All categories

3 years ago

Simplify the difference. (–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x)

Mathematics

1 answer:

sineoko [7]3 years ago

4 0

Answer: $2x^4+2x+10$

Step-by-step explanation:

You need to remember the mulplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-$

Knowing this, you can distributive the negative sign. Then you get:

$(-7x- 5x^4 + 5) - (-7x^4 - 5 - 9x)=-7x- 5x^4 + 5 +7x^4 + 5 + 9x$

Now you need to add the like terms. Then:

$=2x+2x^4+10$

Finally, you can order the polynomial obtained in descending order. Therefore, the answer is:

$=2x^4+2x+10$

You might be interested in

Ms. Hagan invested twice as much money in an account that pays 7% interest as she did in an account that pays 6% in interest. He

Karo-lina-s [1.5K]

Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

Step-by-step explanation:

Let P be the initial amount she invested in an account that pays 6% interest.

Then, amount invested in other account = 2P

Simple interest = Principal x rate x time

After one year, for the first account,

Interest = P(0.06)(1) = 0.06P

For second account,

Interest = (2P)(0.07)(1)=0.14P

Total interest = $0.06P+0.14P=1000$

$\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000$

2P = 2(5000)=10000

Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

7 0

3 years ago

What is the exact value of tan 202.5 degrees

defon

Answer:

7.49001583795

Step-by-step explanation:

Use a calculator to solve this question. Plug in tan (202.5) The answer is 7.49001583795

If this answer is correct, please make me Brainliest!

8 0

3 years ago

In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.

Tamiku [17]

Answer:

a) $f(s)=\frac{-11}{3}s+\frac{3245}{3}$ $f(1)=1078 stores$ b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

$m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}$

s=1 in 2003

$s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078$

b) For 2012, s=9. For 2014, s=11

$\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041$

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

4 0

3 years ago

Does this table represent a function?why or why not

Alex787 [66]

The answer is C, because there are two different numbers correlated to the same number on the Y side. The table does not represent a function.

6 0

3 years ago

Read 2 more answers

Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research

kolbaska11 [484]

Complete Question

The complete question is shown on the first uploaded image

Answer:

Yes the researcher can conclude that the supplement has a significant effect on cognitive skill

$d = 0.5778$

The result of this hypothesis test shows that there is sufficient evidence to that the supplement had significant effect.The measure of effect size is large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

The sample size is n=16

The sample mean is $M = 50.2$