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3 years ago

F(x) = x + 9, g(x) = x2 − 4x, h(x) = x4 + 2x3

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

Answer:

the degree of the function is 8

Step-by-step explanation:

(f º g º h)(x) = $f(g(h(x)))$

first lets evaluate g(h(x))

$(x^4 + 2x^3)^2 - 4(x^2 + 2x^3)$

simplify

$x^8 + 4x^3 + 4x^6 - 4x^4 -8x^3$

$x^8 + -4x^3 + 4x^6 - 4x^4$

you can easily see that the highest power term is 8 meaning the degree of the function is 8

Alchen [17]3 years ago

3 0

Answer:

its 8 :)

Step-by-step explanation:

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Estimate 58% of 121 by using 10%. show work please

Setler [38]

Answer:

58% of 121 by using 10% is 70.18.

Step-by-step explanation:

58% is about equal to 60%, or 6 times 10%. 10% of 121 is 12.1.

12.1 * 6 = 72.6

To take this further, 58% is 2% less than 60%, or 2 times 1%. 1% of 121 is 1.21.

72.6 - (1.21 * 2) = 72.6 - 2.42 = 70.18

5 0

3 years ago

kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to collge she recieves $75

DedPeter [7]

Answer:

$FV=887.3967212$ $

Step-by-step explanation:

Use the compound-interest formula:

$FV=PV(1+\frac{r}{n}) ^{nt}$

Where:

FV=Future value or the ending amount

PV=Present value or the initial amount=750

n=Number of compoundings in any one year=2

t=Total number of years=4

r=interest rate=0.0425

Now, replacing the data in the equation:

$FV=750*(1+\frac{0.0425}{2}) ^{2*4} =887.3967212$ $

4 0

3 years ago

What is 15 twentieths in its lowest terms?

ratelena [41]

15/20 To simplify you basically remove the highest common multiple, in this case 5.
(15/5)/(20/5) = 3/4

your answer is 3/4

5 0

4 years ago

One week billy worked 36 hours at $6.70 per hour the next week he worked 40 hours at $6.85 per hour how much more did he earn th

krek1111 [17]

Week one:

36 * 6.70 = $241.20

Week two:

40 * 6.85 = $274

Subtract:

274 - 241.20 = $32.80

Therefore, he made $32.80 more the second week then he did the first week.

Best of Luck!

6 0

4 years ago

Remi invests ?600 for 5 years in a saving account. By the end of the 5 years he has received a total of ?75 simple interest. Wor

Allushta [10]

Answer:

2.5 %

Step-by-step explanation:

The simple interest formula is

I = Prt

Data:

I = $75

P = $600

t = 5 yr

Calculation:

75 = 600 × r × 5

75 = 3000 r

Divide each side by 3000

r = 75/3000 = 0.025 = 2.5 % APR

The annual percentage rate is 2.5 %.

4 0

3 years ago