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miskamm [114]
4 years ago
9

HELLPPPPPPPPPPPPP Solve x2 - 16x + 60 = -12 by completing the steps. First, subtract 60 from each side of the equation. Next, ad

d 64 to each side of the equation to complete the square. Now, write x² - 16x + 64 = -8 as ✔ (x - 8)² = -8

Mathematics
2 answers:
kompoz [17]4 years ago
3 0

Answer:

x = 8 ± 2i\sqrt{2}

Step-by-step explanation:

Given

x² - 16x + 60 = - 12 ( subtract 60 from both sides )

x² - 16x = - 72

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 8)x + 64 = - 72 + 64, thus

(x - 8)² = - 8 ( take the square root of both sides )

x - 8 = ± \sqrt{-8} = ± 2i\sqrt{2} ( add 8 to both sides )

x = 8 ± 2i\sqrt{2}

ohaa [14]4 years ago
3 0

Answer:

8 and 2

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

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A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose
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Answer:

(a) P(A1 ∪ A2) = 0.35

Step-by-step explanation:

(a) A1 ∪ A2 :

We start by defining the events.

A1 : '' awarded project 1''

A2 : ''awarded project 2''

A3: ''awarded project 3''

In set theory we write the union of events A and B as A∪B.

A∪B means that the event A occurs,event B occurs or either both events occurs at the same time.

The probability is given by the equation :

P(A∪B) = P(A) + P(B) - P(A∩B) (1)

Where the event (A∩B) is the event where A and B occur at the same time

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Using the equation (1) :

P(A1 ∪ A2) = P(A1) + P(A2) - P(A1∩A2)

P(A1 ∪ A2) = 0.22 + 0.25 - 0.12

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7 0
4 years ago
0.17x0.4 helpppppppp
sdas [7]

Answer:

The answer is 0.068.

Step-by-step explanation:

0.17 x 0.4 is 0.068

5 0
3 years ago
Solve the following :<br><img src="https://tex.z-dn.net/?f=2x%20%3D%2096%20-%2036" id="TexFormula1" title="2x = 96 - 36" alt="2x
Tems11 [23]
ANSWER:
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EXPLANATION:
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4 0
3 years ago
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A student conducted an experiment with a toy by cart by varying the force applied toward the right and observing the results. Th
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Answer:

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8 0
3 years ago
In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volum
GaryK [48]

Answer:

The required volume is 5 ml.

Step-by-step explanation:

Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.

To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?

Solution :

According to question we use the formula,

\text{Present Volume}=\dfrac{\text{Vol}_{\text{Alcohol}}}{\text{Vol}_{\text{total}}}\times 100\%

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