216 x 3 = 648
If you want to add the hot dogs to that number it would be 864
3 times 216 is 648 cans of soda
plus 216 of hot dogs
so you have 216 hot dogs and 648 sodas
Answer:
2 ^ (x - 3) ÷ 2 ^ 3(2y - 3)=2 ^ 4(x - y)
The two are common so we give it out then
x - 3 ÷ 6y - 9 =4x - 4y
x - 3 -4x - 4y = 6y -9
-3x -2y = -6
6=3x+2y
The linear function for the number of trimmers assembled is:
y = 7 + 4x.
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A linear function has the following format:

In which:
- a is the rate of change.
- b is the fixed amount.
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- In an earlier shift, 7 trimmers had already been produced, thus 7 is the fixed amount, that is,
. - Diane assembles 4 trimmers per hour, thus the rate of change is 4, that is,

- The <u>amount of trimmers y produced after x hours</u> is given by:

A similar problem is given at brainly.com/question/16302622
The value of the exponents in simple exponential form is
.
The mathematical operation of exponentiation, written as bⁿ, involves the base number (b) and the exponent (or power) number (n). The way to say this word is "b (elevated) to the (power of) n."
- Exponentiation corresponds to repeated base multiplication when n is a positive integer since bⁿ is the outcome of multiplying n bases. The exponent is often displayed to the right of the base as a subscript.
- The phrase "b to the nth power" or simply "b to the nth" is used to refer to bn. Other variations are "b (raised) to the power of n," "the nth power of b," and "b to the power of n" and "b to the nth power,"
The properties of exponents tell us that when the bases are equal then on multiplication the powers are added and on division the powers are subtracted.
![\sqrt[5]{5^y} \cdot(5^4)^3 = 5^{\frac{y+60}{5} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B5%5Ey%7D%20%5Ccdot%285%5E4%29%5E3%20%3D%205%5E%7B%5Cfrac%7By%2B60%7D%7B5%7D%20%7D)
![\sqrt[5]{5^x} \cdot(5^4)^3 = 5^{\frac{x+60}{5} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B5%5Ex%7D%20%5Ccdot%285%5E4%29%5E3%20%3D%205%5E%7B%5Cfrac%7Bx%2B60%7D%7B5%7D%20%7D)
Therefore the properties of exponents can be used to find the exponential solutions.
To learn more about exponents visit:
brainly.com/question/15993626
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