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Amanda [17]
3 years ago
14

PLEASE HELP ALGEBRA QUESTION ​

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:

6.75

Step-by-step explanation:

The average rate of change of function f(x) on the interval [-4, -2] would be:

                f(-2) - f(-4)          18 - 4.5

a. r. c. = -------------------- = --------------- = 13.5/2, or 6.75.

                   -2 - (-4)                 2

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Please help :)))) ( attachment )
Anastaziya [24]
Let,
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2

This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that 

g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2

So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).


Here's proof of both claims

-----------------------------------------

Proof of Claim 1:

f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6

-----------------------------------------

Proof of Claim 2:

h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2
5 0
4 years ago
(i) 0.8% into a fraction​
melamori03 [73]

Answer:

80/100

or

8/10

or

4/5

Step-by-step explanation:

3 0
3 years ago
Classify each polynomial by the number of terms ( monomial, binomial, trinomial)
Mars2501 [29]

Answer:

1). monomial

2). binomial

3 0
3 years ago
What is the length of BC?
WARRIOR [948]

Answer:

the sum of an exterior angle is equal to 360

6+5+a= 360

11+a=360

a= 360-11

a= 349

hope it helps

7 0
3 years ago
from the top of the tower 30m hight a man who is 2m tall is observing the base of a tree at an angle of depression measuring 30
professor190 [17]

Answer:

The distance between the tree and the tower is 18.48 meters.

Step-by-step explanation:

We are given the following information in the question:

Height of tower = 30 m

Height of man  = 2 m

Angle of depression = 30 degrees

We have to find the distance between the tree and the tower.

The attached image shows the scenario.

Formula:

\text{Tan(Angle of Depression)} = \displaystyle\frac{\text{Perpendicular}}{\text{Base}} = \frac{\text{Distance between tower and tree}}{\text{Height of tower + Height of man}}\\\\= \tan(30) = \frac{\text{Distance between tower and tree}}{32}\\\\\frac{1}{\sqrt3} = \frac{\text{Distance between tower and tree}}{32}\\\\\text{Distance between tower and tree} = \frac{32}{\sqrt3} = 18.48~m

Thus, the distance between the tree and the tower is 18.48 meters.

6 0
3 years ago
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