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vlabodo [156]
3 years ago
15

What's 6x to the tenth power divided by12x to the second power

Mathematics
1 answer:
ehidna [41]3 years ago
4 0

Answer:

\frac{1}{2} x⁸

Step-by-step explanation:

Given expression:

       \frac{6x^{10} }{12x^{2} }  

= \frac{6}{12}  x \frac{x^{10} }{x^{2} }  

   As a rule of exponents;

         \frac{a^{n} }{a^{m} }  = a^{n-m}

So;

            =  \frac{1}{2} x x^{10-2}  

            = \frac{1}{2} x⁸

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(a) The Feelgood Gym has a monthly membership fee of $100 and it charges an addi-
Ierofanga [76]

If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.

a. Monthly membership fee = $100

Additional amount charged = $1 per hour.

If I use the gym for x hours in a month, the total cost in terms of x will be:

= 1000 + 1(x)

= 1000 + x

b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:

= 35 + 3.50(x)

= 35 + 3.5x

c. The number of hours that will give same cost will be:

1000 + x = 35 + 3.5x

Collect like terms.

1000 - 35 = 3.5x - x

965 = 2.5x

x = 965/2.5

x = 386

In 386 hours, the total cost will be the same.

Read related link on:

brainly.com/question/24515212

5 0
2 years ago
Every day Amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The aver
sukhopar [10]

Answer:

26

Step-by-step explanation:

3 0
3 years ago
What is the inverse of the function f(x) = 2x – 10?
Lana71 [14]

Answer:

h(x)=\dfrac{x}{2}+5

Step-by-step explanation:

You are given the function f(x)=2x-10. To find the inverse function f^{-1}(x) do such steps:

1. Rewrite the function f(x) as

y=2x-10

2. Express x in terms of y:

y+10=2x\\ \\x=\dfrac{y}{2}+5

3. Change x into y and y into x:

y=\dfrac{x}{2}+5

Now, the inverse function is

f^{-1}(x)=\dfrac{x}{2}+5

7 0
3 years ago
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Which of the following pairs show two congruent triangles?
Dvinal [7]

Answer:

B and C

Step-by-step explanation:

They're congruent

4 0
2 years ago
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The length of a garden is 5m greater than the width. the area is 66m^2. Find the dimensions of the garden.
11Alexandr11 [23.1K]
W^2+5w-66=0 
Factor 
(w+11)(w-6)=0 

w+11=0 
w=-11 (not possible - cant have negative length 

w-6=0 
w=6 

L(6)=66 
L=11 

Width = 6 
Length = 11
8 0
3 years ago
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