Step-by-step explanation:
x 3 6 9
y -1 -2 -3
Change in x = + 3
Change in y = -1
slope is -1/3
y-intercept = I think there is none (it goes through the origin) but I don't have graph paper on hand so not quite sure on that. Anyway, hope this helped!
Step-by-step explanation:
The third option: 5x(x^2+3)(4x-5)
because FOIL first, inner, outter, last
The two parentheses become (4x^3-5x^2+12x)
then 5x outside multiplys that whole parentheses. To get your correct expression
Answer: 2400
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Work Shown:
(80 push-ups)/(2 minutes) = (x push-ups)/(60 minutes)
80/2 = x/60
40 = x/60
40*60 = x
2400 = x
x = 2400
He can do 2400 pushups per hour, assuming he keeps at this same rate.
Answer:
y = 5/4x - 6
Step-by-step explanation:
First, put 4x + 5y= -45 in y = mx + b form
4x + 5y= -45
5y = -4x - 45
y = -4/5x - 9
So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4
To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
-11 = 5/4(-4) + b
-11 = -5 + b
-6 = b
Plug in b and the slope into y = mx + b
y = 5/4x - 6
So, the equation is y = 5/4x - 6
How many solutions does this have?
for every value of x, it has no solution.