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amid [387]
3 years ago
11

Let f(x) = 3x3 − 7x2 − 9x + 21 and g(x) = 3x − 7. Find f of x over g of x.

Mathematics
2 answers:
Ronch [10]3 years ago
8 0

Answer:

x^2-3

Step-by-step explanation:

look at the picture

Lerok [7]3 years ago
8 0

For this case we have the following functions:

f (x) = 3x ^ 3-7x ^ 2-9x + 21\\g (x) = 3x-7

We must find the value of the following expression:

\frac {f (x)} {g (x)}

So:

\frac {f (x)} {g (x)} = \frac {3x ^ 3-7x ^ 2-9x + 21} {3x-7}

Looking at the attached image we have to:

\frac {f (x)} {g (x)} = x ^ 2-3

Answer:

Option D

See attached image

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How many times does 56 go into 432
larisa [96]
7.714, if you divide 432 by 56, you get 7.714
7 0
3 years ago
Write a system of linear equations that has the ordered pair as its solution (3,5)
ololo11 [35]
An easy way to do this is by using the simplest equations you can:

x + y and x - y

(3, 5) is (x, y). all you have to do is plug those into your equations and get a result, so:

x + y = 8
(because 3 + 5 = 8)
x - y = -2
(because 3 - 5 = -2)

and those can serve as your system of equations. 

you can check it by solving by substitution:
x - y = -2
x + y = 8

solve one of the equations for a single variable:
x = y - 2

plug it into the second equation:
(y - 2) + y = 8
y - 2 + y = 8
2y - 2 = 8
2y = 10
y = 5

then plug that result back into the equation:
x + y = 8
x + 5 = 8
x = 3
8 0
3 years ago
What value of B makes the expression, x^2 + bx + 64 a perfect square trinomial?
Kitty [74]
B = 16
x^2 + 16x + 64 can be factored down to (x + 8)^2. 
7 0
3 years ago
Do these Functions change curvature? Y intercept?<br>1-f(x)+k<br>2-kf(x)<br>3-f(x+k)<br>4-f(kx)
Alina [70]
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3 0
3 years ago
If you choose two cards at random from a deck of 52 cards, what is the probability that it is two diamonds?
kari74 [83]
<h3>Answer:</h3>

1/17 or 0.0588 (without replacement)

<h3>Step-by-step explanation:</h3>

To answer this question we need to know the following about a deck of cards

  • A deck of cards contains 4 of each card (4 Aces, 4 Kings, 4 Queens, etc.)
  • Also there are 4 suits (Clubs, Hearts, Diamonds, and Spades).
  • Additionally, there are 13 cards  in each suit (Clubs/Spades are black, Hearts/Diamonds are red) .

In this case, we are required to determine the probability of choosing two diamonds.

  • There are 13 diamonds in the deck.
  • Assuming, the cards were chosen without replacement;

P(Both cards are diamonds) = P(first card is diamond) × P(second card is diamond)

P(First card is diamond) = 13/52

If there was no replacement, then after picking the first diamond card, there are 12 diamond cards remaining and a total of 51 cards remaining in the deck.

Therefore;

P(Second card is diamond) = 12/51

Thus;

P(Both cards are diamonds) = 13/52 × 12/51

                                               = 156/2652

                                              = 1/17 or 0.0588

Hence, the probability of choosing two diamonds at random (without replacement) is 1/17 or 0.0588.

5 0
4 years ago
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