Erin received the following scores on her past four spelling test
1 answer:
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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:
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Answer:
<em>In 5 years the product of their ages will be 208</em>
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:
Simplifying:
Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
Answer:
Step-by-step explanation:
Given
Required
Determine the number of miles driven on the highway and on the city
Represent the gallons used on highway with h and on city with c.
So, we have:
---- gallons used
and
--- distance travelled
In the first equation, make c the subject
Substitute 10 - h for c in the second equation
Open bracket
Collect like terms
Make h the subject
Substitute 5 for h in
If on the highway, he travels 31 miles per gallon, then his distance on the highway is:
If in the highway, he travels 26 miles per gallon, then his distance on the highway is: