Answer:
x = 7 1/3
Step-by-step explanation:
First, add 1/2 and 6
1/2 + 12/2 = 13/2 = 6 1/2
Our equation now:
13/2 over 3 - x - 3 over 2 = 0
Next, divide 13/2 by 3
13/2 divided by 3 = 13/6
Our equation now:
13/6 over 3 - (x - 3) over 2 = 0
Now, find common denominators and simplify
13/6 - ((x - 3) times 3) over 6 = 0
22 - 3x over 6 = 0
Multiply by six on both sides
22 - 3x = 0
Subtract 22 from both sides
-3x = -22
Divide by -1
3x = 22
Divide both sides of the equation by 3
x = 22/3
x = 7 1/3
Hope this helps!
No. It is quadratic since it would cross the x-axis twice
Step-by-step explanation:
If they have the same shape, the red graph is a translation of the blue, which is given to be y=x^2.
Since the red graph stays on the y axis at two units above the blue (y=x^2) curve, therefore the red curve is given by y=x^2+2.
First we need to find the slope:
Slope formula=

Plug in your given values from the coordinate
Slope =

When we have 2 "-"'s together they turn into a + sign so we add.
Slope =

Slope =

Simplify (in this case divide) the slope:
Slope =

slope-intercept form is:
y=mx+b
Where m=slope
b=y-intercept
So far we have:
y=2x+b
To find b all we have to do is pick any given coordinate and plug it in:
I chose (3,1)
so we plug that in the equation
1=6+b
Now solve for b:
1=6+b
subtract 6 from both sides
b=-5
Final answer:
y=2x-5 (D)