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FinnZ [79.3K]
3 years ago
12

The cost of tuition is a very important topic. The Alligator surveyed 500 randomly selected students and asked them if they supp

orted a 5% tuition increase. What kind of study is this?
Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

Survey

Step-by-step explanation: A survey is a research method of collecting data from a particular target group through questions aimed at extracting specific information from them

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Two exponential functions are shown in the table.
sammy [17]

Based on the table, a conclusion which can be drawn about f(x) and g(x) is that: B. the functions f(x) and g(x) are reflections over the y-axis.

<h3>How to compare the functions f(x) and g(x)?</h3>

In Mathematics, two functions are considered to be reflections over the y-axis under the following condition:

If, f(-x) = g(x).

Evaluating the given functions, we have:

f(x) = 2ˣ

f(-x) = 2⁻ˣ = ½ˣ = g(x).

Similarly, two functions are considered to be reflections over the x-axis under the following condition:

If, -f(x) = g(x).

Evaluating the given functions, we have:

f(x) = 2ˣ

-f(x) = -2ˣ ≠ g(x).

Therefore, we can logically conclude that the two functions f(x) and g(x) are considered to be reflections over the y-axis but not the x-axis.

Read more on reflections here: brainly.com/question/2702511

#SPJ1

5 0
2 years ago
Solve the system:
miv72 [106K]

Answer:

B) (0, 0)

Step-by-step explanation:

It is where the two figures intersect on the graph!

<u><em>Hope this Helps!! :))</em></u>

8 0
3 years ago
Please help with these 2 questions. Thank you!!!!
qwelly [4]
It's the third graph, the one where the absolute function is opening downwards
6 0
3 years ago
Read 2 more answers
I need help to solve please
antiseptic1488 [7]

Answer:

<h2><em><u>x = 52</u></em></h2>

Step-by-step explanation:

<em><u>Known:</u></em>

What to find = x

Exterior angle = 142

Right angle = 90

<em><u>Unknown:</u></em>

what unknown value is = ?

Interior angle = ?

<em><u>1. Find the angle of the interior angles.</u></em>

180 - 142 = 38

<em><u>2. Add the two known angles</u></em>

38 + 90 = 128

<em><u>3. Subtract from 180</u></em>

180 - 128 = 52

<h2><em><u>x = 52 is the answer.</u></em></h2>

Hope this helped,

Kavitha Banarjee

6 0
3 years ago
Find an n^th degree polynomial with real coefficients satisfying the given conditions. n = 3; -2 and 2 i are zeros; f(-1) = 15.
Ira Lisetskai [31]
So, n = 3, is a 3rd degree polynomial, roots are -2 and 2i

well 2i is a complex root, or imaginary, and complex root never come all by their lonesome, their sister is always with them, the conjugate, so if 0+2i is there, 0-2i is there too

so, the roots are -2, 2i, -2i

now... \bf \begin{cases}&#10;x=-2\implies x+2=0\implies &(x+2)=0\\&#10;x=2i\implies x-2i=0\implies &(x-2i)=0\\&#10;x=-2i\implies x+2i=0\implies &(x+2i)=0&#10;\end{cases}&#10;\\\\\\&#10;(x+2)\underline{(x-2i)(x+2i)}=0\\\\&#10;-----------------------------\\\\&#10;\textit{difference of squares}&#10;\\ \quad \\&#10;(a-b)(a+b) = a^2-b^2\qquad \qquad &#10;a^2-b^2 = (a-b)(a+b)\\\\&#10;-----------------------------\\\\&#10;(x+2)[x^2-(2i)^2]=0\implies (x+2)[x^2-(2^2i^2)]=0&#10;\\\\\\&#10;(x+2)[x^2-(4\cdot -1)]=0\implies (x+2)(x^2+4)=0&#10;\\\\\\&#10;x^3+2x^2+4x+8=0

now, if we check f(-1), we end up with 5, not 15
hmmm

so, how to turn our 5 to 15? well, 3*5, thus

\bf 3(x^3+2x^2+4x+8)=f(x)\implies 3(5)=f(-1)\implies 15=f(-1)

usually, when we get the roots, or zeros, if any common factor that is a constant is about, they get in a division with 0 and get tossed, and aren't part of the roots, thus, we can simply add one, in this case, the common factor of 3, to make the 5 turn to 15
6 0
3 years ago
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