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Svetlanka [38]
3 years ago
13

Complete the equation of the line through (-1, 6) and (7, -2). Use exact numbers.

Mathematics
1 answer:
lozanna [386]3 years ago
8 0
Y=-1x+5
First find the slope with the points. (b2-b1)/(a2-a1) (-2-6)/(7-(-1)) which equals -8/8
Then find the solve for b
-2=-1(7)+b
-2=-7+b
5=b
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-6x + 1 > -23 which value of x is in the solution set of the inequality
Gennadij [26K]
-6x + 1 > -23 <=>

-6x > -24 <=>

x < 4
5 0
3 years ago
You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side
mrs_skeptik [129]

Answer:

You could use a measurement of 4 centimeters.

The valid range is  2  < x < 8  cms.

Step-by-step explanation:

The third side must either be less than 3+5, that is less than 8 cms and  it must be greater than (5-3) = 2 cms. If it is any other length we could not construct a triangle.

8 0
3 years ago
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that
Helga [31]

Answer:

\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n

Step-by-step explanation:

Rn(x) →0

f(x) = 10/x

a = -2

Taylor series for the function <em>f </em>at the number a is:

f(x) =  \sum^\infty_{n=0} \frac{f^{(n)}(a)}{n!} (x - a)^n

f(x) = f(a) + \frac{f'(a)}{1!}(x-a)+\frac{f"(a)}{2!} (x-a)^2 + ... ............ equation (1)

Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2

f(x) = 10/x            f(-2) = 10/-2

f'(x) = -10/x²         f'(-2) = -10/(-2)²

f"(x) = -10.2/x³      f"(-2) = -10.2/(-2)³

f"'(x) = -10.2.3/x⁴     f'"(-2) = -10.2.3/(-2)⁴

f""(x) = -10.2.3.4/x⁵    f""(-2) = -10.2.3.4/(-2)⁵

∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)

So, we get \sum^\infty_{n=0} - \frac{10(x+2)^n}{2^{n+1}} Or \sum^\infty_{n=0} -5 (\frac{x+2}{2})^n

4 0
3 years ago
How do you find how many times larger
masya89 [10]

Answer

whats the problem.

Step-by-step explanation:

 

4 0
3 years ago
A shoe store is selling 3 pairs of shoes for $26.25 . If a mother is buying 4 pairs of shoes for her children for school, how mu
elena-s [515]

Answer: $35

Step-by-step explanation: If three pairs of shoes cost 26.25 you need to divide that by 3 to get the individual price of each pair of shoes, then add the price of the shoe individually to 26.25 and you will get your answer.

7 0
3 years ago
Read 2 more answers
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