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Doss [256]
3 years ago
10

The function f(x) is shown below

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer: 2

Step-by-step explanation:

A function composed with its inverse outputs the original input.

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What is the completely factored form of x3 – 64x?
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The answer is x(x-8)(x+8)
Here is the process;
x^3-64x
x(x^2-64)
You know that it will be a x- and a x+ becuase there is no middle x value
x(x-)(x+)
x(x-8)(x+8)
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Ted won 121 lollipops playing basketball
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He has 30 students in his class
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You find a deck of cards and know that the deck has too many clubs and spades in it. The deck has 59 cards.
Harrizon [31]
(13/59)(c/58)=117/1711

13c/3422=117/1711

13c=234

c=18

So there are 18 clubs instead of 13 meaning that there is an extra 5 clubs in the deck.

Since there were 59 cards, there was 7 extra cards in all.  The 7 extra minus the 5 extra clubs leaves 2 extra spaces.

So there were two extra spades in the deck.
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4 years ago
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A survey showed that 9 every 25 students like dogs while 13th of every 20 students like cats. How many more of the students like
lilavasa [31]

Answer:

29/100 (Every 100 students, 29 more students like cats than dogs)

Step-by-step explanation:

First we need to put these numbers in fractions

The fraction that represents students that like dogs is 9/25

The fraction that represents students that like cats is 13/20

Now, we just need to subtract the fraction of cats by the fraction of dogs:

13/20 - 9/25

To do that, we need to make the denominators equal. We do that making multiplying the first fraction by 5 and the second by 4, so we have:

13/20 = 65/100

9/25 = 36/100

Then, subtracting then, we have:

65/100 - 36/100 = 29/100

So every 100 students, 29 more students like cats than dogs.

6 0
3 years ago
You need to buy a car to help you get to school and work. You take out a $8,000 loan with a 9.25% annual simple interest rate to
vovikov84 [41]

Answer:

A) Interest that will be charged  = $4070

B) The total amount to be paid   = $12070

Step-by-step explanation:

Given:

Initial amount paid  = $8,000

Rate of the interest = 9.25%

Time period = 66 months

<u>A) AMOUNT OF INTEREST CHARGED</u>

<u>Let the interest charge be x</u>

\text{Simple interest,  x} =\frac{\text { principal amount } \times \text {rate of interest } \times \text { number of years }}{100}

here we are given with number of months i.e., 66 months

converting 66 months into years

=>\frac{66}{12}

=>5.5

so 66 months = 5.5 years

Now substituting the vales in the formula we get,

simple interest, x =\frac { 8000\times 9.25 \times5.5}{100}

simple interest, x =\frac {74000 \times5.5}{100}

simple interest, x =\frac {407000}{100}

simple interest, x = 4070

<u>B) TOTAL AMOUNT TO BE PAID:</u>

Let the total amount paid after 66 months be Y

Then ,

Y = Principal amount + interest for 66 months

Y = 8000+ 4070

Y =12070

8 0
4 years ago
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