Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
1) 2x-1 or x=1/2
2) 5a-16 or a=16/5
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
In this question:
Composite function:
The composite function is:
At x = 1
So
When x = 1, (f◦g)(x) is -2.
Answer:
There are 462.25 parts being made per hour
Step-by-step explanation:
<u>Step 1: Make an equation</u>
An automobile factory, 1849 parts are made in 4 hours.
<em>1849 / 4 = x</em>
<em />
<u>Step 2: Solve</u>
1849 / 4 = x
<em>462.25 = x</em>
<em />
Answer: There are 462.25 parts being made per hour
F(5) is equal to 17.
f(5)= 3(5)+2= 17
