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aivan3 [116]
3 years ago
5

What is the slope of the line passing through the points ( −3 , 4 ) and ( 4, −1 )?

Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0
Slope = (y2 - y1)/(x2 - x1) = (-1 - 4)/(4 - (-3)) = -5/(4 + 3) = -5/7
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Use technology to determine an appropriate model of the data. (-1,0), (1,-4), (2,-3), (4,5), (5,12)
Vinil7 [7]
By graphing the points, The best mode of the data will be the quadratic function

There is 5 steps to find the quadratic function that models the data.

First step           ⇒ Plot the data pairs (x, y) in a coordinate plane.
                              which are the blue circles in the attached figure

Second step     ⇒ Draw the parabola you think best fits the data.
                             Which is the red function in the attached figure.

Third step         ⇒ Estimate the coordinates of three points on the
                             parabola, which are (-1, 0), (2, -3), and (5, 12).

Fourth step       ⇒ Substitute the coordinates of the points into the model
                            y = ax² + bx + c
                            to obtain a system of three linear equations.

                            a - b + c = 0           ---------(1)
                            4a + 2 b + c = -3    ---------(2)
                            25a + 5 b + c = 12 ---------(3)   

Fifth step   ⇒ Solve the linear system.
                      By using the calculator
                      a = 1 , b = -2 , c = -3

So, the quadratic model for the data is ⇒ y = x² - 2x - 3


7 0
3 years ago
Whats the sum of 2x and 3
rjkz [21]

Answer:

5x maybe dont take my word

5 0
3 years ago
a group of 50 people were asked their gender and if they liked cats. the data from the survey are shown in the ben diagram. dete
sasho [114]

Answer:

A=13, b= 28, c= 6 d=22 e=31

Step-by-step explanation:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

6 0
3 years ago
X^5=16<br> what does x equal?
Alex777 [14]

it could be 5 root 16? im not sure

7 0
3 years ago
Read 2 more answers
Solve for n. 2n +2 &gt; 16<br> A)n=7<br> B)n&lt;7<br> C)n&gt;7<br> D)n&lt;-7
Alex

Inequality : 2n + 2 > 16

2n > 16 - 2
2n > 14
n > 14/2
n > 7

-> Answer C

6 0
2 years ago
Read 2 more answers
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