Answer:
18 Inches
Step-by-step explanation:
Answer:
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Answer:
P(5) - P(3) = 4
Step-by-step explanation:
<em>Lets explain how to solve the problem</em>
Assume that P(x) is a linear function, that because the sum of P(2x),
P(4x), and P(6x) is linear ⇒ (24x - 6 is linear)
∵ The form of the linear function is y = ax + b
∴ P(x) = ax + b
Substitute x by 2x
∵ P(2x) = a(2x) + b
∴ P(2x) = 2ax + b
Substitute x by 4x
∵ P(4x) = a(4x) + b
∴ P(4x) = 4ax + b
Substitute x by 6x
∵ P(6x) = a(6x) + b
∴ P(6x) = 6ax + b
Add the three functions
∴ P(2x) + P(4x) + P(6x) = 2ax + b + 4ax + b + 6ax + b
Add like terms
∴ P(2x) + P(4x) + P(6x) = 12ax + 3b ⇒ (1)
∵ P(2x) + P(4x) + P(6x) = 24x - 6 ⇒ (2)
Equate (1) and (2)
∴ 12ax + 3b = 24x - 6
By comparing the two sides
∴ 12a = 24 and 3b = -6
∵ 12a = 24
Divide both sides by 12
∴ a = 2
∵ 3b = -6
Divide both sides by 3
∴ b = -2
Substitute these values in P(x)
∵ P(x) = ax + b
∴ P(x) = 2x + (-2)
∴ P(x) = 2x - 2
Now we can find P(5) - P(3)
∵ P(5) = 2(5) - 2 = 10 - 2 = 8
∵ P(3) = 2(3) - 2 = 6 - 2 = 4
∴ P(5) - P(3) = 8 - 4 = 4
* P(5) - P(3) = 4
Answer: below(=
Step-by-step explanation: Given that,
dimensions of wall = 8.3ft by 7.5ft
height of wall = 8.3
width of wall = 7.5
there are total 3 walls in a bedroom to be painted blue.
Formula to calculate area of one wall
Height x Width
Formula to calculate area of four walls
3 (Height x Width)
= 3( 8.3ft x 7.5ft)
= 3 (62.25 ft²)
= 186.75 ft²
So area Alyssa will paint = 186.75 ft²
Subtract x^10 from both sides. add 17 to both sides. divide both sides by 7.3 take root and the answer should be x=1.08821, -1.08821
