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Elza [17]
2 years ago
15

Given the equation (x-a)^2(x-2)=x^3+bx^2+12x-72 find a and b

Mathematics
1 answer:
ivann1987 [24]2 years ago
3 0
Isolate the variable by dividing each side by factors that don't contain the variable.

a=- \frac{ x^{2}- \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} ,- \frac{ x^{2}+ \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2}

Solve for b by simplifying both sides of the equation then isolating the variable.

b= \frac{12}{x}+ \frac{72}{ x^{2} }-2+2a- \frac{4a}{x}+ \frac{ a^{2} }{x}- \frac{2a^{z} }{ x^{2} }

Hopefully i helped ^.^ Mark brainly if possible. Lol once again i saw the same question so why not answer it again!
 


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Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and th
den301095 [7]

Answer:

(a) Mean=74

(b) Median=70

(c) The best measure of center= Median.

Step-by-step explanation:

We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.

(a) Let us find mean of data set by dividing the sum of given scores by the number of students.

\text{Mean}=\frac{60+62+67+69+70+70+71+75+76+120}{10}

\text{Mean}=\frac{740}{10}=74

Therefore, the mean test score will be 74.

(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.

60, 62, 67, 69, 70, 70, 71, 75, 76, 120.

We can see that 5th term is 70 and 6th term is 70 as well.

\text{Median}=\frac{70+70}{2}

\text{Median}=\frac{140}{2}

\text{Median}=70

Therefore, the median test scores will be 70.

(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.    


3 0
3 years ago
Read 2 more answers
These points are linear.<br> Find the slope.
Harlamova29_29 [7]

Answer:

here

Step-by-step explanation:

8/1 or 8

8 0
2 years ago
Find the area A of the polygon with the given vertices.
Natalija [7]

Answer:

A = 35 square units

Step-by-step explanation:

Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of the segment between A(2, 2) and B(9, 2) = \sqrt{(9-2)^2+(2-2)^2}

                                                                                     = 7 units

Length of the segment between B(9, 2) and C(9, -3) = \sqrt{(9-9)^2+(2+3)^2}

                                                                                       = 5 units

Length of the segment between C(9, -3) and D(2, -3) = \sqrt{(9-2)^2+(-3+3)^2}

                                                                                        = 7 units

Length of the segment between A(2, 2) and D(2, -3) = \sqrt{(2-2)^2+(2+3)^2}

                                                                                       = 5 units

Therefore, given polygon is a rectangle.

Area of the rectangle = length × width

                                    = 7 × 5

                                    = 35 square units

4 0
2 years ago
There are 110 sixth-grade students in a Florida middle school. 40% of the students enjoy playing video games on the weekends. Us
andreyandreev [35.5K]
40/100 - (I may be wrong)

Explanation: 40% of 110 is 44 so we make this a fraction 44/110 and then simplify to get 2/5 and after that we know that 2/5 is also 40/100, meaning 40 out of 100 students like video games.
7 0
2 years ago
Hi, can someone help on this?
marissa [1.9K]

Answer:

i beleive its 9 and 1 if im reading that right

Step-by-step explanation:

8 0
3 years ago
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