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:
Could you try to re-post the question with a picture of the table?
Answer:
-25
Step-by-step explanation:
USING BODMAS
Answers to above pictures
1) -25
2) 81m⁴n⁴
3) b¹⁸
4) 3⁴
5) m⁸
Answer:
I think its the box on the bottom right corner but I'm not one hundred percent sure though.
Step-by-step explanation:
Step-by-step explanation:
come on, you should really be able to answer these things yourself now !
in such cases the total is not the whole class, but the sum of all students that satisfy a certain basic criteria. in this case it is "did not complete the homework".
now, from all the students that did not complete the homework (3+5 = 8), how many have still passed the test ?
3.
so the probability to still pass the test although the homework was not completed is
3/8
