What is the solution set of (3x - 1)2 = 5?

Answers

Answer 1
Answer: (3x - 1)2 = 5
6x - 2 = 5
6x = 7
x = 7 / 6

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Which value is the eighth term in the sequence: an= - 1/125 (5^n-1)?-3125
-125
-625
-25

Answers

Hello,

Answer C

a_(8)=-(5^(8-1))/(125)=-625



Let f(x)=7x3−2x−12and g(x)=−3x3−8x2+10xWhat is the function rule for (f+g)(x) ?

A. (f+g)(x)=4x6−8x2+12x−12

B. (f+g)(x)=4x6−8x2+8x−12

C. (f+g)(x)=4x3−8x2+8x−12

D. (f+g)(x)=4x3−12x2+8x−12

Answers

You just combine add like terms in the equations so your answer would be C. 

Which number is equivalent to 3⁴÷3² This problem comes straight from a standardized test given in New York in 2014.

Answers

Answer:

9

Step-by-step explanation:

3^4 / 3^2 = 3^(4 - 2)

= 3^2
= 9

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. The box needs to have the MAXIMUM volume possible. How long should the cuts be?A) 1.5 in.
B) 5.8 in.
C) 52 in.
D) 80 in.

Answers

Answer:

correct answer is A

Step-by-step explanation:

1.5 in

b) I think because it's 8 by 10

Karen bakes cookies. She has observed that the number of cookies that turn out well in each batch varies with the size of the batch and is given by the function f(x) = 2x – 23, where x is the size of the batch (number of cookies in each batch). She never bakes fewer than 12 cookies in a batch. If the size of five batches is {20, 25, 26, 27, 34}, how many cookies turn out well in each batch?Answers Choices
{17, 27, 29, 31, 45}
{18, 24, 26, 30, 46}
{14, 23, 25, 31, 42}
{20, 24, 25, 26, 44

Answers

Substitute the values of the size of the 5 batches to the model.

For example

@x = 20

f(20) = 2*20 – 23 = 17

f(25) = 2*25 – 23 = 27

f(26) =29

f(27) = 31

f(34) = 45

 

Therefore the answer is the first choice (17, 27, 29, 31, 42)

Evaluate 5 - t/3 when t =12

Answers

Answer:

1

Step-by-step explanation:

Plug in t = 12 in the expression

5-(t)/(3)=5-(12)/(3)    

         = 5 - 4/1

          = 5 - 4

           = 1

Answer:

\Huge \boxed{1}

Step-by-step explanation:

\displaystyle 5-(t)/(3)

The value of t in the expression is 12.

Replace the t variable with 12.

\displaystyle 5-(12)/(3)

Evaluate the expression.

5-4

1