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1 year ago

Given the functions m(x) = 4x − 11 and n(x) = x − 10, solve m[n(x)] and select the correct answer below. (2 points)

1 answer:

Citrus2011 [14]1 year ago

4 0

For this case what we must do is a composition of functions which will be given by:
m (x) = 4x - 11
n (x) = x - 10
We have then:
m [n (x)] = 4 (x - 10) - 11
Rewriting the function:
m [n (x)] = 4x - 40 - 11
m [n (x)] = 4x - 51
Answer:
a. m [n (x)] = 4x - 51

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The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a

Makovka662 [10]

Answer:

$T=\frac{2}{3}$

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

Step-by-step explanation:

We are given height function as

$h=82.5sin(3\pi(t+0.5))+97.5$

where

h is the height above the ground

t is the time

we can compare it with standard equation

$y=Asin(B(t+C))+D$

Period formula is

$T=\frac{2\pi}{B}$

now, we can compare and find B

$B=3\pi$

we can find period

$T=\frac{2\pi}{3\pi}$

$T=\frac{2}{3}$

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

5 0

2 years ago

Omar has a gift card for $25 at a clothing store. He wants to buy socks that costs $4 per pair. He also has a coupon for $5 off

bezimeni [28]

Answer:

p= 7 socks

Step-by-step explanation:

gift card:$25

socks:$4

p = 7

4 0

1 year ago

The formula P = 0.68x2 - 0.048x + 1 models the approximate population P, in thousands, for a species of fish in a local pond, x

marshall27 [118]

Answer:

The answer to your question is 2184

Step-by-step explanation:

Data

Equation P(x) = 0.68x² - 0.048x + 1

x = years

population = 33984

Process

1.- Substitute the population in the equation

33984 = 0.84x² - 0.048x + 1

2.- Equal to zero

0.84x² - 0.048x + 1 - 33984 = 0

3.- Simplify

0.84x² - 0.048x - 33983 = 0

4.- Solve for x

$x = \frac{0.048 +- \sqrt{(0.048^{2}) - (4)(0.84)(-33982)}}{2(0.84)}$

$x = \frac{0.048 +- \sqrt{337.9}}{1.68}$

x1 = 201.2

x2 = -201.2

Only x1 is correct because time can not be negative

5.- Calculate the year

Year = 1997 + 201

Year = 2184

8 0

2 years ago

9. Liz works at the ballpark selling bottled

Soloha48 [4]

Answer:

10 big and 27 small

Step-by-step explanation:

First do a random amount and move closer to the answer by changing the amount of bottles

110/5=22

3 x 7 = 21

Bottles too little so less big water bottles

50/5=10

81/3=27

37 bottles so Liz sold 10 big bottles and 27 small bottles.

5 0

2 years ago

Four friends were born in consecutive years. The sum of their ages is 62. What is the age of the oldest friend?

denis-greek [22]

Since our sum is 62, and we have consecutive numbers being added, our range is most likely going to be from 10-20.
To further solve this problem easily, try finding 4 consecutive numbers with the ones place adding up to 12, 22, 32, 42, or any number that sums up to the 2 in the ones place.
Let's try 14, 15, 16, 17, since 4, 5, 6, and 7 sum up to a number with a 2 in the ones place.
14 + 15 = 29,
16 + 17 = 33.
33 + 29 is 62.
We have found the age of the friends, but we're looking for the oldest.
Our largest number is 17.
Your answer is 17 years old.
I hope this helps!

3 0

2 years ago