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Step-by-step explanation:
The answer is 4x + 5y.
Here, what needs to be done is to combine like terms.
- 5x + 4y + 3x - 7y - 4x + 8y
- 5x + 3x - 4x + 4y + 8y - 7y
- 4x + 5y
Answer:
x=30
Step-by-step explanation:
5x+x=180
6x=180
x=30
5x=150
x=30
3x=90
2x=60
The table that has a constant average rate of change represents a linear function.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the <u>change in the output of the function divided by the change in the input</u>.
When this rate is constant, the function is said to be linear, hence the table that has a constant average rate of change represents a linear function.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
464 grams.
Step-by-step explanation:
Amount of substance:
The amount of substance after t years is given by an equation in the following format:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Co-60 has a half life of 5.3 years.
This means that:
We use this to find r. So
![\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B5.3%5D%7B%281-r%29%5E%7B5.3%7D%7D%20%3D%20%5Csqrt%5B5.3%5D%7B0.5%7D)
So
If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?
We have that 
, and use this to find A(0). So
[tex]A(0) = 464[tex]
464 grams.
