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earnstyle [38]
2 years ago
8

{(-5,9),(2, 31), (9, 143), (11, 151),(0, 42),(5, 97)}

Mathematics
1 answer:
wlad13 [49]2 years ago
8 0

The number 7 is the best prediction of the output when the input is 13.

<h3>What is the equation of a line passing through two given points in 2 dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)

The equation of the line is found as;

\rm y-y_1=  \frac{y_2-y_1}{x_2-x_1}      \\\\ \rm y-9=                                         \frac{31-9}{2+5} (x+5)\\\\ 7y-63 = \frac{31-9}{2+5} (c+5)\\\\ 7y-63=22x+110\\\\ 7y= 22x+173 \\\\ but ,x=13\\\\ 7y=22 \times 13 +173\\\\ y= \frac{1259}{7} \\\\ y= 179

Learn more about straight line equation here:

brainly.com/question/380976

#SPJ1

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16. Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
Soloha48 [4]

Answer:

Step-by-step explanation:

The way to do this (I think) is to figure out the probability of not getting said king on either throw.

First Throw: P(no King Hearts) = 51/52

Second Throw: P(no King Hearts) = 50/51

Total probability = 51/52*50/51 = 50/52

Therefore the probability of getting it right is

P(KH) = 1 - 50/52 = 2/52 = 1/26

I have a feeling that this is not correct. If you get a different answer  that looks reasonable, take it.

7 0
3 years ago
In the equation x^2-6x+c=0, find the values of c that will give two imaginary solutions.
ki77a [65]
First one

when doing the quadratic equation, we come across something called the determinant

\sqrt{b^2-4ac}

when this is positive, we have 2 real roots
when this is 0, we have 1 real root
whenthis is negative, we have 2 imaginary rots
we want 2imaginary roots so
\sqrt{b^2-4ac}<0
we have
1x^2-6x+c=0
a=1
b=-6
c=c
\sqrt{(-6)^2-4(1)(c)}<0
\sqrt{36-4c}<0
square root both sies
36-4c<0
add 4c both sides
36<4c
divide both sides by 4
9<c
c>9

D is the answer (not b or c)


remember
√-1=i
a²-b²=(a-b)(a+b)

we want to do
x^2-(-9)
now we have to take the sqrt of -9
√-9=(√-1)(√9)=(i)(3)=3i

(x)^3-(3i)^2
(x-3i)(x+3i)
B is answer
6 0
3 years ago
What is the solution of the equation?<br>-5=q+2​
jeyben [28]

Step-by-step explanation:

-5=q+2

-5+2=q

q= -3

hope it helps.

3 0
3 years ago
Read 2 more answers
Given y varies directly as x, use the given x-value and y-value to find an equation that relates x and y. x = 24 and y = 360 A)
Papessa [141]

Answer:

A

Step-by-step explanation:

given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition x = 24 and y = 360

k = \frac{y}{x} = \frac{360}{24} = 15

Hence y = 15x is the equation → A


3 0
4 years ago
The sides of a triangle are in the extended ratio 2 colon 6 colon 7. If the perimeter of the triangle is 45 inches, then what is
allsm [11]
Ratio : 2:6:7....for a total of 15. This means that one side is 2/15 of the total perimeter, one side is 6/15 of the total perimeter and one side is 7/15 of the total perimeter.

and if the total perimeter is 45 inches...
2/15 * 45 = 90/15 = 6 inches
6/15 * 45 = 270/15 = 18 inches
7/15 * 45 = 315/15 = 21 inches

and the shortest side is gonna be 6 inches <==
6 0
4 years ago
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