The answer is D. You can rule out A and B by looking at the x value of 0 because the corresponding y value is 7 so you need to add 7 to a number multiplied by 0. And then you know it's not C because if you plug in the 0 for x it doesn't work.
f(x) = sqrt [( x - 3) / (x - 5)]
well x cannot be 5 because that would make x - 5 = 0.
Also the fraction x - 3 / x - 5 cannot be negative because theres no real square root of a negative.
So x must be <= 3 or > 5
In interval notation the domain is ( -∞,3] or (5 , ∞)
Answer:
3/8 is smaller than 8/10. Just by comparing the denominators you can decide how big or small the fraction will be. If its a larger number, its a smaller fraction.
Step-by-step explanation:
36 minutes.
(1/20)x+(1/30)x=1solve for x (x=0.8333333333......)
Considering they take the same times for all 3 pounds,
That would mean that since 1 pound takes 12 minutes, then 3 pounds take 36 minutes
Instead of using the quotient rule, you can first expand <em>y</em> :
<em>y</em> = (4<em>x</em> - 1)^2 / <em>x</em> ^2 = (16<em>x</em> ^2 - 8<em>x</em> + 1) / <em>x</em> ^2 = 16 - 8/<em>x</em> + 1/<em>x</em> ^2
Then the derivative is
d<em>y</em>/d<em>x</em> = -8/<em>x</em> ^2 - 2/<em>x</em> ^3
The tangent to the curve at (-1, 25) then has a slope or gradient of
d<em>y</em>/d<em>x</em> = -8/(-1)^2 - 2/(-1)^3 = -6