Answer:
The standard form of a quadratic is y = ax^2 + bx + c.
- In this equation, the formula for the axis of symmetry is x =
. - You know that the center will always be along that line, and you've got the x-coordinate already, so just plug that in and get the y-coordinate out for the center.
The vertex form of a quadratic is also helpful, y = a(x-h)^2 + k.
- In this equation, the formula for the center is (h, k), and the axis of symmetry is x = h! That's even easier!
Answer:
A
Step-by-step explanation:
a geometric sequence is where we multiply a factor from element to element.
a1 = $900
a2 = 981 = a1 × f = 900 ×
a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²
so, now let's try and get f.
remember, 981 = 900 × f
f = 981/900 = 109/100 = 1.09
just to control, we check for s3 :
900 × (1.09)² = 900 × 1.1881 = 1069.29
correct.
so,
a13 = 900 × (1.09)¹² = 2,531.398304
s13 is then the sum of all a1, ..., a13
there is a nice formula for sums of finite sequences
s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =
= 900×(1-3.065804612) / (-0.09) =
= 900×(-2.065804612) / (-0.09) = 20,658.04612
.
Answer:
try multiplication
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
9/16 * 4/18
Rewriting
9/18 * 4/16
9/18 = 1/2 and 4/16 = 1/4
1/2 * 1/4
1/8
