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2 years ago

Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-4))

Mathematics

1 answer:

yawa3891 [41]2 years ago

4 0

Answer:

171

Step-by-step explanation:

First you plug -4 into the g(x) equation

g(-4)= 1-3(-4)

Use pemdas

g(-4)= 1+12

g(-4)= 13

Next you plug 13 into the f(x) equation

f(13)= 13^2 + 2

First you do 13^2=169

Add 2 and you get 171

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750 split in to the ratio 7:8

Alex787 [66]

Given:
total = 750
ratio = 7 : 8

We need to get the ratio of the number to its total

7 + 8 = 15 ; 7/15 and 8/15 is the ratio of the number to its total.

We multiply these ratio to the total of 750

7/15 * 750 = 350
8/15 * 750 = 400

7:8 is equal to 350:400

5 0

3 years ago

Identify the vertex of the function, F(x) =3(x-1)2 + 5.

agasfer [191]

Answer:

(

)

(

−

)

Use the vertex form,

(

−

)

, to determine the values of

, and

Find the vertex

(

)

(

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image of graph

8 0

2 years ago

Use what you've learned in this unit to model the population of Western

nekit [7.7K]

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

However, the following is a general guide to solve the question.

An exponential function is represented as:

$y = a(1 \pm r)^x$

Where:

(a) represent the initial value i.e. the initial population of the Western Lowland Gorillas
(r) represents the rate at which the population increases or decreases.
(x) represents the number of years since 2022
(y) represents the population in x years

Given that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)

Take for instance:

$y = 2000 * 0.98^x$

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

Read more about exponential functions at:

brainly.com/question/26829092

5 0

2 years ago

1. Let U the set of students of the university of Cambridge. Let the subsets of U:

Marysya12 [62]

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

6 0

2 years ago

An airplane is preparing to land at an airport. It is 53100 feet above the ground and is descending at the rate of 3300 feet per

Crank

9514 1404 393
Answer:
after 7 minutes
19,600 feet
Step-by-step explanation:
Here's the "pencil and paper" solution:
The two altitude equations are ...
y = 41300 -3100x
y = 2800x
They can be solved by setting the expressions for y equal to each other.
2800x = 41300 -3100x
5900x = 41300
x = 41300/5900 = 7
y = 2800·7 = 19600
The planes will both be at 19,600 feet after 7 minutes.

7 0

2 years ago