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Mamont248 [21]
3 years ago
5

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

Step-by-step explanation:

f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if  a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2  If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.

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Which is a number that can be written as a fraction in the form /?
mel-nik [20]

Answer:

the third one/second one

Step-by-step explanation:

7 0
3 years ago
A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.
vichka [17]

Answer:

14878.04878miles/hours^2

Step-by-step explanation:

Let's find a solution by understanding the following:

The acceleration rate is defined as the change of velocity within a time interval, which can be written as:

A=(Vf-Vi)/T where:

A=acceleration rate

Vf=final velocity

Vi=initial velocity

T=time required for passing from Vi to Vf.

Using the problem's data we have:

Vf=65miles/hour

Vi=6miles/hour

T=14.8seconds

Using the acceleration rate equation we have:

A=(65miles/hour - 6miles/hour)/14.8seconds, but look that velocities use 'hours' unit while 'T' uses 'seconds'.

So we need to transform 14.8seconds into Xhours, as follows:

X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)

X=0.0041hours

Using X=0.0041hours in the previous equation instead of 14.8seconds we  have:

A=(65miles/hour - 6miles/hour)/0.0041hours

A=(61miles/hour)/0.0041hours

A=(61miles)/(hour*0.0041hours)

A=61miles/0.0041hours^2

A=14878.04878miles/hours^2

In conclusion, the acceleration rate is 14878.04878miles/hours^2

7 0
4 years ago
The slope and unit rate
Julli [10]
The slope is 4/5 I think
6 0
3 years ago
F the price of a pair of shoes is $35.00 before tax, and tax is 20%, what will the final price of the pair of shoes be?
azamat

Answer:

$42

Step-by-step explanation:

35·0.20=7

tax is $7

35+7=42

the final price is $42

5 0
3 years ago
The perimeter of a rectangle garden is 348 feet if the length of the garden is 93 feet what is the width?
Ber [7]
The width is 81 feet. 
93(2)+81(2)=348
3 0
3 years ago
Read 2 more answers
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