In order to do this you must use what is called a discipline to get your answer
F(x)=-1x-1
1) Pick 2 points on the line (i chose (-4,3) and (3,-4)
2) Find slope of the line using the 2 points. (work below)
3) Find y-intercept, which is the point where y-axis and the line cross (y-intercept is -1).
4) Place both slope and y-intercept into slope-intercept form, y=mx+b (m=slope and b=y-intercept.)
5) Change y to f(x) (meaning function of x).
Work:
3-(-4)/-4-3=3+4/-4-3=7/-7=-1
y-intercept equals -1 also.
y=mx+b
y=-1x+(-1)
y=-1x-1
f(x)=-1x-1<---Answer
Answer:
Step-by-step explanation:
Given the inequality solved by a student expressed as:
-6v>42
To get v, follow the simple steps
Step 1: multiply both sides by -1
-6v>42
-1(-6v)<-1(42)
6v < 42 (Note that when you multiply both sides of an inequality by a negative sign, the inequality sign will change)
Step 2: Divide through by 6
6v < 42
6v/6 < 42/6
v < 7
Hence the range of values of v are the values of v less than 7
Since we are not given the options, you can compare the solution given with that of the student to figure out the error. The major error that may happen is the different not changing the inequality sign after multiplying or dividing with a negative value as shown.
Part a b2+49−(b−7)2
Distribute:
=b2+49+−b2+14b+−49
Combine Like Terms:
=b2+49+−b2+14b+−49
=(b2+−b2)+(14b)+(49+−49)
=14b
Answer:
=14b
part b
(2a+6b)2−24ab
Distribute:
=4a2+24ab+36b2+−24ab
Combine Like Terms:
=4a2+24ab+36b2+−24ab
=(4a2)+(24ab+−24ab)+(36b2)
=4a2+36b2
Answer:
=4a2+36b2