Kate would have borrowed $68.32
The asymptote is
Domain is
Range is
Explanation:
Given that the function is
<u>Asymptote:</u>
The function has no horizontal asymptote.
The given function is of the form, has a vertical asymptote
where
Thus, the vertical asymptote is
<u>Domain:</u>
The domain of the function is the set of all independent x - values for which the function is real and well defined.
Let us find the positive values for log
Thus, we have,
Thus, the function domain in interval notation is
<u>Range:</u>
The range of the function is the set of all dependent y - values of the function.
Hence, the range of the function is
The simplified product of (√6x² +4√8x³)(√9x-x√5x^5) is 3x√6x + 24x^2√2 - x^4√30x - 8x^5√10
<h3>How to determine the
simplified product?</h3>
The product expression is given as:
(√6x² +4√8x³)(√9x-x√5x^5)
Evaluate the exponents
(√6x² +4√8x³)(√9x-x√5x^5) = (x√6 +8x√2x)(3√x - x^3√5x)
Expand the brackets
(√6x² +4√8x³)(√9x-x√5x^5) = x√6 * 3√x + 8x√2x * 3√x - x√6 * x^3√5x - 8x√2x * x^3√5x
This gives
(√6x² +4√8x³)(√9x-x√5x^5) = 3x√6x + 24x^2√2 - x^4√30x - 8x^5√10
Hence, the simplified product of (√6x² +4√8x³)(√9x-x√5x^5) is 3x√6x + 24x^2√2 - x^4√30x - 8x^5√10
Read more about simplified products at
brainly.com/question/20069182
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Answer:
B
Step-by-step explanation:
Answer:
4.2 inches
Step-by-step explanation:
Area of rectangle = base × height
base b, = 15 inches
height h, = unknown
area = 63 inches²
63 = 15 × h
h = 63/15
= 4.2 inches