y = -2 and x= 3
Graph is attached below. Black line is the graph of y=-2
Blue line is the graph of x=3
Whenever we get equation like x = something, in that case slope is always undefined
Whenever we get equation like y = something, in that case slope is always 0
y = -2 and x= 3
For x=3, the slope is undefined.
The graph of x=3 is a vertical line at 3 on x. The x intercept is 3 and there is no y intercept.
For y=-2, the slope is 0
The graph of y=-2 is a horizontal line at -2 on y. The y intercept is -2 and there is no x intercept.
Brady studied for 4.5 hours that week
How we determine the total study hours?
The total study hours for Brady is the sum of the hours used in studying on Monday, Tuesday, Wednesday and Thursday.
He studied for 1.5 hours on Monday
He studied for 0.75 hours on Tuesday
He studied again for 1.25 hours on Wednesday
Lastly, he studied for 1 hour on Thursday, the last day
Total number of study hours=1.5+0.75+1.25+1
Total number of study hours=4.50
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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:
b. {-3, -1, 2}
Step-by-step explanation:
An <u>ordered pair</u> is a pair of elements written as (x, y) where the first element is the input value and the second element is the output value.
The <u>domain</u> is the set of input values (x-values)
The <u>range</u> is the set of output values (y-values)
Therefore, for the given ordered pairs (-1, 0), (2, 4) and (-3, 6)
Domain: {-3, -1, 2}
Range: {0, 4, 6}
