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Masteriza [31]
3 years ago
14

Solving a Quadratic Equation by Completing the Square Solve x2 + 8x = 33 by completing the square. Which is the solution set of

the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}
Mathematics
2 answers:
tresset_1 [31]3 years ago
8 0
Divide the coefficient of x by 2 then square the quotient.
Add the result to both sides of the equation.

x^2 + 8x = 33
x^2 + 8x + (\frac{8}{2})^2 = 33 + (\frac{8}{2})^2
x^2 + 8x + 4^2 = 33 + 4^2
x^2 + 8x + 16 = 33 + 16
x^2 + 8x + 16 = 49

Factor the left-hand side.

(x + 4)^2 = 49

Square both sides.

x + 4 = \sqrt{49}

Subtract both sides by 4.

x = -4± \sqrt{49}

Simplify.

x = -4± 7
So, x can either equal -4 + 7 or -4 - 7

So, the answer is {-11, 3}

NOTE: You're probably seeing a strange A in the equations. I tried to fix it, but I couldn't. Sorry about that.
Anestetic [448]3 years ago
8 0

Answer: The Answer To This Problem is {–11, 3} .Which Is Option A!!!

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Step-by-step explanation:

The confidence interval is:

CI = μ ± ME

So the mean is the middle of the confidence interval, and the margin of error is half the difference.

μ = (0.118 + 0.220) / 2 = 0.169

ME = (0.220 − 0.118) / 2 = 0.051

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Suppose a bus arrives at a bus stop every 35 minutes
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Answer:

3/7

Step-by-step explanation:

The probability of at least is 1 - the probability of at most

P(at least x) = 1 - P(at most x)

The given is:

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∵ The bus arrives at a bus stop every 35 minutes

∵ You arrive at the bus stop at a random time

∵ You will wait at most for 20 minutes for the bus

∴ P(at most 20 minutes) =

∵ P(at least 20 minutes) = 1 - P(at most 20 minutes)

∴ P(at least 20 minutes) = 1 -

∴ P(at least 20 minutes) =

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