Translate the following and explain where these examples could be found in real world.
a) “6 less than a number”
b) “2 times the quotient of a number and two”
c) “4 times the difference of a number and 8”

Answers

Answer 1
Answer: a) x-6; you have x amount of money and pay 6 dollars for a hat.
b) 2(x2);

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List three multiples of 9.
Describe the sign of the quotient of two integers when: Both integers are positive. Positive Negative
Select the correct product of (a + 8)(b + 3)A) ab + 8a + 3b + 24 B) ab + 3a + 8b + 24 C) 11ab D) 24ab

In ABC, you know that a = 2, b = 3 and m A = 30°. Which option below lists the number of triangles and gives the correct explanation?A. There are no triangles because b sin A < a.

B. There is exactly one triangle because b sin A = 0.5b.

C. There are two triangles because b sin A < a < b.

D. There are three triangles because b sin A = 0.5b and b sin A < a < b.

Answers

I think there isn't one triangle at all, there are two of it. So I suggest to choose C. There are two triangles because b sin A < a < b - as it's exactly correct explanation that excepts other options. 

Answer:C

Step-by-step explanation:

there are two triangles as

A=30^(\circ)

a=2

b=3

Using sine rule

(a)/(sinA)=(b)/(sinB)

sinB=sinA* (b)/(a)

sinB=0.75

B=48.59^(\circ)

\pi -B=48.59^(\circ)

B=131.41

For these two values two values of C is possible

(25 points)Which statement best describes the graph of x^3 - 3x^2 - 4x + 12?

It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3.
It starts down on the left and goes up on the right and intersects the axis at x = -2, 4, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 2, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 4, and 3.

Answers

The answer is A.

The 0's of the function are -2, 2, and 3.

The graph starts from the bottom left and it keeps going to the top right.
x³ - 3x² - 4x + 12=(x³ - 3x²) - (4x - 12)=x²(x-3)-4(x-3)= (x-3)(x²-4)=(x-3)(x-2)(x+2)
 equation cross x-axis in point x=-2, x=2, x=3
so we can choise from  1 and 3 answers:
 It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 2, and 3.


coefficient before x³>0 so it go up
 so it ís answer 1
Answer:
1.  It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3

Y^-3/y^-1 rewrite with positive exponetents

Answers

Answer:

Y/Y^3

Step-by-step explanation:

Negative exponents work like this: Y^-1 = 1/Y

We can apply this concept to our problem. Y^-3 would be 1/Y^3, and that is divided by 1/Y, so we flip the Y onto the numerator from the denominator and so we get Y/Y^3.

Find the median of the data. A.
25


B.
27


C.
27.5


D.
30

Answers

Both A.25 and D.30 are the median

1.First you need to put the numbers in order

15,15,20,25,25,30,30,35,45

2.You then need to cross one off each side as you go down (As below)

15,20,25,25,30,35
20,25,25,30
25,30

3.After you take all the numbers off you stop when there are no numbers to take off from both ends 

25,30

4.You are then left with these two median numbers so your answer is 25 and 30

I hope this explains it for you if you need any other information then please ask i wouldn't mind helping

The expression "an established fact" refers to ____

Answers

given information
postulates
definitions
a theorem that has already been proven
(I'm pretty sure)

Please help how do I do this?

Answers

For the first part, since you know that 4^2 in 16, which is your area, then the 2 sides are 4 square yards and 4 square yards. For the second part, you know that all sides on a square are equal so if one side is 4 square yards, then so are all the other sides. As a result, 4 times 4 is 16, your perimeter.

Final Answers: Part 1 - The length of one side is 4 yards.
                              Part 2 - The perimeter is 16 yards.