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rodikova [14]
3 years ago
6

Factor the following quadratic function f(x)=X^2-25

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
8 0

Answer: (x+5)(x-5)

Step-by-step explanation:

f(x)=X²-25 = (x+5)(x-5)

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Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t
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To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is \dfrac14\cdot\dfrac14=\dfrac1{16}.
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3 years ago
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Find the percent of change from 18 to 12.
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Answer:

18 is the old value and 12 is the new value. In this case we have a negative change (decrease) of -33.33333333 percent because the new value is smaller than the old value.

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3 years ago
2y= -3x+2 find three points
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y=-3x+2/2

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if x=0,y=1

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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
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Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

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The scores of individual students on the american college testing (act) program composite college entrance examination have a no
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The sampling distribution standard deviation is the population standard deviation divided by the root of the sample size.

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