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3 years ago

PLS HELLPP AHJSJBAJEWVJ :(

Mathematics

2 answers:

aksik [14]3 years ago

3 0

Answer:

I don't see the picture

Step-by-step explanation:

kkurt [141]3 years ago

3 0

The answer is uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh A

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Evaluate the function f(x) = x2 +1 for f(2). 1 5 7

zaharov [31]

Answer:

b) 5

Step-by-step explanation:

f(x) = x² + 1

f(2) = (2)² + 1

= 4 + 1

= 5

8 0

2 years ago

Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator

SpyIntel [72]

$\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}$
$\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)$

When $x=3$ , you're left with

$147=49a_1\implies a_1=\dfrac{147}{49}=3$

When $x=\sqrt2$ or $x=-\sqrt2$ , you're left with

$\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}$

Adding the two equations together gives $-10=2a_5$ , or $a_5=-5$ . Subtracting them gives $2\sqrt2=2\sqrt2a_4$ , $a_4=1$ .

Now, you have

$5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)$
$5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)$
$2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)$

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that $a_2x^4=2x^4$ and $a_3(-3)(-2)=6a_3=-6$ . These alone tell you that you must have $a_2=2$ and $a_3=-1$ .

So the partial fraction decomposition is

$\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}$

7 0

3 years ago

the distance from the earth to the Sun is approximately 9.3×10^7 miles. if light travels 1.2×10^7 miles in 1 minute, how many mi

Verizon [17]

t takes 5 1/3 minutes for light from the sun to reach earth. The Moon is closer to earth, so it,s light reaches earth faster about 5 19/60 minutes faster than from the sun. How long does light from the moon take to reach earth.

6 0

3 years ago

Tammy has 4 times as many books as Willy . Willy has 180 fewer books than Tammy . How many books does Willy have ?

enyata [817]

Answer:

60 books

Step-by-step explanation:

let the number of books Willy has be x , then

Tammy has 4x books

Willy has 180 fewer books , that is Tammy has 180 more than Willy , so

4x = x + 180 ( subtract x from both sides )

3x = 180 ( divide both sides by 3 )

x = 60

Thus

Willy has 60 books andTammy has 4 × 60 = 240 books

which is 180 more than Willy

7 0

1 year ago

What is the domain of the function y = StartRoot x EndRoot?

andriy [413]

Answer:

Step-by-step explanation:

5 0

3 years ago