Answer:
8.391 feet in the air
Step-by-step explanation:
Answer:
The inverse function
Step-by-step explanation:
The given function is g(x) = 1/4 x + 5
Let's take g(x) = y
y = 1/4 x + 5
To find the inverse function, change x by y and y by x, we get
x = 1/4 y + 5
Now write the y interms of x.
Subtract 5 from both sides, we get
x - 5 = 1/4 y
Now isolate y.
y = (x - 5) ÷ (1/4)
y = 4(x - 5)
y = 4x - 20
Therefore, the inverse of g(x) is g^(-1) (x) = 4x - 20
Thank you.
Nope- false
The sum of the square roots of two sides of a _right_ triangle is equal to the hypotenuse.
Answer:
a=2, b=0
Step-by-step explanation:
Given:
f(x) = x^3 + x^2 - ax +b is divisible by (x^2 -x)
Need to find:
Values of a and b.
Solution:
Factor
(x^2-x) = (x)(x-1)
if x^3 + x^2 - ax +b is divisible by (x)(x-1), then
both x and (x-1) are roots to f(x), therefore
x=0 or x=1 are roots to f(x).
Using the factor theorem,
f(x=0) = 0 => 0+0-0+b = 0 => b=0
f(x=1)=0 => 1+1-a+b=0 => 1+1-a+0 = 0 => a=2
That is a=2, b=0
Now factor f(x) with a=2, b=0
f(x) = x^3 + x^2 - ax +b
= x^3 + x^2 - 2x
= x (x^2 + x - 2)
= x (x+2) (x-1)
Thus both x and (x-1) are factors... checks.
6x + 2 + 4 + 6 + 8 + 10 = 126
6x + 30 = 126
6x = 96
x = 16
Numbers are {16,18,20,*22*,24,26)
Correct answer is 22.