Factor completely: 3x2 − 17x − 28

Answers

Answer 1

Answer: Hello,

3x²-17x-28=3x²-21x+4x-28=3x(x-7)+4(x-7)=(x-7)(3x+4)

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A cyclist travels 3 miles in 15 minutes. what is her average speed in mph

Answers

Answer:

12 mph

Step-by-step explanation:

Step 1: Convert 15 minutes to hours

15/60

1/4

0.25 hours

Step 2: Divide 3 by 0.25 hours

12 mph

The seventh term of the sequence -2, -6, -10, -14, ... is _____. -26 -24 -22 -20

Answers

We'll it keeps on subtracting by 4 to get each number.

-2,-6,-10,-14,-18,-22,-26.

Negative 26 is your answer. Hope this helped!

Answer:

-26

Step-by-step explanation:

We are counting by 4s

1) 2 - 4 = -2

2) -2 - 4 = -6

3) -6 - 4 = -10

4) -10 - 4 = -14

5) -14 - 4 = -18

6) -18 - 4 = -22

7) -22 - 4 = -26

Hope this helps!!!

Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.6h + 5 = 4h + 10
What is the correct sequence of steps to solve Mrs. Blake’s equation?

A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.

Answers

Answer:

Option B: Subtract 4h from both sides. Subtract 5 from both sides.Divide each side by 2.

Step-by-step explanation:

So why option B?

When solving equations one of the best method is to bring like terms together to a side (LHS or RHS) of the equation.

What are liked terms? This are numbers or integers with similar structure. From the question the liked terms are 5 and 10, and 6h and 4h.

Going by the workflow described in option B we will see that the end game here was to bring liked terms together.

So lets carry out the workflow step by step:

Subtract 4h from both sides: 6h + 5 -4h = 4h + 10 -4h => 2h + 5 = 10
Subtract 5 from both sides: 2h + 5 -5 = 10 -5 => 2h = 5 (Victory!!! we have succeeded in briinging like terms to a side)
Divide each side by 2: 2h/2 = 5/2 => h = 2.5

So for the Babysitters to charge the same amount they have to have worked for 2.5 hours (that is 2 hours 30 minutes)

B) This way you'll get an answer of h=2.5

In how many different orders can you line up 8 cards on a table?

Answers

8 cards can be lined up in 8! = 40,320 ways.

permutations
slot method
8 slots
1st slot has 8 choices
2nd has 7 because 1 went to first slot
3rd has 6
4th has 5
5th has 4
6th has 3
7th has 2
8th has 1

8*7*6*5*4*3*2*1=40320 ways

Identify the GCF of 12a^4b^3 + 8a^3b^2.
4a^3b^2
2a^3b
4a^2b
8a^3b^2