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inna [77]
3 years ago
5

Write the equation of the line passing through the points (-1,2) and (3, 4)

Mathematics
2 answers:
kherson [118]3 years ago
5 0

Answer: y = 1/2x + 5/2

Step-by-step explanation:

Harlamova29_29 [7]3 years ago
3 0

Answer:

y=2/4x+5/2

Step-by-step explanation:

y=mx+b

2-4/-1-3

-2/-4

Slope =2/4

y=2/4x+b

2=2/4(-1)+b

b=5/2

y=2/4x+5/2

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Can you help me please
Ierofanga [76]

Answer:

The average rate of change is 3.5

6 0
3 years ago
SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).
Ann [662]

Answer:

Required series is:

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

Step-by-step explanation:

Given that

                           f'(x) = -\frac{1}{1 + x^{2}} ---(1)

We know that:

                  \frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}} ---(2)

Comparing (1) and (2)

                           f'(x)=-(tan^{-1}x) ---- (3)

Using power series expansion for tan^{-1}x

f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx

= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]

=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}

=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

as

                 tan^{-1}(0)=0 \implies C=0

Hence,

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

7 0
3 years ago
Write an inequality, in slope-intercept form, for the graph below. If necessary,
d1i1m1o1n [39]

Answer:not 100 % sure but I can write a slope intercept form equation, but not an inequality. I would need a picture of the graph to write an inequality.

First find slope: (y2 - y1)/(x2 - x1)   Slope is 3

Choose a point then use point slope form y - y1 = m(x - x1)      It is y - 1 = 3(x - 1)

Now simplify:

y - 1 = 3(x - 1)

y - 1 = 3x - 3

y = 3x - 2

y = 3x - 2

Step-by-step explanation:

8 0
3 years ago
Sole for |p+8| over 2 =5
Lubov Fominskaja [6]

Answer:

p =2                     p=-18

Step-by-step explanation:

|p+8|

-------------- = 5

2

Multiply each side by 2

|p+8|

-------------*2 = 5*2

2

|p+8|  =10

There is a positive and a negative solution

p+8=10         p+8=-10

Subtract 8 from each side

p+8-8=10-8         p+8-8=-10-8

p =2                     p=-18



7 0
3 years ago
Ava buys a book for 8.58. She pays with a $10 bill. How much charge will she get
navik [9.2K]
1.42 because you subtract 10 from the price
8 0
3 years ago
Read 2 more answers
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