Substitue 2x for y in the second equation:
Rearrange to
form:
Factor:
Zeros are
and
To find y-coordinates of pts of intersection, plug these x-values into first equation to get
and
Answer: 4x³+29x²+40x-48
Step-by-step explanation:
To solve f(x)·g(x), you multiply them together.
(4x²+13x-12)(x+4) [distribute by FOIL]
4x³+16x²+13x²+52x-12x-48 [combine like terms]
4x³+29x²+40x-48
Now, we know that f(x)·g(x)=4x³+29x²+40x-48.
Answer: y = -(9/5)x - 1
Step-by-step explanation:
Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]
A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:
y = -(9/5)x + b
We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.
8 = -(9/5)*(-5) + b
8 = (9) + b
b = -1
The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is
y = -(9/5)x - 1
Answer:
40 Squared units
Step-by-step explanation:
