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VladimirAG [237]
4 years ago
8

Solve the equation 9 (x+1)^4-19 (x+1)^2+2=0

Mathematics
1 answer:
Anna11 [10]4 years ago
8 0
9(x + 1)^4 - 19(x + 1)^2 + 2 = 0
After expanding and re-factoring, we have:
(3x + 2)(3x + 4)(x^2 + 2x - 1) = 0
solutions are x = -2/3, x = -4/3, x = -1 - sqrt(2), x = sqrt(2) - 1
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What can be concluded about the line represented in the table? Check all that apply.
alisha [4.7K]

Answer: the second one, the third one, and the fifth

Step-by-step explanation:

I am almost certain that is correct, but don't quote me on it

6 0
3 years ago
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I need to understand this kindly help.....
AveGali [126]

Answer:

Section a)

Solution;

A correlation coefficient of 0.4 implies a relatively weak positive association between two sets of data. There is a notable small increment in one data set as the other increases.

Section b)

Solution;

A correlation coefficient of -0.96 implies a strong negative association between two sets of data. An increase in the values of one data set amounts to a decrease in the values of the other data set by approximately the same magnitude.

Section c)

Solution;

A correlation coefficient of -0.02 implies a weak negative association between two sets of data. An increase in the values of one data set amounts to a negligible decrease in the values of the other data set.

Section d)

Solution;

A correlation coefficient of 1.0 implies a perfect positive association between two sets of data. An increase in the values of one data set amounts to an increase in the values of the other data set by exactly the same magnitude. A scatter plot would reveal that the line y =x fits the data well.

Section e)

Solution;

A correlation coefficient of 0.86 implies a strong positive association between two sets of data. An increase in the values of one data set amounts to an increase in the values of the other data set by approximately the same magnitude.

Step-by-step explanation:

Correlation coefficient measures the degree of association between two variables or data sets. Correlation coefficients can be positive or negative and may imply weak or strong association between two data sets.

A correlation coefficient of less than 5 is implies a weak association while a value greater than or equal to 5 implies a strong association. Finally, a correlation of 1.0 implies perfect association.

7 0
3 years ago
the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.
wel

Answer:

\sqrt{14}

Step-by-step explanation:

In any square with side length s, the diagonal of the square is equal to s\sqrt{2}. Since the side length of this square is \sqrt{7}, the diagonal is equal to \sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}.

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

In this question, both legs are equal to \sqrt{7}, and we're solving for the diagonal, which is the hypotenuse in this case:

\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}

4 0
3 years ago
A monument in the shape of a square pyramid was built in a park.
True [87]

The least amount of money that should be budgeted to paint the monument is $1692.

<h3>Least amount of money that should be budgeted</h3>

First step

Using Pythagorean theorem to find the surface area

Since POR is a right triangle

Hence:

PO=20

BR=12

OR=12

PR=√20²+12²

PR=400+144

PR=544

Area of PBC=1/2×24×√544

Area of PBC=12√544

Lateral surface area=4×12√544

Lateral surface area=48√544

Lateral surface area=1119.54²ft

Second step

Since regular paint is  2 coats 200 sq. ft per gallon

Hence:

Number of gallons=1119.54×2/200

Number of gallons= 11.2 gallons

11.2×35= 392

1119.54/80=13 gallons

13×100 =1300

Last step

Least amount=392+1300

Least amount= $1692

Therefore the least amount of money that should be budgeted to paint the monument is $1692.

Learn more about budget least amount here:brainly.com/question/7068523

brainly.com/question/25294118

#SPJ1

8 0
2 years ago
Can u guys please help me<br> with this question??!!! 10 points and brainy will be awarded PLEASE!?
Over [174]

Answer:

The answer is the last option.

Step-by-step explanation:

8 0
3 years ago
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