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elixir [45]
3 years ago
6

F(x) = 3x2 – 2x + 4 and g(x) = 5x2 + 6x – 8, find (f – g)(x)

Mathematics
1 answer:
makkiz [27]3 years ago
7 0
(f - g)(x) = (3x² - 2x + 4) - (5x² + 6x - 8<span>)
</span>(f - g)(x) = 3x² - 2x + 4 - 5x² - 6x + 8
(f - g)(x) = -2x² - 8x + 12
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During a sale all pillows are 1/4 of th regular price write an expression that represents the amount of money saved on a pillow
grin007 [14]
D(1-1/4)
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3/4d represents the money saved on a pillow
3 0
3 years ago
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?
alexandr1967 [171]

Answer:

The probability that the last card dealt is an ace is \frac{1}{13}.

Step-by-step explanation:

Given : A deck of ordinary cards is shuffled and 13 cards are dealt.

To find : What is the probability that the last card dealt is an ace?

Solution :

There are total 52 cards.

The total arrangement of cards is 52!.

There is 4 ace cards in total.

Arrangement for containing ace as the 13th card is 4\times 51!.

The probability that the last card dealt is an ace is

P=\frac{4\times 51!}{52!}

P=\frac{4\times 51!}{52\times 51!}

P=\frac{4}{52}

P=\frac{1}{13}

Therefore, the probability that the last card dealt is an ace is \frac{1}{13}.

4 0
3 years ago
If -1 &lt; x &lt; 0 which of the following has the smallest value?
Katyanochek1 [597]

Answer: (B) x^3

Explanation:

If you compare the graphs of

  • y = x^2
  • y = x^3
  • y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.

6 0
3 years ago
Need help with 5 6 7 and 8. at least answer one of them .
likoan [24]

Answer:

5) moves one place to right

6) moves one place to left

Step-by-step explanation:

8 0
3 years ago
Veda solves the following system of linear equations by eliminations. What is the vale of x in the solution of the system of equ
kupik [55]

Answer:

x = -1, y = 1

Step-by-step explanation:

6 + 4x - 2y = 0 (1)

-3 - 7y = 10x (2)

From (1)

6 + 4x - 2y = 0 (1)

4x - 2y = -6 (3)

From (2)

-3 - 7y = 10x (2)

10x + 7y = -3 (4)

4x - 2y = -6 (3)

10x + 7y = -3 (4)

Using elimination method

Multiply (3) by 10 and (4) by 4 to eliminate x

40x - 20y = -60

40x + 28y = -12

28y - (-20y) = -12 - (-60)

28y + 20y = -12 + 60

48y = 48

y = 48/48

y = 1

Substitute y = 1 into (3)

4x - 2y = -6 (3)

4x - 2(1) = -6

4x - 2 = -6

4x = -6 + 2

4x = -4

x = -4/4

x = -1

x = -1, y = 1

The value of x in the equation is -1

4 0
3 years ago
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