Answer:
FG = 10
Step-by-step explanation:
EF = x + 2 ; FG = 2x - 6
F is the mid-point of EG. So, EF = FG



FG = 2×8 - 6 = 10
The y intercept is 2, because that is the value of y when it crosses the y axis.
Since the line is pointing down, it has a negative slope, and since the y value goes down 2 for every 3 x values, the slope is -2/3. You should always right the slope in rise/run form, or change in y/change in x.
Finally, write the equation in the form of y=mx+b, where m is the slope and b is the y intercept. This means the equation of the line is y=-2/3x+2.
YOU CANNOT ADD OR SUBTRACT FRACTIONS WITH DIFFERENT DENOMINATORS!! You need to find the LCD (Lowest Common Denominator) for 6 and 2 with is 6!!
(CORRECTED WORK SHOWN BELOW)
Answer:
a. 2x^2 - 16x + 24.
Step-by-step explanation:
k(x) = 2x^2 − 8
p(x) = x − 4
To find ( k o p)(x) we replace the x in k(x) by x - 4:
= 2(x - 4)^2 - 8
= 2x^2 - 16x + 32 - 8
= 2x^2 - 16x + 24.