F(x)=3x/2 for 0≤x≤2
<span>.....=6 - 3x/2 for 2<x≤4 </span>
<span>g(x) = -x/4 + 1 for 0≤x≤4 and g'(x)=-1/4 </span>
<span>so h(x)= f(g(x)) = (3/2)(-¼x+1)=-3x/8 + 3/2 for 0≤x≤2 </span>
<span>for x=1, h'(x)=-3/8 so h'(1)=-3/8 </span>
<span>When x=2, g(2)=1/2 so h'(2)=g'(2)f '(1/2)= -(1/4)(3/2)=-3/8 </span>
<span>When x=3, h(x)=6 - (3/2)(1 - x/4) = 9/2 +3x/8 </span>
<span>h'(x)=3/8 so h'(3) = 3/8</span>
8,000,000 pennies equals $80,000. 1/.05=20
20 x $80,000=$1,600,000 more that the bank was able to lend
☺☺☺☺
Answer:
Part 1) The constant of variation is 
part 2) The equation is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Let
x -----> the number of square feet
y -----> the number of square yards
Three square yards are equivalent to 27 square feet
so
we have the point (27,3)
Part 1) What is the constant of variation?
The constant of variation or proportionality is equal to
substitute the values
Simplify
Part 2) What is the equation representing the direct variation?
we know that
substitute the value of k
I got the answer Antonio had a head start of 3 meters.
Answer:
(ai) The correct answer is the first option; The amount of tax the student is willing to add to a gallon of gasoline.
(aii) The correct answer is the last option; Whether the student believes that global warming is a serious issue or not.
(b) The correct answer is the first option; two-sample t interval
Step-by-step explanation:
A response variable in statistics is the idea or concept of needs to be proven right or wrong. It remains a response variable until it has been proven.
An explanatory variable simply means an independent variable. It doesn't depend on any other variable and at the same time, it can be manipulated.
In construct a 95% confidence interval to compare the two groups, two-sample t test is the appropriate t test to use.
