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lisabon 2012 [21]
3 years ago
12

Find the domain of the function f of x equals square root of the quantity twelve x plus twenty four

Mathematics
2 answers:
damaskus [11]3 years ago
7 0
F ( x ) = √( 12 x + 24)
12 x + 24 ≥ 0
12 x ≥ - 24
x ≥ - 24 : 12
x ≥ - 2
Answer:
The domain of the function is:
x ∈ [ - 2, + ∞ )
Elanso [62]3 years ago
3 0
F(x) = √(12x + 24)
The equation will become discontinuous if the value within the square root becomes less than zero. Therefore, it must be greater than or equal to zero.
12x + 24 ≥ 0
x ≥ -2
Domain: -2 ≤ x < ∞
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The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
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H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 
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cam lobes are on sale at 4 different grocery stores. which store offers the lowest unit rate for cantaloupes in dollars per poun
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Answer:

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Step-by-step explanation:

Given

1.  $4.50 for 5 pounds

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3. $4.00 for 5 pounds

Required

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To do this, we simply divide the price by the weights in each store

For Store 1:

Unit\ Rate = \frac{\$4.50}{5\ lb}

Unit\ Rate = \$0.9/lb

For Store 2:

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For Store 3:

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