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BigorU [14]
3 years ago
9

he first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically

are shown in the table. Which represents the solution(s) of this system of equations?
Mathematics
2 answers:
frutty [35]3 years ago
8 0

Question:

Which represents the solution(s) of this system of equations?

Answer:

(-3,-1)

ivann1987 [24]3 years ago
5 0

Answer:

The solutions are -3 and -1

Step-by-step explanation:

∵ y = -x² - 2x + 8

∵ y = 2x + 11

∴ -x² - 2x + 8 = 2x + 11

∴ -x² - 2x - 2x + 8 - 11 = 0

∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1

∴ x² + 4x + 3 = 0

∴ (x + 3)(x + 1) = 0

∴ x + 3 = 0 ⇒ x = -3

∴ x + 1 = 0 ⇒ x = -1

∴ The solutions are -3 and -1

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Answer:

0.10

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You are offered the following gamble based on coin flips. If the first heads occurs on the first flip, you get $2. If the first
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Answer:

infinity

Step-by-step explanation:

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i.e

expected value = \frac{1}{2}*2 +  \frac{1}{4}*4 +  \frac{1}{8}*8 + \frac{1}{16}*16 + ... + \to  \infty (infinty) \\

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b)

When offered, most people say they would pay only less than $10 to play this game.

What are two reasons why people are willing to pay so much less than the expected value?

These people are ready to pay less than $10 to play this game due to the fact that people usually overlook the unlikely event when making decisions. In a bid to that logic, they gamble in order to double their amount of money and the probability that heads may never come is ignored by these people and they may hope for a likely event i.e a head every time they play the game.

Also, the expected value is so humongous that if and only if that the first head appears after a long series of tails which is  very less certain to occur, because mostly people would think that on an average the length of a series of tails ( or heads) is somewhat near 10 or so, but definitely infinity.

3 0
3 years ago
The table shows the cost of renting ski equipment at a ski lodge. Write a linear function f for the sequence. Then graph the fun
Bingel [31]

Answer:

<u>y=5x+7</u>

<u>or</u>

<u>f(x)=5x+7</u>

Step-by-step explanation:

Slope (m) = 5

Y-intercept (b) = 7

Using the equation y=mx+b, you can find m and b to make y=5x+7.

Steps:

(1, 12) (2, 17)                          formula: y2-y1 / x2-x1 = m

17-12= 5

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5/1=5

m=5

12=5(1)+b

12=5+b

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17=5(2)+b

17=10+b

7=b

<u>Answer: y=5x+7</u>

<u>or</u>

<u>f(x)=5x+7</u>

6 0
2 years ago
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Anna11 [10]

Answer:

Step-by-step explanation:

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