Answer:
a) domain: (0, ∞)
b) range: (-∞, ∞)
c) increasing everywhere
d) concave downward
Step-by-step explanation:
a) Your knowledge of the log function tells you it is defined for positive arguments. 9x > 0 means x > 0. The domain is all positive real numbers.
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b) Your knowledge of the log function tells you it has output values ranging from -∞ to +∞. The range is all real numbers.
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c) The function is monotonically increasing.
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d) Since the output does not increase as fast as the input (the first derivative is decreasing), the function is concave downward.
Answer:
c
Step-by-step explanation:
i have big brain
Area of a trapezoid = h/2 ( a + b) where h = height and a and b are the lengths of the 2 parallel sides.
So here we have
Area = 12/2 ( 18 + 23)
= 246 in^2 Answer
ii . volume of a sphere = 4/3 pi r^3 so
1436.03 = 4/3 pi r^3
r^3 = 1436.03 / (4/3 * pi) = 342.827
r = cube root of 342.827 = 7.0 m Answer
You're given the slope of the line and a point thru which the line passes. So it makes sense to use the point-slope form of the equation of a straight line: if the point is (a,b) and the slope is m, then
y-b=m(x-a). You'd then solve this for y to obtain the equation in slope-intercept form.
On the other hand, if you're asked to write the equation in slope-intercept form, starting with the general form of this equation may be faster: y=mx+b.
Substitute the given values for x and y (which are 25 and -9) and m (which is (2/5). Solve the resulting equation for b (the y-intercept).
Then write the finished equation: y=( ? )x + b, where b is the y-intercept you've just found.
