Answer:
16.5 square units
Step-by-step explanation:
You are expected to integrate the function between x=1 and x=4:
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<em>Additional comment</em>
If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.
The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.
This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...
area = 4.5 +3×4 = 16.5 . . . square units
Answer:
x = 120
Step-by-step explanation:
Assuming you require to find the value of x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
140 + 150 + 90 + x + 130 + 90 = 720 , that is
x + 600 = 720 ( subtract 600 from both sides )
x = 120
The sofa will cost $539.97
The love seat will cost $276
Just multiply each cost by .4 Then minus that from the cost.
Hope that helped
Answer: a₁₁ = -11 a₁₂ = -16 a₁₃ = 6 a₁₄ = -10
<u>Step-by-step explanation:</u>
"A" represents the following matrix of unknown values [a₁₁ a₁₂ a₁₃ a₁₄]
[a₁₁ a₁₂ a₁₃ a₁₄] + [11 17 -8 13] = [0 1 -2 3]
a₁₁ + 11 = 0 --> a₁₁ = 0 - 11 = -11
a₁₂ + 17 = 1 --> a₁₂ = 1 - 17 = -16
a₁₃ + -8 = -2 --> a₁₃ = -2 + 8 = 6
a₁₄ + 13 = 3 --> a₁₄ = 3 - 13 = -10
