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2 years ago

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Kacie swam for 12 hours this week at YMCA pool. 25% of her pool time was spent on tree swim. The rest was in swimming classes. H

ow many hours did Kacie spend in swimming classes?

1 answer:

bezimeni [28]2 years ago

8 0

Answer:

9 hours

Step-by-step explanation:

25% of 12 is 1/4 of 12.

12/4 is 3.

25% of 12 is 3.

12-3=9

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Step-by-step explanation:

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2 years ago

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You synthetic division to find P(3) for p(x)=x^4-6x^3-4x^2-6x-2

klio [65]

By the polynomial remainder theorem, the remainder upon dividing $p(x)$ by $x-3$ will be the value of $p(3)$ .

... | 1 ... -6 ... -4 ... -6 .... -2
3. | .. ... 3 ... -9 ... -39 .. -135
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... | 1 ... -3 ... -13 . -45 .. -137

So you have

$\dfrac{x^4-6x^3-4x^2-6x-2}{x-3}=x^3-3x^2-13x-45-\dfrac{137}{x-3}$

which means $p(3)=-137$ .

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3 years ago

A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using substitution.

bixtya [17]

Answer:

option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Given : A math class is having a discussion on how to determine if the expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.

We have to choose the correct method from the given options that the class has suggested.

Since we have to show the given expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.

We will choose a single value of x and then evaluate both the given expression at that single value and if the output of both expression comes out to be same then the two expressions must be equivalent.

For example lets take x = 2,

Then expression 4x - x + 5 becomes 4(2) - 2 +5 = 8 - 2 + 5 = 6 + 5 = 11

also, expression 8 - 3x - 3 becomes 8 - 3(2) - 3 = 8- 6 - 3 = 8 - 9 = -1

thus, the value is not equal hence, the two expression are not equivalent.

Thus, option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

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3 years ago

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antiseptic1488 [7]

The question is asking what will we get if we add 1+1.

Let us use an example to understand this.

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Suppose Amy has 1 ice cream and her brother Ruth has also got one ice cream.

Now if they both finished their ice creams, how many total ice creams were finished.

So we see that 1 and 1 add up to give two ice creams and so two ice creams are finished by them both.

Applying this to our question adding 1 and 1 gives us 2.

Answer : 1+1 =2

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3 years ago

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Step-by-step explanation:

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