Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
Based on the fact that the radius of the snowball increases by 0.36 inches every second, the linear function can be found to be y = 0.36x + 1.66
<h3>How to find the linear function?</h3>
The linear function is the function that shows how to change in the rate of the independent variable would affect the rate of change in the dependent variable.
The linear function takes the form:
y = mx + b
y = dependent variable
m = slope or change in radius of snowball
x = seconds
b = y-intercept
Solving for the y-intercept gives:
3.1 = 0.36(4) + b
b = 3.1 - 1.44
= 1.66
The linear function is therefore:
y = 0.36x + 1.66
Find out more on linear functions at brainly.com/question/28029655
#SPJ1
55.76-50.38=4.38 inches of rainfall
Your welcome =)
difference= subtraction
Answer:
Rounding to the Nearest Integer
The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).
