8(x - 6) +10 = 8x - 37 pls help answer
2 answers:
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Answer:
Value of k = -2
Step-by-step explanation:
Using slope intercept form:
The equation of line is given by:
y = mx+b
where, m is the slope and b is the y-intercept.
As per the statement:
The graphs of y = f(x) and y = g(x) are shown on the coordinate plane.
First find f(x):
Consider two points on y=f(x) are:
(0,-3) and (2, 1)
Formula for slope:
then;
then;
Substitute the point (0, -3) to solve for b:
⇒
∴
Similarly for g(x):
Consider two points on y = g(x) are:
(0, 6) and (2, -2)
then;
then;
then;
Substitute the points (0, 6) to solve for b:
⇒
then we get an equation:
y = g(x) = -4x+6
It is given that: If g(x) = k* f(x)
Solve for k:
⇒
on comparing both sides we have;
⇒
Divide both sides by -2 we have;
or
-3k = 6
⇒k = -2
Therefore, the value of k is, -2
The sum of three consecutive integers is three times the middle one: if we call the middle one , the three numbers are
So, their sum is
Which is three times the middle one.
So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.
So, the three numbers are 15, 16 and 17