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3 years ago

Simplify the following expression: 2x − 6y + 3x2 + 7y − 14x. 3x2 + 12x + y 3x2 − 12x − y 3x2 − 12x + y 3x2 − 12x − 13y

2 answers:

8 0

-6x-13y
2x+(3x2)-14x+(3x2)+12x+(3x2)-12x+(3x2)-12x+(3x2)-12x
2x+6x-14x+6x+12x+6x-12x+6x-12x+6x-12x=-6
-6y+7y+1y-1y+1y-13y=-13y
if a letter is by itself then there is automatically a one in front of it

ra1l [238]3 years ago

8 0

3x2 − 12x + y would be your answer

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An abstract sculpture in the form of a triangle has a base 21 meters and a height of 12 meters. Find the are of the triangle.

charle [14.2K]

The area of a triangle could be determined using the following formula
$\boxed{a= \frac{1}{2} \times b \times h}$

plug in the numbers
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3 years ago

Read 2 more answers

solve |1 - 4x| > 7 a. {x|x < -1.5 ∪ x > 1.5} b. {x|x < -1.5 ∪ x > 2} c. {x|-1.5 < x < 2}

skelet666 [1.2K]

|1 - 4x| > 7
(1 - 4x) > 7 or (1 - 4x) < -7
-4x > 7 - 1 or -4x < -7 - 1
-4x > 6 or -4x < -8
x < 6/-4 or x > -8/-4
x < -1.5 or x > 2
{x|x < -1.5 ∪ x > 2}

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3 years ago

A machine dispenses water into a glass. Assuming that the amount of water dispensed follows a continuous uniform distribution fr

natima [27]

Answer:

(a) 13 ounces.

(b) 1.732 ounces.

(c) 0.5

(d) 0.33

Step-by-step explanation:

Given : The amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces. So, a=10 and b=16.

(a) The average amount of water dispensed by the machine = (a+b)/2 = (10+16)/2 = 13 ounces.

(b) The standard deviation of the amount of water dispensed = $\int\limits^a_b {\frac{(b-a)^{2} }{12} } \, dx \\$ = √36/12 =√3 = 1.732 ounces.

(c) P (13 or more ounces will be dispensed in a given glass) = $\int\limits^a_b {f(x)} \, dx$ = $\int\limits^b_a {\frac{dx}{b-a} } \, dx$ = 0.5

(d) P (between 12 and 14 ounces will be dispensed in a given glass) = ( here a=12 and b=14.) $\int\limits^a_b {f(x)} \, dx$ = $\int\limits^b_a {\frac{dx}{b-a} } \, dx$ = 0.33

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3 years ago