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STALIN [3.7K]
3 years ago
7

Help me please i’m so far behind and i’m trying to finish before summer ends im freaking out

Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer:

The equation 2.5x -10.5 = 64(0.5^x) is true when x=5

Step-by-step explanation:

we need to solve the equation 2.5x -10.5 = 64(0.5^x)

We have to put the given values of x in the functions f(x) and g(x) and find their values

x     f(x) = 2.5x -10.5            g(x) = 64(0.5^x)

2     2.5(2)-10.5 = -5.5          64(0.5^2) = 16      

3     2.5(3) - 10.5 = -3           64(0.5^3) = 8

4     2.5(4) - 10.5 = -0.5        64(0.5^4) = 4

5     2.5(5) - 10.5 = 2            64(0.5^5) = 2

6     2.5(6) - 10.5 = 4.5         64(0.5^6) = 1

So, we need to solve the equation 2.5x -10.5 = 64(0.5^x)

This holds when x = 5 as shown in the table above.

frozen [14]3 years ago
3 0
The correct answer is 5
Solve for x by simplifying both sides of the equation, then isolating the variable.
X=5
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blsea [12.9K]

Answer:

Step-by-step explanation:

The population in 2003= 47000

Since the population increase by 1200 every year,

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in 2005 the population will be 47000+(1200+1200) which is the same as

47000+2(1200) where 2 is 2 years after 2003,

Therefore the population x years after 2003 is 47000+x(1200).

P= 47000+1200x

b) The population at 2009 which is 6 years after 2003 will be

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The population at 2009 is 54200,

7 0
3 years ago
A single tennis court is 75% the width of a doubles tennis court. The singles court is 27 feet wide. How wide is the doubles cou
grandymaker [24]
X = 75% * y

Where 'x' is the single tennis court width, and 'y' is the doubles tennis court width.

Plug in what we know:

27 = 75% * y

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Divide 0.75 to both sides:

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6 0
3 years ago
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Solve for x: 14-x= 5
tia_tia [17]

Answer:

x = 9

Step-by-step explanation:

We are going to isolate x

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multiply both sides by -1 to make x positive

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Hey there Ag484p1stit,

Answer:

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4 0
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3 years ago
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