The correct answers are the 3rd and 4th ones.
Answer:
A.
B. b > 11
C.
D.
Step-by-step explanation:
<u>Given the following algebraic expression;</u>
A.
We would simplify the equation by multiplying all through by 4;
Divide both sides by -3;
B. 5b - 28 > 27
Rearranging the equation, we have;
5b > 27 + 28
5b > 55
Divide both sides by 5
b > 11
C.
Divide both sides by 13
D.
Collecting like terms, we have;
Divide both sides by -1
The equation of the parabola is
.. y = a(x +4)(x -2)
Substituting (x, y) = (6, 10) gives
.. 10 = a(6 +4)(6 -2)
The 4th selection is appropriate.
<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
4 ft x 2 ft = 8 ft² → 8 ft² x 2 = 16 ft²
2 ft x 3 ft = 6 ft² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²