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Answer: Graph 3
Explanation: Only one that satisfies both patterns
I hope this helped!
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- Zack Slocum
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The surface area would be 150cm and the volume would be 125cm. To get volume you do 5 cubed to get the answer 125. To get surface area you would do 5 multiplied by 5 multiplied by the cubes 6 sides to get 150.
Hey there! I'm happy to help!
Let's think of this as the equation y=mx+b, where m represents the slope and b equals the y-intercept.
The y-intercept is where the line hits the y-axis. As we can see, it hits it at the y-value of zero. Therefore, our equation is just left as y=mx now because b is 0.
We want to find the slope now. This is known as the rise/run, or the y/x. This is basically saying how far up it goes for every one step to the right. If we go to the x-value of one, we see that the y-value is at a little bit less than one. We want to keep on moving to the right until the y-value is at a nice integer value (number without fractions).
If we keep on moving to the right, we see that at the x-value of 3, the y is at 2. This means that the slope is 2/3. And it makes sense! When we were looking at that value of 1, the y-value was less than one and looked like it was at about 2/3, or 0.666....
This will apply to all points on the line. Our y will always be 2/3 of what x is.
Therefore, the equation is y=2/3x
I hope that this helps! Have a wonderful day!
Answer: (-∞, 65/3)
Step-by-step explanation:
Answer:
The solution of the equation is 
⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve this problem
- The function f(x) = e^x is called the (natural) exponential function
- The natural logarithm (㏑), or logarithm to base e, is the inverse
function to the natural exponential function
∵ 
is an exponential function
∴ We can solve it by using the inverse of e (㏑)
- Remember:
# 
# 
- Insert ln in both sides
∴ 
∵ 
∴ 2x + 5 = ㏑(4)
- Subtract 5 from both sides
∴ 2x = ㏑(4) - 5
- Divide both sides by 2 to find x
∴ 
* The solution of the equation is
