All categories

3 years ago

(x^2 + 5x + 2) – (5x^2 – x – 2) =

Mathematics

2 answers:

lesya692 [45]3 years ago

7 0

Hello!

Answer:

$\boxed{\boxed{\bf THEME:\:EQUATIONS\:\:WITH\:\:PARENTHESIS}}$

$Es\:\:-4x^2+6x+4$

Step-by-step explanation:

$(x^2 + 5x + 2) - (5x^2 - x - 2)$

◈We remove the parentheses:

$x^2+5x+2-5x^2+x+2$

◈We subtract "x²" and "5x²":

$-4x^2+5x+x+2+2$

◈We add up "5x" and "x":

$4x^2+6x+2+2$

◈We add up "2" and "2":

$-4x^2+6x+4$

--------------------------------------------------------------------------------------------------------------

Greetings <3

Sincerely: <em><u>anapaulacbellido</u></em>

zlopas [31]3 years ago

3 0

Answer:

${ \tt{( {x}^{2} + 5x + 2) - (5 {x}^{2} - x - 2) }} \\ = { \tt{(1 - 5) {x}^{2} + (5 + 1)x + (2 + 2)}} \\ = { \tt{ - 4 {x}^{2} + 6x + 4 }} \\ = { \tt{ - 2(2 {x}^{2} - 3x - 2) }}$

You might be interested in

Delia's relative long jump length was recorded as 0. What does this mean?

Umnica [9.8K]

She either didn't have legs or never did long jump.

8 0

3 years ago

It doesn’t have the plus sign

3241004551 [841]

+

there u go if that helps u can copy and paste it

5 0

2 years ago

Read 2 more answers

Can someone help me please and thanks oh and it 3 and 6

ivolga24 [154]

The answer for number 3 is 96.7 if you want the work shown I would recommend you to download the app Socratic and for number six you multiply.75x14 then also multiply.35x7 then add add up the answers which will be 12.95 then you subtract that from 15 the answer is $2.05

6 0

3 years ago

If Sarah is 24 years younger than her mother and if the um of their ages is 68, how old is Sarah? x best represents 1. Sarah's a

sukhopar [10]

Answer:

Sarah's age is best represented by M-24 or as the question used x-24 where the mother's age is best represented by M where the question used x.

Step-by-step explanation:

We are given that Sarah (S) is 24 years younger than her mother (M).

So S=M-24.

We are given that Sarah (S) and her mom's age adds up to 68.

So S+M=68.

We are going to solve this system by substitution since one of the variables is solved for. I'm going to plug first equation into second like so:

(M-24)+M=68 I replaced S with M-24.

M+M-24=68 Put like terms together.

2M-24 =68 Combined the like terms.

2M = 92 Added 24 on both sides.

M = 92/2 Divided 2 on both sides.

M = 46 Simplified the 92/2.

So her mother's age is 46.

We know that S=M-24 so S=46-24=22.

Sarah is 22 years old.

3 0

3 years ago

In general, the probability that a blood donor has Type A blood is 0.40.Consider 8 randomly chosen blood donors, what is the pro

postnew [5]

Answer:

The probability that more than half of them have Type A blood in the sample of 8 randomly chosen donors is P(X>4)=0.1738.

Step-by-step explanation:

This can be modeled as a binomial random variable with n=8 and p=0.4.

The probability that k individuals in the sample have Type A blood can be calculated as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.4^{k} 0.6^{8-k}\\\\\\$

Then, we can calculate the probability that more than 8/2=4 have Type A blood as:

$P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\\\P(x=5) = \dbinom{8}{5} p^{5}(1-p)^{3}=56*0.0102*0.216=0.1239\\\\\\P(x=6) = \dbinom{8}{6} p^{6}(1-p)^{2}=28*0.0041*0.36=0.0413\\\\\\P(x=7) = \dbinom{8}{7} p^{7}(1-p)^{1}=8*0.0016*0.6=0.0079\\\\\\P(x=8) = \dbinom{8}{8} p^{8}(1-p)^{0}=1*0.0007*1=0.0007\\\\\\\\P(X>4)=0.1239+0.0413+0.0079+0.0007=0.1738$

3 0

3 years ago