Answer:
{2, 4, 6}
Step-by-step explanation:
the domain is the interval or set of valid x (input) values.
the range is the interval or set of valid y (result) values.
all we need to do is use the given x values in the functional definition and collect the result values. that is the range.
x = -1
y = 2×-1 + 4 = 2
x = 0
y = 2×0 + 4 = 4
x = 1
y = 2×1 + 4 = 6
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
I think after the 9th bounce it will lose 90% of its max height
times 40 by 0.9 which will give you 36
then take 36 away from 40 leaving you with 4.
answer = 4ft
7 1/5th is the anwser but thats easy your just being lazy i think
