Answer:
<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>
Step-by-step explanation:
• General quadratic equation:

• sum of roots → 4 + 5 = 9
• product of roots → 4 × 5 = 20
• substitute:

Answer:

The problem:
Find
if
,
, and
.
Step-by-step explanation:


Replace
in
with
since we are asked to find
:
![\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B3%7D%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
![\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%2B2%7D%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
This implies that 
Let's check:



![\sqrt[3]{(x+1)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28x%2B1%29%2B2%7D)
![\sqrt[3]{x+1+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%2B2%7D)
which is the required result for
.
Answer:
13.018
Step-by-step explanation:
14.15 minus 8 percent = 13.018
The surface area of the regular hexagonal pyramid is
SA = (1/2) pl + B
where p is the perimeter of the base, l is the slant height of the pyramid, and B is the area of the base
The area of a regular hexagon is 3 sh
where s is the length of the side and h is the length of the apothem.
So,
SA = (1/2)(6)(12) (11) + 3(12)(6sqrt3)
SA = 770 square meters
Answer:
It is <em>a</em> solution, one of an infinite number of solutions.
Step-by-step explanation:
You can check to see if the given point is in the solution set:
4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes
-2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes
The offered point satisfies both inequalities, so is in the solution set. It is not <em>the</em> solution, but is one of an infinite number of solutions.