MATHEMATICS COLLEGE

Determine the solution for x2 + 36 > 12x

Answers

Answer 1

Answer:

$\huge\text{Hey there!}$

$\large\boxed{\mathsf{x^2 + 36 > 12x}}$

$\large\text{SUBTRACT 12x to BOTH SIDES.}$

$\large\boxed{\mathsf{\rightarrow x^2 + 36 - 12x = 12x - 12x}}$

$\large\text{SIMPLIFY IT!}$

$\large\text{NEW EQUATION: }\large\boxed{\mathsf{x^2 - 12x + 36 = 0}}$

$\large\text{FACTOR the LEFT side: \boxed{\mathsf{(x - 6)(x - 6) = 0}}}$

$\large\text{We get: \boxed{\mathsf{x = 6}}}$

$\large\text{CHECK to make sure you have intervals with the equations.}$

$\large\text{Either of these inequalities should work with your given inequality}\downarrow$

$\large\text{YOUR ANSWERS..}$

$\large\boxed{\mathsf{x > 6}}\n\n\large\boxed{\mathsf{x < 6}}$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

Answer 2

Answer:

Answer:

its d

Step-by-step explanation: i just did it

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10x - 8y =4-5x + 3y = -9

Please solve with elimination i really need the help!!
please show work

Answers

Answer:

x = 6

y = 7

Step-by-step explanation:

Here, (10x - 8y = 4) and (- 5x + 3y = - 9) are two given equation

Now, Name the equation

10x - 8y = 4

take 2 as common we get

2(5x - 4y = 2)

5x - 4y = 2 ...(1)

- 5x + 3y = - 9 ...(2)

Now, Subtract (1) from (2)

5x - 4y = 2

- 5x + 3y = - 9

————————

- y = - 7

y = 7

Now,Put the value of y in equation (1) we get

5x - 4y = 2

5x - 4(7) = 2

5x - 28 = 2

5x = 28 + 2

5x = 30

x = 30÷5

x = 6

Thus,The value of xis6and yis7

FORVERIFICATIONONLY:

5x - 4y = 2

5(6) - 4(7) = 2

30 - 28 = 2

2 = 2

- 5x + 3y = - 9

- 5(6) + 3(7) = - 9

- 30 + 21 = - 9

-9=-9

Hence,L.H.S = R.H.S

-TheUnknownScientist

Which of the following is the correct factorization of the polynomial below? 8x3 + 64y3 A. (4x + 4y) (2x+8y) B. (2x + 4y)(4x2 - 8xy + 16y2) C. (4x + 2y)(4x2 - 2xy + 16y?) D. The polynomial is irreducible.

Answers

Answer:

B. (2x+4y)(4x2-8xy+16y2)

Step-by-step explanation:

hope this helps!

There are 7 bananas, 10 oranges, and 5 apples and 5 apples in the fruit bowl. What is the ratio of bananas to fruit?

Answers

Answer:

5:27

Step-by-step explanation:

It takes a book editor 28 minutes to edit 6 pages. Find how long it takes her to edit 45 pages

Answers

Answer:

Around 9.57 minutes to edit

Step-by-step explanation:

Do 28 divided by 6 to get around 4.7. Then do 45 divided by 4.7 to get the answer.

An inscribed angle is an angle formed by two radii that share an endpoint A) True
B)False

Answers

check the picture below.

notice, as from the left, we grab those two angles and slap them together on the right, they form a wide angle A, and a smaller inscribed angle B.

now, the blue and red segments that came together, are both making up the inscribed angle B, and also sharing the side or endpoint, in the middle of angle A.

A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was approximately normally distributed with mean 25 and standard deviation 6. What proportion of students studied between 25 and 34 hours

Answers

Answer:

$P(25<X<34)=P((25-\mu)/(\sigma)<(X-\mu)/(\sigma)<(34-\mu)/(\sigma))=P((25-25)/(6)<Z<(34-25)/(6))=P(0<z<1.5)$

And we can find this probability with this difference:

$P(0<z<1.5)=P(z<1.5)-P(z<0)$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(0<z<1.5)=P(z<1.5)-P(z<0)=0.933-0.5=0.433$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem'

Let X the random variable that represent the hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,6)$