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Greeley [361]
3 years ago
15

In the data set below, what is the mean absolute deviation?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0
The mad is 9
the mean is 4.5
then calculate all differences and you get 9
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Find the domain and range of the function f(x) = 3x^2 - 5.Also find f(-3) and the numbers which are associated with the number 4
Delicious77 [7]

Domain:


This function is a polynomial, i.e. a sum of powers of a variables, each with its coefficient. Polynomials are defined for every possible value of the variable, so the domain is the whole real number set: D = \mathbb{R}


Range:


A polynomial of degree 2 represents a parabola. Since the leading coefficients, i.e. the coefficient of the term with highest degree, is positive (in this case, it's 3), the parabola is concave up. It means that it has a minimum, and it's unbounded from above. So, the range is something like [a,\infty). To find the minimum, let's start with the "standard" parabola y=x^2, and transform it to the one of this exercise. y=x^2 has minimum 0, and thus its range is [0,\infty). When you multiply it times three, its shape narrows, but the range wont change: [0,\infty) \to [3\cdot 0,3\cdot \infty) = [0,\infty). Finally, when you subtract 5, you shift everythin down 5 units. This transformation affects the range, since you have [0,\infty) \to [0-5,\infty-5) = [-5,\infty)


Image of -3:


To compute f(-3), simply plug x=-3 in the formula:


f(-3) = 3(-3)^2-5 = 3\cdot 9 - 5 = 27-5 = 22


Numbers associated with 43:


We want to see which x value we must choose to get a y value of 43. So, the equation is


y = 3x^2-5 \to 43 = 3x^2-5 \iff 48 = 3x^2 \iff 16 = x^2 \iff x = \pm\sqrt{16} = \pm4

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3 years ago
Find the area, in square inches, of the following composite figure.
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I think the answer it’s 15 in not 100% sure tho
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If triangle ABC is congruent to triangle DEF, which statement is not true?
Blizzard [7]
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3 years ago
Mackenzie ran the Olympic marathon of 26 1/5 miles in a time of 5 4/5 hours. How far did she run in 1 hour?
OleMash [197]
If you would like to know how far did Mackenzie run in one hour, you can calculate this using the following steps:
26 1/5 = 131/5 miles ... 5 4/5 = 29/5 hoursx miles = ? ... 1 hour
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The correct result would be 4 15/29 miles.

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3 years ago
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