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FrozenT [24]
3 years ago
5

Simplify the following rational expression.

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Step-by-step explanation:

\frac{6 {x}^{3} }{15 {x}^{4} - 60x ^{3}  }  \\  \\  =  \frac{6 {x}^{3} }{3 {x}^{3} (5 {x}- 20 )} \\  \\ =  \frac{2 }{5 ({x}- 4 )}, \:  \: x \neq \: 4\\  \\

x = 4 makes the expression undefined.

Because at x = 4 denominator becomes zero, which makes the expression undefined.

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Ian often buys in large quantities. A few months ago he bought several cans of frozen orange juice for $24. The next time Ian pu
ANEK [815]
For the answer to the question above asking, w<span>hat was the price per can and the numbers of cans purchased each time?
let x be the number of cans he bought
the let us go to the 2nd statement which is t</span><span>he next time Ian purchased frozen orange juice, the price had increased by $0.10 per can and he bought 1 less can for the same total price.
The equation for this is .10(x-1) = 24
So now let's solve, 
</span> .10(x-1) = 24
.10x - .10 = 24
.10x = 24+ .10
.10x = 24.10
Then divide both sides by .10
So the answer for this question is 
241 cans of juice


4 0
4 years ago
Chad took a total of 54 quizzes over the course of 6 weeks. After attending 7 weeks of school this quarter, how many quizzes wil
Andru [333]
54 divided by 6 would be 9 meaning he takes 9 quizzes a week. If directly proportional by the end of 7 weeks he would have taken 63 quizzes
7 0
3 years ago
Read 2 more answers
What is the value of 100?
Nesterboy [21]

Answer:

10

Step-by-step explanation:

Means back the numbers into multiples of several small numbers

Like:; 1. We take LCM of 40

Just break into multiples of small number

40= 2×2×2×5

2. We take LCM of 50

50= 5×5×2

So LCM for 100 is 2×2×5×5

after that see the pairs in the LCM like 2×2 or 3×3 or 4×4(same numbers)

Then write the the single number in place of two multipled numbers

Like:; 2×2 is written as 2 // 3×3 is written as 3

So we can write 100 into 2×2×5×5 and then after selecting pairs (2×2)×(5×5)

write pairs in single number 2×5

And so we get 2×5=10

So we find root of 100 that is 10

8 0
3 years ago
Read 2 more answers
Add and simplify 1/8 5/8
skelet666 [1.2K]
1+5=6 so 6/8 

Simplifying 6/8 is 3/4
8 0
4 years ago
Read 2 more answers
Determine the y-intercept of the line that passes through (-5,-12) and has a slope of -5
brilliants [131]

Answer:

-37

Step-by-step explanation:

Not sure what the method is called, but you do this.

substitute the slope into slope formula

y= -5x+b

substitute the points you have for x and y

-12= -5(-5)+b

solve

-12= 25+b

-37= b

6 0
3 years ago
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