Answer:
From left to right
All real numbers
All positive real numbers and zero
All real numbers except 2<_x<_5
All real numbers except 1<_x<_4
Step-by-step explanation:
Answer:
units.
Step-by-step explanation:
The given functions are:
and
The function has y-intercept , 
.
The function has y-intercept, 
If we shift the graph of g(x) up to obtain f(x), then the y-intercept must move from to .
This means that the graph will move up by;
units.
Square both sides. (5-2x) - (2-x) = 1^2. 5 - 2x - 2 + x = 1. Simplify to get 3 - x = 1. X=2
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Answer:
19.5
Step-by-step explanation:
165 divided by 8 is 19.5
