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3 years ago

Explaining step by step the simplest form of the expression 9r(r+3)-2r(r-4)

1 answer:

6 0

For simplest form, the first thing you'll want to do is get rid of the parentheses:

9r(r + 3) - 2r(r - 4) = 9r^2 + 27r - 2r^2 + 8r

Now we want to combine like terms:

9r^2 + 27r - 2r^2 + 8r = 7r^2 + 35r

You might be interested in

A large university is interested in learning about the average time it takes students to drive to campus. The university sampled

Dmitrij [34]

Answer: The value of test statistic is 2.442.

Step-by-step explanation:

Since we have given that

n = 238

Sample mean = 23.2 minutes

Standard deviation = 20.26 minutes

Hypothesis :

$H_0:\mu=20\\H_a:\mu\neq 20$

So, the test statistic value would be

$z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{23.2-20}{\dfrac{20.26}{\sqrt{236}}}\\\\z=2.442$

Hence, the value of test statistic is 2.442.

4 0

3 years ago

Josh is trying to factor the expression

mrs_skeptik [129]

Answer:

a) Josh likely made the negative and positive multiplication error.

b) -20a-8+12b

= -4(5a+2-3b)

Step-by-step explanation:

To check if you are correct, you can always simplify it again:

-4(5a+2-3b)

=-20a-8+12b

Remember:

Negative times negative equals to positive, negative times positive equals to negative!

I hope this is helpful! :)

4 0

3 years ago

X = 0.5 Solve please

faltersainse [42]

Answer:

2x-1=0

Step-by-step explanation:

x-0.5=0

10x-5=0

2x-1=0

4 0

3 years ago

Tom made 5,000 mL of soup. He packed 2.5 liters of the soup in his kids' lunches. He froze the rest of the soup. How many millil

MakcuM [25]

Answer:

Amount of frozen soup = 2500 mL

Step-by-step explanation:

We are told that tom made 5,000 mL of soup.

We are also told he packed 2.5 Litres into his kids' lunches.

Now, from conversions,

1 liter = 1000 mL

Thus,

2.5 litres = 2.5 × 1000 = 2500 mL

Now, we are told he froze the rest of the soup.

Thus;

Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.

Amount of frozen soup =

5000 - 2500 = 2500 ml

7 0

3 years ago

There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3

Paraphin [41]

Answer:

18 pencils in 3 packs.

Step-by-step explanation:

Assuming that each pack will have the same amount of pencils. It is given that there are 36 pencils in all when one has 6 packs. Find the amount in each pack by dividing (total amount of pencils)/(amount of packs) = Amount of pencils per pack:

36/6 = 6

There are 6 pencils in each pack.

Now, Elsa wants to know how much pencils are in 3 packs. Multiply the amount of packs with the amount of pencils in each pack:

Total amount of pencils = amount of packs (3) x amount of pencils per pack (6)

= 3 x 6

= 18

There are 18 pencils in 3 packs.

8 0

3 years ago