In order to find the vertex for each of these (what you need to help you find the axis of symmetry which is an "x=" equation) you have to complete the square on g(x) and h(x). f(x) is already as simplified as it's going to be and the axis of symmetry hasn't moved from the y-axis, so the axis of symmetry is x=0. Completing the square on g(x) puts it into the vertex form of (x-2)^2+1 = y and the axis of symmetry is x=2. Completing the square of h(x) puts it into the vertex form of -2(x-1)^2+3 = y and the axis of symmetry is x = 1. So putting them in order you have f(x) then h(x) and then g(x)
Answer:
28 + 2/10 + 4/100
Step-by-step explanation:
28.24
28 ones plus 2 tenths plus 4 hundredths
28 + 2/10 + 4/100
Answer:
62 degrees
Step-by-step explanation:
Since we know 3 sides of the triangle, we can use law of cosines.
Take the arcos or cosine inverse
Which is about 62 degrees.
Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
(A) a triangle whose angles each measure less than 90°
