Answer:
(f • g)(3) = 186
Step-by-step explanation:
The area of a rectangle is (length)(width).
Here, (length) = x + 3 and (width) = 12x - 5, and so the area as a function of x is
(f • g)(x) = (x + 3)(12x - 5) = 12x^2 - 5x + 36x - 15.
This simplifies to:
(f • g)(x) = (x + 3)(12x - 5) = 12x^2 + 31x - 15.
Evaluating this function at x = 3, as instructed, we get:
(f • g)(3) = (12)( - 5) = 12(3)^2 + 31(3) - 15.
Carrying out the indicated operations, we get: 108 + 93 - 15, or
(f • g)(3) = 186
Answer:
its 10 times
Step-by-step explanation:
its because the value of 1 in the ten place and multiply by 10 to get the 1 in the hundred place or the 1 in the hundred place divide by 10 to get 1 in the tens place
Answer:
45 degrees
Step-by-step explanation:
Since we have a right triangle, we use the appropriate trigonometric ratio
The angle marked P faces QR and that makes it the opposite side
PR faces the right angle and that makes it the hypotenuse
The trigonometric ratio that links the opposite and the hypotenuse is the sine
It is the ratio of the opposite to the hypotenuse
Thus;
sin P = √26/2 √13
Sin P = √2/2
P = arc sin √2/2
P = 45 degrees
Answer:
y= 5x + 3
Step-by-step explanation:
This is because you solve for slope, which is 5, then plug that into point slope form to get:
y - 8 = 5(x - 1)
y - 8 = 5x - 5
y = 5x + 3.
It is Figures A,B, and C. Answer D is not a polygon.
