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nlexa [21]
3 years ago
15

Which represents a function? A 2-column table with 5 rows. The first column is labeled x with entries negative 10, negative 5, 0

, 5, 10. The second column is labeled y with entries 84, 31.5, 4, 1.5, 24. A mapping diagram shows a relation, using arrows between domain and range for the following ordered pairs: (8, negative 4), (negative 2, 10), (negative 2, negative 7). In the domain, the number 3 does not have a relation to a number in the range. A series of ordered pairs: (4, 5), (6, negative 2), (negative 5, 0), (6, 1)
Mathematics
1 answer:
Ratling [72]3 years ago
7 0

Answer:

The 1st table represents a function

Step-by-step explanation:

Just trust me on this I took the quiz on edge 202 and got it right

the graph is

x     |     Y

--------------

-5   |  -22

--------------

0    |  -2

------------

3    |  10

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Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x > 0. Enter as
beks73 [17]

I bet the ODE is supposed to read

x^2y''-14xy'+56y=0

Then if y=x^r, we have y'=rx^{r-1} and y''=r(r-1)x^{r-2}, and substituting these into the ODE gives

r(r-1)x^r-14rx^r+56x^r=0\implies r(r-1)-14r+56=r^2-15r+56=0

Solving for <em>r</em>, we find

r^2-15r+56=(r-8)(r-7)=0\implies \boxed{r=8\text{ or }r=7}

so that y_1=x^8 and y_2=x^7 are two fundamental solutions to the ODE. Thus the general solution is

\boxed{y(x)=C_1x^8+C_2x^7}

Given that y(1)=4 and y'(1)=3, we get

\begin{cases}4=C_1+C_2\\3=8C_1+7C_2\end{cases}\implies C_1=-25\text{ and }C_2=29

So the particular solution is

\boxed{y(x)=29x^7-25x^8}

4 0
4 years ago
Helppppppppppppppppppppppppppppp what is 8/0
ad-work [718]

Answer:

8/10 is .8

Step-by-step explanation:

You divide 8 by 10.


4 0
4 years ago
Read 2 more answers
Can someone help me please? <br> I’ll give you brainliest ^^
Advocard [28]

The sample space that represents all possible buses and boats combinations is given by:

{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.

<h3>What is the sample space of an experiment?</h3>

The sample space is the <u>set that contains all possible outcomes for an experiment</u>.

In this problem, for each the bus and the boat, there are 3 outcomes, hence the cardinality of the sample space is given by:

3 x 3 = 9.

Considering that one letter from D, E and F, and one number for 1, 2 and 3 are chosen, the sample space is given by:

{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.

More can be learned about sample spaces at brainly.com/question/25861936

#SPJ1

6 0
2 years ago
Determine the slope of the line containing the points (-5,4) and (0,7).
bekas [8.4K]
Slope (m) = y2-y1 / x2-x1
m = 7 - 4 / 0 + 5
m = 3 / 5

In short, Your Answer would be 3/5

Hope this helps!
8 0
3 years ago
Write the sentence as a conditional statement 5x+2=12 means that 5x=10
Cerrena [4.2K]

Answer: Here the required conditional statement would be "If we subtract 2 from the both sides of 5x+2=12 then we get 5x=10".

Step-by-step explanation:

A conditional statement represented by m n , is an if-then statement in which m is a hypothesis followed by conclusion n.

A conditional statement helps to find the answer by the use of a set conditions on it.

In the given question "if we subtract 2 from the both sides of 5x+2=12" is our hypothesis,whereas "then we get 5x=10 is our conclusion."


4 0
4 years ago
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