Answer:
2 x^2 - 3 x + 6
Step-by-step explanation:
Simplify the following:
-(3 x^2 + 4 x - 17) + 5 x^2 + x - 11
-(3 x^2 + 4 x - 17) = -3 x^2 - 4 x + 17:
-3 x^2 - 4 x + 17 + 5 x^2 + x - 11
Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):
(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)
5 x^2 - 3 x^2 = 2 x^2:
2 x^2 + (x - 4 x) + (-11 + 17)
x - 4 x = -3 x:
2 x^2 + -3 x + (-11 + 17)
17 - 11 = 6:
Answer: 2 x^2 - 3 x + 6
Answer:
Step-by-step explanation:
6< 3x + 9
-3x < 9-6
-3x < 3 .( -1 )
3x > 3
x > 3/3
x > 3
3x + 9 ≤ 18
3x ≤ 18-9
3x ≤ 9
x ≤ 9/3
x ≤ 3
S = {XeIR/ 3 > x ≤ 3 }
Not sure if the solution looks like this
Answer: [D]: " 196π in.³ " .
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Explanation:
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Given: radius, "r", equal 7 in.
Given: height, "h", equals 4 in.
Volume: V = Base area * h ;
The base area of a cone is a circle: A = π * r² = π* (7²) = 49π .
(NOTE: Since all answer choices given are in terms of "π" ; we will leave the units in terms of "π").
V = (Based area) * h = (49π in.) * (4 in.) = (49*4)π in.³
= 196π in.³ ; which is: Answer choice: [D] .
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Answer: 12.37ft
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Step-by-step explanation:
The formula to find the missing side of a triangle is a^2 + b^2 = c^2
so all you have to do is put 3 and 12
3^2 + 12^2 = c^2
9 + 144 = c^2
153 = c^2
√153 = 12.37