4 years ago

I've got two of these kinds of problems and no clue how to do them, help please!

Mathematics

2 answers:

xenn [34]4 years ago

7 0

Doesn't X equal 0 because anything times 0 equals 0

Bogdan [553]4 years ago

4 0

Hello,

$3x^3+2x^2-3x-2=0\\

3x^3-3x+2x^2-2=0\\


3x(x^2-1)+2(x^2-1)=0\\

(x^2-1)(3x+2)=0\\

(x-1)(x+1)(3x+2)=0\\

Sol=\{- \dfrac{2}{3}, -1,1 \}
$

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The pupils of a school came to school by bus by bicycle and on foot . 48% of the pupils came to school by bus and 24% came by bi

yKpoI14uk [10]

Answer:

28%

Step-by-step explanation:

total percent is 100%

we could rewrite the equation as:

48% + 24% + f = 100%

72% + f = 100%(subtract 72 on both side)

f = 28%

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3 years ago

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dsp73

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3 years ago

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance t

Roman55 [17]

When the ball is first dropped, it falls $h$ feet. On the first bounce, it rebounds $0.81h$ feet, which means on the second "drop" it must travel $0.81h$ feet again. On the second bounce, the ball rebounds $0.81(0.81h)=0.81^2h$ feet, and on the third drop falls the same distance. And so on.

So there are two directions to track:

$\text{downward: }\displaystyle h+0.81h+0.81^2h+\cdots=\sum_{n=0}^\infty 0.81^nh$
$\text{upward: }\displaystyle 0.81h+0.81^2h+\cdots=\sum_{n=1}^\infty 0.81^nh$

The total distance is the sum of these two:

$\displaystyle\sum_{n=0}^\infty 0.81^nh+\sum_{n=1}^\infty 0.81^nh=h+2h\sum_{n=1}^\infty 0.81^n$

Recall that for an infinite geometric sum, you have

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

provided that $|r|$ . So the total distance traveled by the ball is

$h+2h\left(\dfrac1{1-0.81}-1\right)\approx9.53h$

Starting with a height of $h=16$ means the total distance is about 152.42 ft.