Answer:
the answer is y=2x-3
Step-by-step explanation:
4/2=2 slope
1-4= -3 y-intercept
hope this helps!
<h2>
Hello!</h2>
The answer is: There is a total of 5.797 gallons pumped during the given period.
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Why?</h2>
To solve this equation, we need to integrate the function at the given period (from t=0 to t=4)
The given function is:
So, the integral will be:
So, integrating we have:
Performing a change of variable, we have:
Then, substituting, we have:
Reverting the change of variable, we have:
Then, evaluating we have:
So, there is a total of 5.797 gallons pumped during the given period.
Have a nice day!
Answer:
AB is 31.
Step-by-step explanation:
So we know that B is the midpoint of AC. This means that:
by the definition of midpoint.
We know that AB is 2x+1 and BC is 5x-44. Substitute:
Now, find the value of x.
Subtract 1 from both sides:
Subtract 5x from both sides:
Divide both sides by -3:
So, the value of x is 15.
AB is 2x+1.
Substitute 15 into x. So:
Multiply:
Add:
So, the length of AB is 31.
And we're done!
Complete the square: x^2 + 24x = 17
Identify the coefficient of x. It is 24. Take half of that coefficient: 24/2 = 12.
Now add the square of 12 to both sides of x^2 + 24x = 17
x^2 + 24x + 144 = 17 + 144
Write in factored form:
(x + 12)^2 = 161
Taking the square root of both sides:
x+12 = plus or minus