Answer:
4b^3 + 10b^2 - 32b + 15
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2(2b - 3)
Step-by-step explanation:
Take out the greatest common factor of (4b - 6) which is 2 and 3.
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)
Answer:
false
Step-by-step explanation:
y>-2x-2
3>-2(-2) -2
3>4 -2
3>2
y< 3
3< 3
Answer:
1; -11+ 26 =15
2: 2- (-3) =5
3: 10+ (-4) = 7
4: 11 + -8 =3
5: -2 + 3 =1
6: 8 - 12 = -4
Step-by-step explanation:
!
The Standard Deviation is a measure of how spread out numbers are. Standard deviation can be calculated by the expression as follows:
s = √∑(x - x(mean))^2/n-1
x(mean) = 24
s = √∑(x - 24)^2 / 7-1
<span>s = 6.11
Hope this answers the question. Have a nice day.</span>
