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Virty [35]
3 years ago
8

X^2-18x+67=0 Solve the quadratic equation by completing the square.

Mathematics
1 answer:
Assoli18 [71]3 years ago
5 0

Answer:

x = 9 ± √14

Step-by-step explanation:

x² − 18x + 67 = 0

Move the constant to the other side:

x² − 18x = -67

Take half of -18, square it, and add to both sides.

(-18/2)² = (-9)² = 81

x² − 18x + 81 = -67 + 81

x² − 18x + 81 = 14

Factor the perfect square:

(x − 9)² = 14

Solve for x:

x − 9 = ±√14

x = 9 ± √14

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A person places $82100 in an investment account earning an annual rate of 4.3%, compounded continuously. Using the formula V = P
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Answer:

$89,472.58

Step-by-step explanation:

P = $82100

r = 4.3% = 4.3/100 = 0.043

T = 2 years

V = P × e^rt

V = 82100 × e^(0.043 × 2)

V = 82100 × e^(0.086)

V = 82100 × 1.0898

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The interest after 2 years is $89,472.58

7 0
3 years ago
(a) Fill in the tavle below to complete the proability distrubution of X
Aliun [14]

Answer:

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Step-by-step explanation:

Given :

x 1 2 3 4

P(x) 0.3 0.2 ? 0.4

Σp(x) = 1

Hence, 0.3 + 0.2 +? + 0.4 = 1

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? = 1 - 0.9

? = 0.1

For the mean :

E(X) = ΣX*P(X)

(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)

0.3 + 0.4 + 0.3 + 1.6 = 2.6

Hence, the mean = 2.6

6 0
3 years ago
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Step-by-step explanation:

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2 years ago
A bin contains 1 green, 1 blue and 4 black soccer balls. What is the probability of getting NOT blue?
liubo4ka [24]

Answer: 5/6

Step-by-step explanation:

First find total number of soccer balls.

1 + 1 + 4 = 6

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6 0
3 years ago
Please someone answer for this question
Maslowich
First one is 5/3
Second one is: 5
Third one is: 15
3 0
3 years ago
Read 2 more answers
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