Answer:
If i did this right the answer would be 69
I converted the inches to feet (might be my first mistake)
so i get 2.5 X 1 X 1 to get 2.5
i then multiply that by 62.4 to get 156
then 225-156 = 69
Step-by-step explanation:
One solution
The two (or more) equations would only intersect once
No solution
Lines never intersect
The lines are parallel
Infinite solutions
The lines are the exact same
That’s all the characteristics I know
supplementary angles add up to 180 degrees
x + y = 180
x - y = 92
---------------add
2x = 272
x = 272/2
x = 136 <=== this is one angle
x + y = 180
136 + y = 180
y = 180 - 136
y = 44 <=== this is ur other angle
Okay so basically the axis of symmetry is the h (technically where x is on the graph)nvalue so for the first one the answer is -4 for the second one because in vertex form the value of h (x-h) is in the parenthesis. For the second one you will have to turn the equation from standard to vertex. First step is to factor out the first two terms' coefficients. if you factor out two the equation turns into 2(x^2-8x) +15 The next step is you take 8 and divide it by 2 and then square it which equals 16. You add this term into the parenthesis so you can factor out like a quadratic. The equation turns into 2(x^2-8x+16) +15 to balance out the equation you have to subtract the term that you put in the parenthesis outside the parenthesis. Since 16 is the parenthesis you need to multiply it by 2, so your equation will turn into y=2(x^2-8x+16) -17 then factor out like a regular polynomial and get y=2(x-4)^2 -17 now that it's in vertex form you can see your answer is positive 4. For the third problem just look where the vertex is and see the x coordinate. The answer is 1.
The order is the g(x), the graph and the f(x)
F(m)=20+0.05m
f(m)=cost(c)
20=initial cost and will be the y-intercept
0.05=the cost per mile and will be the slope
m=the number of miles driven