Looking at the equation, you could see that it is in vertex form. Vertex form looks like this: y=a(x-h)^2+k where a is the slope to find the first point away from the origin and (h,k) is the vertex. So, the vertex is (3,-1). The first point away from the origin is up two, over one, so the slope is 2. This means that a is 2. One way you could check this is by putting 2 in for a. If you put it into standard form, it would be 2x^2-12x+17. To find the x in the vertex when the equation is in standard form we use -b/2a. So it would give us 3 for x. If we put in 3 for x, we get -1 for y, so the vertex is (3,-1). This means that a is 2. Sorry for this lengthy answer, hope it helps.
Answer:
Approximately 2 months
Step-by-step explanation:
Tricia: f(d) = 5.15m + 10.25
Melanie: f(d) = 10.25m
f(d) is the total savings altogether
m is the amount of months
5.15(2) + 10.25 = 20.55
10.25(2) = 20.50
They will have the same amount of savings in approximately 2 months
1.990291 is the actual time (in months) they will be the same
Answer:
Step-by-step explanation:
the second one
Answer:
D. 40
Step-by-step explanation:
Area of triangle: A = 1/2bh
We have <em>b </em>and <em>h</em> already, so simply plug it in:
A = 1/2(16)(5)
A = 8(5)
A = 40 units²
Answer:
136°
Step-by-step explanation:
Vertically opposite angles are always equal.
The opposite angle to x is 136°.
Both angles are vertically opposite angles, so they are equal.