The answer is
Z=13
Y=36
X=108
I'm pretty sure it would be C
because 0.17 is how much he has to pay for each message sent and if x is the total messages he sends then it should be 0.17X+24.07
F(x) is a parabola opening upward, while g(x) is a parabola facing downward.
So there needs to be a negative out front of the f(x) term. The negative will flip the parabola. That means the answer is either A or B
-----------------------
After we flip the parabola, we need to translate the vertex (0,0) to the point (2,1) so that it matches up with the vertex of g(x)
To move from (0,0) to (2,1) we shift 2 units to the right and 1 unit up.
To move 2 units to the right, replace 'x' with 'x-2'
To move 1 unit up, you tack on a "+1"
So f(x) turns into -f(x) and then we replace the x with x-2 to get -f(x-2). Finally we tack on a "+1" to get -f(x-2)+1
The g(x) function is g(x) = -f(x-2)+1
----------------------------
Therefore the final answer is choice B
Answer:23 and one solutions.
Step-by-step explanation:
An complementary angle = 90°
one of the angles is twice as large as the smaller one
let the larger angle be x, and the smaller = y
x = 2(y)
x + y = 90
Plug in 2y for x
2y + y = 90
simplify, combine like terms
2y + y = 90
3y = 90
isolate the y, divide 3 from both sides
3y/3 = 90/3
y = 90/3
y = 30
plug in 30 for y in the equation x + y = 90
x + (30) = 90
isolate the x, subtract 30 from both sides
x + 30 (-30) = 90 (-30)
x = 90 - 30
x = 60°
The measurement of the larger angle is 60°
hope this helps