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2 years ago

Please solve this system of equations using the Substitution Method: y= 2x + 10 and 2x+y= -6

Mathematics

1 answer:

Nostrana [21]2 years ago

7 0

The answer is y=2 x=-4

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I need help with this math problem!

kherson [118]

Answer: (50, 70)

The answer is (50, 70).

Step-by-step explanation:

Hope this helps =)

4 0

1 year ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

2 years ago

In a survey of students about favorite sports the results include 33 who like football, 13 who like tennis and football, 24 who

goblinko [34]

Answer:

How many students like only tennis and football?

13 who like tennis and football

How many students like only baseball and football?

26 who like baseball and football

7 0

2 years ago

Which quadrant is (8, -1) in?

lisabon 2012 [21]

It’s in the 4th quadrant because the x value is 8 (positive ) so its on the right but the y value is -1 (negative) so it’s below the x-axis

3 0

2 years ago

Read 2 more answers

A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.

EleoNora [17]

Answer:

927 cubic inches

Step-by-step explanation:

The area of the octagonal base is ...

A = (1/2)Pa

where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...

A = (1/2)(8·4)(4.83) = 77.28 . . . square inches

The volume of the prism is given by ...

V = Bh

where B represents the area of the base, and h is the height.

V = (77.28 in^2)(12 in) = 927.36 in^3

The volume of the prism is about 927 cubic inches.

4 0

2 years ago