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Law Incorporation [45]

3 years ago

5

Write an equation for each sentence. State whether the equation is true, false, or an on open sentence. 11. Twenty five equals a

number v plus fifteen

1 answer:

lapo4ka [179]3 years ago

5 0

V+15=25. ... The equation is ALMOST always false. It's true only when V=10.

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Witch multiples of 24 are not factors of 24

Nataly [62]

Answer:

A factor of 24 is a number that can be multilied by another number (normally whole (not fraction or decimal) numbers) so a factor must be less than the number any multiple of 2 greater than 24 will work so just any even number greater than 24 exg 26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60, and so on.

Step-by-step explanation:

8 0

4 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

What’s the answer to this

lilavasa [31]

Answer:

Step-by-step explanation:

B because did the same exact test

6 0

2 years ago

Please help its due in tommorow btw You get brainliest

BlackZzzverrR [31]

So if the total is $8.75, and 1 torch costs $7.66, and you bought 1 torch and two batteries, you would have to subtract 8.75 - 7.66 which is 1.09, and then divide that in half to get the price per battery.
Final answer = 1 Battery = $0.54

5 0

3 years ago

You are out with friends. Half of you want to go bowling and the other half want to go to a movie. How will you make a fair deci

lyudmila [28]

Answer: The answer is option B.

Step-by-step explanation:

6 0

3 years ago