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il63 [147K]
3 years ago
14

Find the composite function (please help)

Mathematics
1 answer:
anastassius [24]3 years ago
8 0

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

<u>Step 2: Find Composite Function</u>

  1. Substitute:                         (f o h)(x) = 2(∛(12 - 5x))³ + 8
  2. Evaluate:                            (f o h)(x) = 2(12 - 5x) + 8
  3. Distribute 2:                       (f o h)(x) = 24 - 10x + 8
  4. Combine like terms:         (f o h)(x) = -10x + 32

And we have our final answer!

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Seventy concert tickets were sold for $550. each adult ticket cost $9 and each childrens ticket cost $5. find the number of adul
PilotLPTM [1.2K]

Answer:

Total tickets = 70

Total cost = $550

Adult's ticket = $9

Child's ticket = $5

Difference = 9 - 5 = $4

Assume all 70 are child's tickets

5 x 70 = 350

But the total cost was 550

550 - 350 = $200

The $200 must have come from Adult's tickets, which has a difference of $4.

200 ÷ 4 = 50

So there are 50 adult's tickets.

70 - 50 = 20

And there are 20 child's tickets.

Hope this helps - Itz.Jordan

5 0
2 years ago
Calculate the answer to the correct number of significant digits. (91.01)(10.7)
aalyn [17]

Answer:

974

Step-by-step explanation:

(91.01)*(10.7)

91.01*(10.7)

91.01*10.7

973.80700

974

6 0
3 years ago
Which expression represents the lateral surface area of the cone?
Setler [38]

Answer:

π(6 cm) (10 cm)

Step-by-step explanation:

As we know that

The formula to calculate the lateral surface area of the cone is πrl

where

r denotes the radius i.e. 6 cm

l denotes the length i.e. 10 cm

So based on the above information

The expression that shows the lateral surface area of the cone is

π(6 cm) (10 cm)

Therefore the third option is correct

Hence, the same would be relevant

6 0
3 years ago
-3.6,-5.4,-8.1,-12.15 arithmetic or geometric or neither.
Brums [2.3K]

Answer:

Geometric Sequence

Step-by-step explanation:

1. Check the difference.

The difference between the 1st and 2nd term

( - 5.4) - ( - 3.6) =  - 1.8

The difference between the 2nd and 3rd term

( - 8.1) - ( - 5.4) =  - 2.7

The difference is not the same. Therefore, it is not an arithmetic sequence.

2. Check the ratio

The ratio between the 1st and 2nd term

( - 5.4) \div ( - 3.6) = 1.5

The ratio between the 2nd and 3rd term

( - 8.1) \div ( - 5.4) = 1.5

The ratio is the same. Therefore, it is a geometric sequence.

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3 years ago
What is the volume of the oblique cone? Round to the
Black_prince [1.1K]

Answer:

142.4 Cubic units

Step-by-step explanation:

V=1/3pir^2h

V=1/3(pi)(4^2)(8.5)

V=142.418866963

5 0
3 years ago
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