2. Find the area of the region bounded by the graphs of y = -x2 + 3x + 4 and y = 4. (5 points)

Mathematics

1 answer:

Kipish [7]3 years ago

8 0

Answer:

4.5 sq. units

Step-by-step explanation:

area = -⅓x³+3/2 x² ] 0 to 3

= -⅓(3)³+ 3/2 (3)² -0

= -9 + 27/2

= -9 + 13.5

= 4.5 sq. units

You might be interested in

Find two possible factors for the estimated product 1600

TEA [102]

Two factors that give a product of 1600 can be 80 × 20

4 0

3 years ago

Pls help, 20 points!!

klemol [59]

Answer:

(-18,9)

Step-by-step explanation (work shown in picture attached):

1) The first step in solving by substitution is to isolate the y-term in one of the equations if it is not already isolated. Isolate y in the first equation by dividing both sides by -2. This leaves us with the equation $y = \frac{-x}{2}$

2) Now, substitute $\frac{-x}{2}$ for the y in the second equation. Simplify and isolate x. (You can multiply everything by -2 to get rid of the fraction.) This leaves us with x = -18.

3) We've found the x-value of the solution, -18. Now, substitute -18 for x back into one of the original equations (I chose the first one because it was simple) and isolate y. This gives us y = 9. Thus, in point form, the answer is (-18,9).