Answer:
a = 9
Step-by-step explanation:
So in this case you just cross multiply
8 : 12 = 6 : a
6(12) = 8(a)
72 = 8a
Divide both sides by 8
a = 9
All we need to do is to find out how much is worth one yard in both fabrics, so we divide $15.00 by 2 and $37.50 by 5:
$15.00 ÷ 2 = $7.50 per yard
$37.50 ÷ 5 = $7.50 per yard
As both prices per yard are the same, the answer is: <u>Yes, these fabrics have the same unit cost.</u>
Answer:
Step-by-step explanation:
The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex.
Given vertex at (2,-3), h = 2, k = -3
y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3
The parabola passes through (0,5) so
5 = a(0 - 2)^2 - 3
5 = 4a - 3
4a = 8
a = 2
The parabola equation in vertex form:
y = 2(x - 2)^2 - 3
The starting percent is 100%. After one hour, bacteria tripled, so it is 300%.
