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3 years ago

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One worker can finish a job in 9 hours, and another for 6 hours. The first worker started working at 7 am and the 2nd worker sta

rted one hour later. Find after how many hours the work will be finished if both workers did an equal amount of work.

1 answer:

noname [10]3 years ago

3 0

Answer:

NANI!?!?

Step-by-step explanation:2

POOOOOOOOOOOOOO

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If the parent function f(x) = (2x − 3)3 is transformed to g(x) = (-2x + 3)3, which type of transformation occurs? A. vertical sh

exis [7]

Answer:

The answer is C

Step-by-step explanation:

We have f(x) function as below:

$f(x)=(2x-3)^3$

and the converted function g(x) is as mentioned below:

$g(x)=(-2x+3)^3$

We can observe that:

f(x)=-g(x)

Therefore it can be said that this function reflected horizontally.

Note: please check the plot attached.

4 0

3 years ago

Read 2 more answers

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

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

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3 years ago

the sum of two numbers is 158.if we add 25 to each one of them,then the first becomes the triple of the other.what are these num

IRISSAK [1]

Answer:

Step-by-step explanation:

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3 years ago

Why does dividing 5 by a decimal less than 1 give a quotient greater than 5

andrew-mc [135]

If you divide by a decimal, you are breaking apart 1 into multiple pieces and so you are trying to find how many of that size piece will fit into 5. For example if you divide by .5 (point five), there are 2 point fives in 1 so there are 10 point fives in 5. The quotient is larger.

I hope you got that...

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3 years ago

Buffalo Bill's Tacos charges $5.60 for sides and a drink, and then $0.40 per taco. The Crispy Taco charges $10 for sides and a d

vovangra [49]

Answer:

$5

Step-by-step explanation:

subtract

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3 years ago