Response:
The factored expression
is
.
Detailed explanation:
Provided: 
Our goal is to express the given equation in a factored form.
Factoring pertains to rewriting an expression so that the product of its factors yields the original expression
Let’s consider the expression
.
We recognize the algebraic identity 
Thus, we have
.
Matching with the above identity, we assign x= a, and b = 11, leading to
.
Consequently, the factored expression
is
.
Answer:
1. 8.4 2. 15
Step-by-step explanation:
1. 4x + 8y = 40
when y = 0.8
4x + 8 × 0.8 = 40
4x = 40 - 8 × 0.8
4x = 40 - 6.4 = 33.6
....x = 33.6 / 4 = 8.4
2. 3a + b = 54
when b = 9
3a + 9 = 54
3a = 54 - 9
3a = 45
.....a = 45 / 3 = 15
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Answer:
The main aspects are
50ft³ = volume
0.5ft³/min = filling rate
Time= 100 minutes
Step-by-step breakdown:
Chiang is in the process of filling a 50ft container with water at a speed of 0.5 ft/min.
50ft³ = volume
0.5ft³/min = flow rate
It’s important to note that we still need to determine how long it will take to fill the 50 ft³ container.
Time = volume / rate
Time = 50 ft³ / 0.5 ft³/min
Time = 50 / 0.5 min
Time = 100 min
The main aspects are
50ft³ = volume
0.5ft³/min = filling rate
Time= 100 minutes
Answer: refer to the image
Step-by-step explanation:
Answer: 12 days
Step-by-step explanation:
Distance = speed x time
2214.50 = 21.14 / t
t = 2214.50 / 21.14 = 104.75 hours
By cycling 9 hours each day, it will take
104.75 / 9 = 11.64 = 12 days