Answer:
when x is any real number
Step-by-step explanation:
commutative property
Answer:
y = 8x-37
Step-by-step explanation:
y=mx+c
We know the slope m
y=8x+c
We know a point on the line (5,3). Substitute this in for x and y
3 = 8(5) +c
3 = 40+c
3-40 = 40+c-40
-37 =c
y = 8x-37
Refer the attached figure for the graphic representation of the given quadratic equation.
<u>Step-by-step explanation:</u>
Given expression:

To find:
The graphic representation of the given quadratic function
For solution, plot the graph to the given quadratic equation.
The standard form of the equation is

When comparing with given quadratic equation,
a = 1, b = - 8, c = 24
Axis of symmetry is 
By applying the values, the axis of symmetry of given equation is

The vertex form of quadratic equation is 
Where, (h,k) are the vertex.
Convert the quadratic equation into vertex form.
By completing the square,



On comparison,
(h , k) = (4 , 8)
Now, plot the equation with vertex (4,8) [refer attached figure].
Answer:
35/3x +200 = # of calories
Step-by-step explanation:
35/3 = calories burnt in 1 minute
x = minutes exercised for
add 200 to account for calories eaten
35/3x +200 = y
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