Answer:
(9-3)+18÷8
=6+ 9/4
Step-by-step explanation:
.............
Answer:
1/3.75
Step-by-step explanation:
Let:
Volume of sphere P = x
Volume Sphere Q = x + 150/100x
Volume of Q = x + 1.5x = 2.5x
Volume of R is 50% more than Q
Volume of R = (100 + 50)% of 2.5x
Volume of R = 150/100 * 2.5x
Volume of R = 1.5 * 2.5x = 3.75x
Volume of sphere P as a fraction of sphere R ;
Volume of P / volume of R
x / 3.75x
= 1/3.75
Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

From this form,

you can determine the coordinates of the vertex to be (1, 3)
F(x) = 3x-6
g(x) = x-2
so f/g = 3(x-2)/(x-2) = 3
hope this will help you