Gabe mowed 5 lawns and made $150.
1/2x + y = 3
Rearrange the equation to achieve the slope-intercept form. (y=mx+b)
1/2x + y = 3
Eliminate 1/2x from both sides.
y = -1/2x + 3
The y-intercept (where the line intersects the y-axis) is three, and the slope (the change in y over the change in x) is -1/2.
Hope this helps!
The likelihood that at least one trip occurs before Isabella's birth is 0.7627.
Step-by-step explanation:
In this scenario, Isabella has invented a time machine, but she lacks control over where she travels. Each use of the device holds a 0.25 probability of leading her to a time preceding her birth. Over the initial year of trials, she operates her machine 5 times. If we assume every journey has an equal chance of going back in time, we can calculate the odds that at least one of these trips occurs before she was born. Here's the calculation:
The probability of traveling to a time prior to her birth is 0.25.
The chance of not traveling back in time, given that the machine is used 5 times:
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The probability that at least one trip goes before Isabella's birth is equal to 1 minus the probability of not traveling back to that period:
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⇒ 
Consequently, the chance that at least one trip travels before Isabella's birth is 0.7627.
Answer : y>0
f(x) = 9*2^x
This function is exponential in form

Substituting positive numbers for x yields positive y values
Substituting negative numbers for x also results in positive y values
Therefore, y remains positive regardless of the value of x.
The range comprises all possible y outputs of the function
Since y is always positive, the range is y > 0