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.
Step-by-step explanation:
-2+8 is the same as 8-2 which equals 6.
Answer:
Step-by-step explanation:
Factorise the denominators of both fractions
x² - 9 and x² - 4 are both differences of squares and factor as
x² - 9 = (x - 3)(x + 3) and x² - 4 = (x - 2)(x + 2), thus express as
× 
Cancel the factors (x + 3) and (x + 2) from the numerators/denominators of both fractions leaving
The answer is B x = -4. x= 3
You must factor the equation by find what 2 numbers can multiply to equal -12 and add to equal 1.
-3 and 4 are the two numbers. Now to put it in factor form would be:
(x - 3)(x + 4) = 0
They y also must equal zero.
Since its equals to 0, we must solve for x for the binomial.
x - 3 = 0 ; x = 3
x + 4 = 0 ; x = -4
The answer you get from solving x, is that answer
Answer:
volume of cyclinder=πr²h
=3.14×2²×3=37.68cm³
rectangular prism volume=6×5×7
=210cm³
total volume=37.68+210=247.68cm³
