer:

x= - 8

Step-by-step explanation:

multiply both sides by 4 to get rid of the fractions. you should then get:

2x-4x=x+24

then get all the x terms to one side by subtracting by x on each side:

2x-4x-x=24

then simplify:

-3x=24

divide by -3 on each side:

x= - 8

4 0
3 years ago
SOMEONE HELP ME PLEASE
jenyasd209 [6]

Answer: The median, because the data distribution is skewed to the left

EXPLANATION

Given the box plot with the following parameters: 

Minimum value at 11

First Quartile, Q1 at 22.5

Median at 34.5

Third Quartile, Q3 at 36

Maximum value at 37.5

First, we notice that the data distribution is skewed to the left because the median (34.5) is closer to the third quartile (36) than to the first quartile

(22.5).

Furthermore, we know that the mean provides a better description of the center when the data distribution is symmetrical while the median provides a better description of the center when the data distribution is skewed.

Therefore, we conclude that for the given box plot, the median will provide a better description of the center because the data distribution is skewed to the left.

4 0
3 years ago
You are given an original figure with coordinates B(-7,-2), A(5,-2), and D(-7,7) and its image with coordinates J(-3,0), K(1,0),
MAVERICK [17]

Answer:

see below

Step-by-step explanation:

DB = 9  units  (by counting)

BA = 12 units  (by counting)

DA  can be found by using the pythagorean theorem

a^2 +b^2 = c^2

BD^2 + BA^2 = DA ^2

9^2 +12^2 = DA^2

81 +144 = DA^2

225 = DA ^2

Take the square root of each side

sqrt(225) = sqrt(DA^2)

15 = DA

LJ = 3  units  (by counting)

JK = 4 units  (by counting)

LK  can be found by using the pythagorean theorem

a^2 +b^2 = c^2

LJ^2 + JK^2 = LK ^2

3^2 +4^2 = LK^2

9 +116 = LK^2

25 = LK ^2

Take the square root of each side

sqrt(25) = sqrt(LK^2)

5 = LK

Scale factor from BAD to JKL

15 to 5

Divide each side by 5

3 to 1

We multiply by 1/3 to go from the big to small

7 0
2 years ago
Show work 14.7 x 11.361=
Yanka [14]
Add two 0's to 14.7 making 14.700
3 0
3 years ago
a researcher is conducting a study on local businesses. in order to create her sample, she uses the yellowpages and a dice. she
katrin2010 [14]

Her sample space is also the list of local businesses.

Sampling is a technique used in statistics when researchers choose a representative subset of a larger population and utilize that subset to carry out a study. Probability sampling and non-probability sampling are the two main types of sampling. Selecting the group from whom you will actually gather data for your study is the process of sampling. If you wanted to examine the perspectives of students at your university, for instance, you could interview a sample of 100 students. With the help of sampling, you can test a statistical hypothesis on the features of a population.

The yellow pages are used by the researcher to do research on neighborhood companies. As a result, her sample space also includes a list of nearby companies.  

Complete question: A researcher is conducting a study on local businesses. In order to create her sample, she uses the Yellowpages and a dice. She rolls the dice, and, depending on the number rolled, counts that many businesses down in the list to call. What is her sampling frame?

The list of local businesses in the Yellowpages.

All businesses within a $10 \mathrm{~km}$ radius.

The list of local businesses in the newspaper.

All businesses in the state she is located in.

The list of registered businesses in her area.

To read more about samplings, visit brainly.com/question/13287171

#SPJ4

5 0
1 year ago
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