Answer:
4:12 6:18 :) I hope this is ok (I haven't done ratios in a while lol)
B) 144,349 < 144,439 < 145,003
145,003 is greater than both 144,349 and 144,439 because of the 5 in the thousands place being greater than a 4 in the thousands place.
144,439 is greater than 144,349 because a 4 in the hundreds place is greater than the 3 in the hundreds place.
Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.
A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.
The general form with vertex (p,q) is
y = a(x-p)² + q
So for us, all our parabolas are of the form
y = a(x- -3)² + 9
y = a(x² + 6x + 9) + 9
y = ax² + 6ax + 9(a+1)
That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.
Some instances:
a=1 gives
Answer: y = x²+6x+18
a=4 gives
y = 4x² + 24x + 45
Other positive <em>a</em>s give other possible answers; without the choices it's impossible to know which one they're seeking.
Answer:
110 chocolate cupcakes
88 vanilla cupcakes
Step-by-step explanation:
5chocolate to 4 vanilla
5x+ 4x = 9x
9x=198,
x = 22
22 * 5=110 chocolate cupcakes
22 * 4=88 vanilla cupcakes
CHECK: 88 + 110 = 198