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3 years ago

If f(x)=2x−1, show that f(f(x))=4x−3. Find f(f(f(x))).

Mathematics

1 answer:

dybincka [34]3 years ago

6 0

Answer: f(f(f(x)))=8x-7

Step-by-step explanation:

Since we were given f(x) and f(f(x)), We plug that into f(x) again to get f(f(f(x))).

2(4x-3)-1 [distribute]

8x-6-1 [combine like terms]

8x-7

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2. What is the external probability of rolling a 4

Nataly_w [17]

Answer:

2. 1- Experimental probability of rolling a 4 = 40%

3. 2- Theoretical probability is 3% greater than experimental probability.

Step-by-step explanation:

Experimental probability of rolling a 4 = 100 × $\frac{8}{20}$

= 100 × 0.4

= 40%

Experimental probability of getting at least one tail = $\frac{72}{100}$

= 0.72

Theoretical probability of getting at least one tail = $\frac{3}{4}$

= 0.75

Theoretical probability is 3% greater than experimental probability.

6 0

3 years ago

The length (in centimeters) of a typical Pacific halibut t years old is approximately f(t) = 200(1 − 0.956e−0.18t). Suppose a Pa

horsena [70]

Answer:

7.2 years

Step-by-step explanation:

$f(t) =200(1 - 0.956e^{-0.18t})$

where f(t) is the length and t is the number of years old

given the Mike measures 148 cm, we need to find out the age

So we plug in 148 for f(t) and solve for t

$148 =200(1 - 0.956e^{-0.18t})$

divide both sides by 200

$\frac{148}{200} = 1 - 0.956e^{-0.18t}$

Now subtract 1 from both sides

$-0.26= - 0.956e^{-0.18t}$

Divide both sides by -0.956

$\frac{0.26}{0.956} =e^{-0.18t}$

Now take ln on both sides

$\frac{0.26}{0.956} =e^{-0.18t}$

$ln(\frac{0.26}{0.956} )=-0.18tln(e)$

$ln(\frac{0.26}{0.956} )=-0.18t$

divide both sides by -0.18

t=7.2

So 7.2 years

5 0

3 years ago

Write the number 31 in tens and ones. 2 tens ? Ones

7nadin3 [17]

Tens = 3
ones = 1

maybe

3 0

3 years ago

Read 2 more answers

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probabilit

Agata [3.3K]

There are total 10 juice boxes
P(grape) first pick:
2/10=1/5
P(grape) second pick:
1/9
As a result, the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape is 1/45. Hope it help!

8 0

3 years ago

A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area o

ratelena [41]

Answer:

The area the sprinkler sprays with water is 201.06 square feet.

Step-by-step explanation:

Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.

Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.

Step 2; The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.

Area of the circle = π × r² = 3.1415 × 8 feet = 201.06 square feet

7 0

3 years ago

Read 2 more answers