Find the reciprocal of the number. Multiply to check your answer. The number is 6. A. 1/6 B. 1 C. 12 D. 36

Answers

Answer 1
Answer: The answer is A. Simply because: 6= 6/1 and the reciprocal is 1/6.

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Which of the following represents the zeros of f(x) = 3x^3 − 10x^2 − 81x + 28?A) 7, -4, 1/3
B) 7, -4, -1/3
C) 7, 4, 1/3
D) 7, 4, -1/3

Answers

Option A). 7, -4 and 1/3

To find the zeros you can factor the polynolial into (3x-1)((x+4)(x-7)

Then:
3x -1 =0 => x = 1/3
x+4=0 => x = -4
x-7 =0 => x =7

Those are the three zeros.

What two number mutiply to -240 but add up to 8

Answers

Let us assume the two unknown numbers to be "x" and "y".
Then
xy = -240
x = - (240/y)
And
x + y = 8
Now let us put the value of x in the second equation. We get
x + y = 8
-( 240/y) + y = 8
y^2 - 240 = 8y
y^2 - 8y - 240 = 0
y^2 - 20y + 12y - 240 = 0
y(y - 20) + 12(y - 20) = 0
(y - 20) (y + 12) = 0
So we can see that the unknown number y can have two values and hence the unknown number will also have two values.
When
y - 20 = 0
y = 20
Then
xy = - 240
20x = - 240
x = -12
So we can see that when y is equal to 20 then x is equal to -12 and when y is equal to -12 then x is equal to 20. So the two numbers are 20 and -12.

Answer:

20 and 10

Step-by-step explanation:

What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125

Answers

Since the sequence is geometric, there is some constant r such that the sequence is recursively given by

a_n=ra_(n-1)

By this definition, you can recursively substitute into the right hand side the definition for a_(n-1),a_(n-2),\ldots to find an explicit formula for the nth term.

a_n=ra_(n-1)=r^2a_(n-2)=r^3a_(n-3)=\cdots=r^(n-1)a_1=-625r^(n-1)

You know the second term, which means you can find r:

a_2=-625r^(2-1)\implies125=-625r\implies r=-\frac15

So, the 7th term of the sequence is

a_7=-625\left(-\frac15\right)^(7-1)=-\frac1{25}

Answer:

-0.04 is the answer

Step-by-step explanation:

Your body eliminate about._ of BAC per hour

Answers

Your body eliminates about .015 of BAC per hour.

Dimtry bought a pair of pants at the discounted price of $30. The original price of the pants was $40. What was the percent of the discount? PLEASE EXPLAIN TO ME HOW YOU GOT YOUR ANSWER

Answers

Answer:

25%

Step-by-step explanation:

Say we start from the beginning with $40. If the pants are discounted but we don't know the percent discount, then we need a variable, x:

40 - x% * 40 = 30

The total is 40. When we take a discount off of 40, we are taking a percent of 40 and subtracting that from 40. From the problem, this should be 30. Thus, the equation above.

Add x%*40 to both sides and subtract 30 from both sides:

x%*40 = 10

Divide by 40:

x% = 1/4 = 0.25

Multiply each side by 100:

x = 25

The answer is 25%.

He coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–3 6
3 4
Line 2
x y
–6 7
9 2
A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answers

Line 1 slope: (4-6)/(3- -3)= -1/3. Y-intercept= 5
y= -1/3x + 5

Line 2 slope: (2-7)/(9- -6)= -1/3. Y-intercept= 5
y= -1/3x + 5

The lines are exactly the same, and there are infinitely many