400+0.1s
400 represents how much she earns per week
0.1 represents the percentage
s represents her weekly sales
0.1s represents how much of the weekly sales she gets to have.(I'm not sure if I worded the last one correctly.)
Y1=2/3x , Y2=2/3x-2
those are the graph of the functions
Answer:
equation is: width = area / length
width = 62.5 yd
Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²
For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd
Hope this helps :)
Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
The answer is y= -1
When the slope is 0, we refer to the line as a constant function. In slope intercept form, the line is equal to y = mx + b
"m" is the slope, and "b" is the y-intercept.
Let's replace those in the function.
y = 0*x - 1
0 multiplied by anything is 0
y = 0 - 1
y = -1
