Answer:
The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
Answer:
Step-by-step explanation:
Angle EFB = 180 - 147 = 33 (Angles on a straight line add up to 180 degrees)
Angle FEB = 180 - 4x (Angles on a straight line add up to 180 degrees)
Since the angles in a triangle add up to 180 degrees ,
Remove brackets:
Add/Subtract:
Subtract 213 from both sides:
Divide both sides by -3:
Answer:
-(x + 1)(7x - 12)
Step-by-step explanation:
Step 1: Factor out a -1
-1(7x² - 5x - 12)
Step 2:
Think. Answer this question: "What 2 numbers multiply up to -12 and adds up to -5 while 7 is an x coefficient?". You answer should be -12 and 1.
So, <em>factor</em>.
-1(x + 1)(7x - 12)
To double check, just expand/FOIL everything and see if it is the same as the original expression.
Answer:
LCM of 3, 5, and 11 is 165.
Step-by-step explanation:
