Answer:
<h3><em>To graph the equation of a line, we plot at least two points whose coordinates satisfy the equation, and then connect the points with a line. We call these equations "linear" because the graph of these equations is a straight line.</em></h3><h3><em /></h3><h3><em>There are two important things that can help you graph an equation, slope and y-intercept.</em></h3><h3><em /></h3><h3><em>Slope</em></h3><h3><em>We're familiar with the word "slope" as it relates to mountains. Skiers and snowboarders refer to "hitting the slopes." On the coordinate plane, the steepness, or slant, of a line is called the slope. Slope is the ratio of the change in the y-value over the change in the x-value. Carpenters and builders call this ratio the "rise over the run." Using any two points on a line, you can calculate its slope using this formula.</em></h3>
<span>1/8(y−5)²=x+3
(y-5)² = 8(x+3)
The formula of parabola in standard form
(y-k)² = 4p(x-h), (h, k) - vertex, (h+p, k) focus
For our parabola
vertex (-3,5)
4p=8
p=2
This is a horizontal parabola because y².
So to find the coordinates of the focus we need to add to x coordinate of vertex.
</span>(-3+2, 5) = (-1,5) focus
Correct answer is (-1,5).<span>
</span>
Answer: the standard hourly pay is $3.05
Step-by-step explanation:
Let x represent the standard hourly pay that he gets for the first 40 hours.
Therefore, the total amount that he gets for the first 40 hours of work in a given week is 40x.
At Dairy Queen, he earned double time for any hours worked over 40 in a given week. This means that the hourly rate is 2x
If during one week, he worked 51 hours, it means that the overtime is 51 - 40 = 11 hours
Total amount earned for overtime is
11 × 2x = 22x
If the total amount that he earned for the week is $189.10, then
40x + 22x = 189.1
62x = 189.1
x = 189.1/62 = 3.05
