Answer:
yes
Step-by-step explanation:
You can always separate an equation into two parts and see where those graphs intersect.
Joel's method works well.
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<em>Additional comments</em>
Preston should know that the invention of logarithms makes it easy to solve equations like this. x = log₂(14) = log(14)/log(2) ≈ 3.8073549.
As for Joel's method, I prefer to subtract the right side to get the equation ...
2^x -14 = 0
Then graphing y = 2^x -14, I look for the x-intercept. Most graphing calculators make it easy to find x- and y-intercepts. Not all make it easy to find points of intersection between different curves.
If f= {(2, 3), (5,7), (3, 3), (5, 4), (9, 1)), what is the range?
Scilla [17]
<h3>
Answer: {1,3,4,7} which is choice D</h3>
To list out the range, you list the y coordinate values of each point of the function. Each point is of the form (x,y). Any duplicate values are tossed out when we talk about a set. All we care about are the unique values. It's common practice to sort the values of the set from smallest to largest.
Side note: Choice A is listing the x values of each point, which is the domain.
Answer:
(-2, -2)
Step-by-step explanation:
Compare the two functions ...
f(x) = -|x +2| -2
f(x) = a·g(x -h) +k
where f(x) is a translation and scaling of function g(x). Here, you have ...
g(x) = |x|
The scale factor is a = -1.
The horizontal shift is h = -2.
The vertical shift is k = -2.
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The original vertex at (0, 0) has been shifted by (h, k) to ...
(0, 0) + (h, k) = (0, 0) + (-2, -2) = (-2, -2).
Answer: the ratio is 6:4
Step-by-step explanation:
the amount of large bones is 4 so:4 and the number of small bones is 6 so 6:
so the answer is 6:4
