Answer:
Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.
Step-by-step explanation:
The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.
[√(x + 8)]² = (x + 6)²
x + 8 = x² + 12x + 36
x² + 11x + 28 = 0
x² + 7x + 4x + 28 = 0
(x + 7)(x + 4) = 0
x = -7 and x = -4
The possible values of x are -7 and -4.
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Answer:
4.344
Step-by-step explanation:
Multiply.
We have 22 tickets sold, and 20 seats. This means that at least 2 passengers must not show up (otherwise, at least 21 passengers will be present, and there wouldn't be space for them).
Considering each passenger as independent, you can think of this experiment. Suppose you toss a coin for each passenger. If the coin lands on heads, the passenger shows up. If it lands on tails, the passenger doesn't show up.
But the coin is unfair: it has a 0.91 probability of landing on heads, and thus 0.09 probability of landing on tails.
This implies that the probability of having exactly
tails is

We already concluded that at least two passengers must not show up. So, if our coins lands on tails less than twice, we've lost. So, the losing probability is

Finally, remember the rule to negate events:

So, if we lose with probability 0.39, we win with probability

For this case we have an exponential expression of the form:

We can rewrite the exponential expression using power properties.
We have then:

From here, we take the square root of 36.
We have then:
Answer:
The exponential function is given by:
Answer:
red
Step-by-step explanation: