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Ksju [112]
3 years ago
13

SImplify: ((x+3)/9)/((x+12/)6)

Mathematics
1 answer:
dexar [7]3 years ago
5 0
Flip the bottom part after the "/" so you get ((x+3)/9)*(6/(x+12)) Cancel and multiply to get 2(x+3)/3(x+12) this is as simplified as it is going to get.
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How many possible triangles? please help fast
irinina [24]

Answer:

one triangle

Step-by-step explanation:

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4 0
2 years ago
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Naddika [18.5K]
The answer is the first one
7 0
3 years ago
If y= 3x + 6, what is the minimum value of (x^3)(y)?
Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of (x^3)(y)

Let f(x) = (x^3)(y)

Substitute the value of y ;

f(x)=(x^3)(3x+6)

Distribute the terms;

f(x)= 3x^4 + 6x^3

The derivative value of f(x) with respect to x.

\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)

Using \frac{d}{dx}(x^n) = nx^{n-1}

we have;

\frac{df}{dx} =(12x^3+18x^2)

Set \frac{df}{dx} = 0

then;

(12x^3+18x^2) =0

6x^2(2x + 3) = 0

By zero product property;

6x^2=0   and 2x + 3 = 0

⇒ x=0 and x = -\frac{3}{2} = -1.5

then;

at x = 0

f(0) = 0

and  

x = -1.5

f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625


Hence the minimum value of (x^3)(y) is, -5.0625






3 0
3 years ago
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Olin [163]

Answer:

Step-by-step explanation:

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From the given information, we have that:

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3 0
9 months ago
Read 2 more answers
Learning Theory Students in a psychology experiment were given an exam and then retested monthly with equivalent exams. The aver
forsale [732]

Answer:

Step-by-step explanation:

The average scores s (on a 100 point scale) for the students can be modeled by

s = 75 - 6 In(t + 1), 0 < t < 12

where t is the time in months.

a) Since the students were given an exam and then retested monthly with equivalent exams, then,

For the original exam, t = 0

Therefore,

s = 75 - 6 In(0 + 1) = 75 - 6 In1

s = 75 - 6 × 0 = 75

b) the average score after 4 months, t = 4

Therefore,

s = 75 - 6 In(4 + 1) = 75 - 6 In5

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6 In(t + 1) = 75 - 60 = 15

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t + 1 = e^2.5 = 12.18

t = 12.18 - 1 = 11.18

t = 11 approximately

8 0
2 years ago
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