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IRINA_888 [86]
4 years ago
11

Solve for f. Give an exact answer. 9f=1/2(12f-2)

Mathematics
2 answers:
krek1111 [17]4 years ago
8 0

Answer:

Step-by-step explanation:

9f=6f−1

Move all terms containing f

to the left side of the equation.

3f=−1

Divide each term by 3

and simplify.

f=−1/3

The result can be shown in multiple forms.

Exact Form:

f=−1/3

Decimal Form:

f=−0.¯3

Alexandra [31]4 years ago
7 0

Answer:

9f=1/2(12f-2)

simplify the equation to the form, which is simple to understand  

9f=1/2(12f-2)

Reorder the terms in parentheses

9f=+(+6f-1)

Remove unnecessary parentheses

+9f=+6f-1

move all terms containing f to the left and all other terms to the right.  

+9f-6f=-1

simplify left and right side of the equation.  

+3f=-1

divide both sides of the equation by 3 to get f.  

f=-0.33333333333333

Step-by-step explanation:

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LenaWriter [7]

Answer:

The initial temperature of the object was 37.6 degrees Celsius

The initial temperature of the object was 37.6 (without units)

Step-by-step explanation:

we have

f(t)=Ce^{(-kt)} +20

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

<em>Find the value of the constant C</em>

we have the ordered pair (4,35)

substitute in the equation and solve for C

35=Ce^{(-0.0399*4)} +20

Ce^{(-0.0399*4)}=15

C=15/e^{(-0.0399*4)}

C=17.6

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

so

For t=0

f(0)=(17.6)e^{(-k*0)} +20

f(0)=17.6 +20

f(0)=37.6\ degrees\ Celsius

therefore

The initial temperature of the object was 37.6 degrees Celsius

The initial temperature of the object was 37.6 (without units)

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A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo
avanturin [10]

Answer:

0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

Here,  x represents the number of female gazelles and y represents  the number of male gazelles.

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7 0
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