Answer: D
Step-by-step explanation:
Answer:
71 31/72 in
Step-by-step explanation:
multiply the length and width for the formula. :)
<h3>Answers:</h3>
- (a) It is <u>never</u> one-to-one
- (b) It is <u>never</u> onto
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Explanation:
The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.
Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.
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The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.
With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.
–(x^2–2x+12) would become –x^2+2x–12.
3x^2+9x+13 – x^2+2x–12
= 2x^2 + 11x – 1
Answer:
157
Step-by-step explanation:
We can already tell that these two figures are congruent due to the angles (if you remember, the "top" and "bottom" angles of trapezoids form 180 degrees). Since we know that these are congruent, we know that GH = BC, and so on. We can then plug in the missing sides by looking at the figure that has the sides. Thus, giving us 157. Hope this wasn't too complicated!
