All categories

3 years ago

4(5a-2b)-2(4a-5b) Expand the brackets and simplify the question

Mathematics

2 answers:

Nutka1998 [239]3 years ago

6 0

Answer:

12a+2b

Step-by-step explanation:

1. Expand by distributing terms.

20a-8b-2(4a-5b)20a−8b−2(4a−5b)

2. Expand by distributing terms.

20a-8b-(8a-10b)20a−8b−(8a−10b)

3. Remove parentheses.

20a-8b-8a+10b20a−8b−8a+10b

4.Collect like terms.

(20a-8a)+(-8b+10b)(20a−8a)+(−8b+10b)

5. Simplify.

12a+2b12a+2b

6.Answer

12a+2b

balu736 [363]3 years ago

4 0

The answer is 12a+2b

That is the answer because:
Following the distributive property
4*5a=20a
4*-2b=-8b
-2*4a=-8a
-2*-5b=10a
So now you have
20a-8b-8a+10a
So combine like terms
12a+2b

You might be interested in

PLEASE HELP!! NEED ASAP 100 POINTS!!

Leto [7]

Answer:

See Below.

Step-by-step explanation:

Remember that the maximum account balance Ebony had was $400.

We can see that her bank balance first reached $400 on Day 4 and continued until Day 8.

Part A)

Since the maximum amount is $400, it is whenever the graph reaches (and stays) at its maximum, or the highest points on the graph.

We can see that at around Day 4, she first reached her maximum of $400 since that is the highest point of the graph.

And this continues until approximately Day 8.

Therefore, Ebony first reached $400 on Day 4 and stayed at $400 until Day 8.

Part B)

Refer above. The explanation is the same.

Part C)

Jade is says that the amount Ebony is depositing per day from Days 0 to 4 is the same as the amount Ebony is withdrawing per day from Days 8 to 12.

We also know that Day 12 is when Ebony’s account first reached 0.

Essentially, Jade is saying that the slope of the line from Days 0 to 4 is the same as the slope of the line from Days 8 to 12.

Ignoring the negative, we can immediately see that this is not true without calculating.

This is because the slope of the line from Days 8 to 12 is much steeper than than slope of the line from Days 0 to 4.

So, the two slopes are not equal since they are not the same steepness.

Therefore, this means that from Days 8 to 12, Ebony withdrew money at a faster rate per day than she had been depositing from Days 0 to 4.

Hence, Jade’s statement cannot be true.

3 0

3 years ago

Read 2 more answers

Choose the inequality that represents the following graph.

inysia [295]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Round your answer to the nearest hundredth. с B 40° ? 7 А

igor_vitrenko [27]

Answer:

take 40 degree as reference angle

using sine rule

let opposite be x

sine 40=opposite/hypotenuse

0.64=x/7

0.64*7=x

4.48=x

Step-by-step explanation:

3 0

3 years ago

Find the 4th term if the sequend in which a1 = 2 and a n+1 = -4a n + 2

pshichka [43]

$a_n_+_1=-4a_n_+_2$

dividing both sides by -4, we get:

$a_n_+_2=- \frac{a_n_+_1}{4}$

this means, each term is its previous term divided by -4.

now we can construct the sequence as follows:

$a_1=2$

$a_2=- \frac{a_1}{4}= - \frac{2}{4}= -\frac{1}{2}$

$a_3=- \frac{a_2}{4} =- \frac{ \frac{1}{2} }{4}=- \frac{1}{8}$

$a_4=- \frac{a_3}{4}=- \frac{ \frac{1}{8} }{4}=- \frac{1}{32}$

Answer: the last term is -1/32

3 0

3 years ago

Compute the probability of the event E1 that Bob wins in a duel against Eve alone, assuming he shoots first. (Hint: Let x be the

skad [1K]

Answer: Hello your question is incomplete attached below is the missing

n ( 1 + n )

Step-by-step explanation:

P( Bob hits target ) = 1/3

P( Eve hits target ) = 2/3

P( Carol hits target ) = 1

Compute the P that Bob wins in a duel against Eve alone

P(Bob hits the target in first shot ) = n = 1/3

P(Bob hits the target in second shot ) = n^2 = ( 1/3 * 1/3 ) = 1/9

hence the probability of Bob winning( i.e. P( Bob wins Event E1 ) = n + n^2 = n ( 1 + n )

6 0

3 years ago