Answer:
5x⁴ + 5x³
Explanation:
We are given that:
f (x) = 5x³
g (x) = x + 1
Now, (f · g)(x) means that we will simply multiply the two functions as follows:
(f · g)(x) = f (x) · g (x)
(f · g)(x) = 5x³ (x + 1)
(f · g)(x) = 5x⁴ + 5x³
Hope this helps :)
Answer:
-9 and -4
Step-by-step explanation:
Answer: The equation of the parabola is 
.
Explanation:
It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.
The standard form of the parabola is,
Where y=k-p is directrix and (h,k+p) is the focus.
Since focus is given,
On comparing,
.... (1)
The directrix is y=7.
.... (2)
Add equation (1) and (2),
Put this value in (1).
Put p= -6, h= -5 and k=1 in the standard form of the parabola.
Therefore, the equation of parabola is .
Answer: y=-5/4x+7
Step-by-step explanation: You can see, by looking at the graph, that the slope will be negative, so you can eliminate the options with a positive slope. You can take the first point (0,7) and the second point (4,2) and calculate the slope (the change in y divided by the change in x). 7-2 is five, so that gives us our numerator of the slope. 0-4 is -4, so that gives us our denominator. That gives us a slope of -5/4, so the only answer with that slope is the third option, y=-5/4+7. I hope this helps!
Answer: 22
Step-by-step explanation:
(7x+5) + (3x-5) + 90 = 180
10x + 90 =180
-90 -90
10x =90
_ _
10 10
x = 9
3(9)-5
27-5
22
