Answer:
C
Step-by-step explanation:
swap y and x in the function. that is

we get x=4y+5
<em>S</em><em>o</em><em>l</em><em>v</em><em>e </em><em>for </em><em>y</em>
(x-5)/4=y

The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>
The rate of change is calculated using:

For function g at the interval [2,3], we have:

This gives


For function h at the interval [0,2], we have:

Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives


For function f at the interval [1,2], we have:

This gives


Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
Read more about average rates of change at:
brainly.com/question/8728504
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Answer:
The answer to question 5 is x = 23. The answer to question 6 is x = 17.
Step-by-step explanation:
Two Key Points:
- Angles on a straight line always add up to 180°
- The angles in the inside of a triangle add up to 180°
I have attached a picture showing how to do the two problems. I hope this helps!
Answer: f(x)= 2x+3
Step-by-step explanation: f(x)=(x-1)2+5
2x-2+5
F(x)=2x+3
Answer:
We know that:
Energy released by fusion of hydrogen in 1 liter of solution A = 7.6x10^10 J
Energy used daily in a certain family home = 3x10^4 J
(you did not write the units, so i suppose that are the same in both cases)
Then, if x is the number of liters of solution A used, the energy produced will be:
E(x) = x*7.6x10^10 J
And we want this equal to 3x10^4
then:
E(x) = x*7.6x10^10 J = 3x10^4 j
now we solve this for x.
x = (3x10^4 j)/(7.6x10^10 j) = 3.9x10^-7
Then you need to use 3.9x10^-7 L of solution a.