A model with 12 squares labeled exact value and 3 squares labeled error. A model with 18 squares labeled exact value and 3 squar
2 answers:
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Answer:
d. 9x + 63 and 63 square feet
Step-by-step explanation:
Given
Original
Extended
Required
Determine an expression and the value of the extended area
First, we calculate the area of the original desk
From the given parameters, we have:
--- area of the new surface
Open bracket
The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)
So:
Make E the subject
Hence, the area of the extended portion is 63
Answer:
The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.
⇒The water level in the pool cannot exceed 14 feet.
Step-by-step explanation:
The question is on inequalities
Given;
Length= x ft
depth= x-6 ft
Width= x-8 ft
volume ≤ 1680 ft³
Forming the inequality to find length x of the pool
Volume= base area × depth
base area × depth ≤ volume
x(x-8) × (x-6) = 1680
(x²-8x )(x-6) = 1680
x(x²-8x) -6 (x²-8x)=1680
x³-8x²-6x²+48x=1680
x³-14x²+48x=1680
x³-14x²+48x-1680 ≤ 0
⇒The water level in the pool cannot exceed 14 feet...why?
taking the value of x at maximum to be 17 according to the graph, then maximum depth will be;
d=x-6 = 17-6=11 ft
⇒11 ft is less than 14ft
