Answer:
In this question, we can use the Pythagorean theorem to solve for x.
11^2 + x^2 =24^2
x^2 = 24^2 -11^2
x is about 21.3
Let me know if this helps!
Given:
Current revenue = $6000
<span>R(f)= -100f^2 + 400f + 6000
where f is a whole number of $5 fee increases
We are told to find f, when R(f) </span><span>< 6000
Since </span>R(f)= -100f^2+400f+6000
R(f) < 6000 ⇒ -100f^2+400f+6000 < 6000
Subtract 6000 from both sides
-100f^2 + 400f + 6000 - 6000 < 6000 - 6000
-100f^2 + 400f < 0
⇒ 400f - 100f^2 < 0
Divide the equation by 100
400f/100 - 100f^2/100 < 0/100
4f - f^2 < 0
Add f^2 to both sides of the equation
4f - f^2 + f^2 < 0 + f^2
4f < f^2
Divide both sides by f
4f/f < (f^2)/f
4 < f
⇒ f > 4
⇒ f ≥ 5
Therefore, <span> for 5 or more numbers of $5 fee increases, the revenue from fees will actually be less than its current value.</span>
Answer: The answer is m=300.
Step-by-step explanation: Step 1. Simplify the both sides of the equation:
.
And step 2. Multiply the both sides by
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It would probably be 56.55
Answer:
The value of x is 6 and -6. The smallest value of x is -6
Step-by-step explanation:
2/3 x² = 24
solving this equation for finding the value of x.
Multiply both sides by 3/2
x² = 24 * 3/2
x² = 72/2
x² = 36
Now, to find the value of x taking square root on both sides
√x² = √36
x= ±6
So, the value of x is 6 and -6. The smallest value of x is -6