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stiv31 [10]
3 years ago
13

Let f(x) = (6x^3 – 7)^3 and g(x) = 6x^3 - 7. Given that f(x) = (hog)(x), find h(x).

Mathematics
2 answers:
Katena32 [7]3 years ago
7 0

Answer:

h(x) = x^3.

Step-by-step explanation:

h(x) = x^3

because (h o g)(x)  = (6x^3 - 7)^3.

alexgriva [62]3 years ago
4 0

Answer:

<h2>h(x) = x³</h2>

Step-by-step explanation:

\text{We can notice:}

g(x)=6x^3-7,\ f(x)=(\underbrace{6x^3-7}_{g(x)})^3=\bigg(g(x)\bigg)^3

\text{If}\ f(x)=(h\circ g)(x)=h\bigg(g(x)\bigg),\ \text{then}\ h(x)=x^3

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den301095 [7]
1 .Fridays and Saturdays, she works 16 hours

16 x $9.70  = $155.20
answer: her gross pay in a week: $155.20

2.  7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90
7 + 6 + 9 = 22
196.90 / 22 = $8.95
answer: his hourly rate was $8.95

3.hourly rate of $11.28 per hour worked 46 hours last week. She works overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half. What was her gross pay last week?

$11.28 x 40 = $451.20 ---normal 40 hours paid

46 - 40 = 6 (6 hours over time)

11.28 + 11.28/ 2 = $16.92 (overtime pays a rate of time and a half)

6 * $16.92 = $101.52

$451.20(40hours) +  $101.52(6hours overtime) = $552.72

answer: her gross pay last week was $552.72

4. Paul received a $15 tip on a meal that cost $120. What percent of the meal cost was the tip?

15 / 120 = .125
.125 * 100 = 12.5%

answer: percent of the meal cost was the tip was 12.5%

5. Carly earns a weekly salary of $720 plus 4% commission. Last week, she sold $3250 worth of products. What was her gross pay?

4% = .04
$3,250  * .04 = $130 (commission on sold products)

$720  + $ 130 = $850
answer:  her gross pay was $850

5 0
3 years ago
Read 2 more answers
terms in a geometric sequence are 16, 20, 25, 31.25, find the value of the 17th term, to the nearest WHOLE number.
Bond [772]

Answer:

568

Explanation:

First you need to make an equation. You need to find the change, in this case it’s 1.25. After, you find that, you make your equation. A(n)=16(1.25)^n-1.

I hope this was helpful

8 0
3 years ago
Jack bought a 1/4 pound of salami and 1 2/3 pounds of Ham at the deli. Both items are on sale for $12 per pound. What is the tot
Liono4ka [1.6K]

Answer:

Salami: $3.00

Ham: $ 8.00

Step-by-step explanation:

12 * 1/4 = 12/4 = $3.00

12 * 2/3 = 24/3 = $8.00

8 0
2 years ago
Factor the expression: <br> 30 + 100c
ANEK [815]
10(3+10с)
This expression has a common factor of 10
3 0
3 years ago
I just don’t understand. help
Ratling [72]

Answer:

I'm so sorry you don't know this. Here!

Step-by-step explanation:

You divide 1,060 with 30%

1,060 - 30% (30) = 742!

Val scored 742 points!

5 0
3 years ago
Read 2 more answers
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