Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on
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We are given the two functions 
and 
. Since the question is asking us for the value of x when f(x) is equal to g(x), all we need to do is equate the respective expressions together. This is what the result should be:
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is D) x = 4. Hope this helps and have a great day!
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is D) x = 4. Hope this helps and have a great day!
Ok so we know that the distance around the circle (or circumference) is equal to the diameter times pi.
This means that
d being the diameter,
This means that:
= 12.00028271
= 12 m
So the diameter of the circle is 12 metres.
Hope this helped
This means that
d being the diameter,
This means that:
= 12.00028271
= 12 m
So the diameter of the circle is 12 metres.
Hope this helped