Answer:
45°
Step-by-step explanation:
= 45°
What is the answer of 24:93=5:?
1 answer:
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Answer:
Step-by-step explanation:
Split it up like this to make it easier to work with:
Since the only thing in the denominator of those fractions is a 3, we can only divide the 27 by 3, not the x or y terms. Same thing with the second fraction. 27 divided by 3 is 9 and 15 divided by 3 is 5, so
is the solution. It is not completely simplified, but that isn't what you asked for, so this should suffice as the answer.
Answer:
- turning point: (0, -1)
- domain, range: all real numbers
- x-intercept: (1/27, 0)
- y-intercept: (0, -1)
- transformations: vertical expansion by a factor of 3; translation down 1
Step-by-step explanation:
There are a couple of transformations that may be of interest:
g(x) = k·f(x) . . . . vertical scaling by a factor of k
g(x) = f(x) +k . . . vertical translation by k units (up)
g(x) = f(x -k) . . . horizontal translation by k units (right); <em>not used here</em>
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Unlike the square root function, which is undefined for negative values, the cube root function is defined for all real numbers. Its domain and range are all real numbers.
The turning point of a cube-root function is the origin. Here, that has been translated down 1 unit, so it is (0, -1). That is also the y-intercept.
The x-intercept is the value of x where g(x)=0:
0 = 3∛x -1
1 = 3∛x
1/3 = ∛x
(1/3)³ = x = 1/27
The x-intercept is (1/27, 0).
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<u>Transformations</u>
As we discussed above, the addition of -1 to the parent function causes it to be translated down 1 unit.
The multiplication of the parent function by 3 causes it to be vertically expanded by a factor of 3.
