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OlgaM077 [116]
4 years ago
7

Find one value of x that is a solution to the equation:(2x-3)^2=4x-6​

Mathematics
1 answer:
natita [175]4 years ago
6 0

Answer:

5/2 or 3/2

Step-by-step explanation:

(2x-3)(2x-3)

FOIL it out

4x^2-6x-6x+9

4x^2-12x+9=4x-6

add 12x to each side

4x^2+9=16x-6

add 6

4x^2+15=16x

4x^2-16x+15=0

use quadratic formula

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Answer:

c

Step-by-step explanation:

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3 years ago
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May I please receive help?
romanna [79]

Answer:

\frac{10}{9}\pi      yards

Step-by-step explanation:

The circumference of this circle = 2πr

                                                     = 8π

We have to find the arc length of 50°, or 50/360 times the circumference of the circle(because there is 360° in a circle)

\frac{50}{360} * 8\pi = \\\\\frac{400\pi}{360} =\\\\ \frac{10\pi}{9}

-Chetan K

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3 years ago
Jim ran 12 1/2 miles in 2 1/2 hours. How many hours for 1 mile?
Klio2033 [76]

Answer:

1/5 hours i.e 0.2 hours (which is 12 mins)

Step-by-step explanation:

First note that 12 1/2 = 12.5, and 2 1/2 = 2.5.

To work out how many hours it takes hime to drive one mile, we divide the number of hours (2.5) by the number of miles (12.5),

i.e 2.5 ÷ 12.5

which equals 1/5 = 0.2 hours (= 12 mins).

4 0
3 years ago
Given a standard deck of 52 cards, 3 cards are dealt without replacement. Using this situation, answer the questions below.<b
kherson [118]
Given that <span>3 cards are dealt without replacement in a </span><span>standard deck of 52 cards.

Part A:

There are 4 queens in a standard deck of 52 card, thus the probability that the first card is a queen is given by 4 / 52 = 1 / 13.

Since, the first card is not replaced, thus there are 3 queens remaining and 51 ards remaining in total, thus the probability that the second card is a queen is given</span> by 3 / 51 = 1 / 17

Similarly the probability that the third card is a queen is given by 2 / 50 = 1 / 25.

Therefore, the probability that <span>all three cards are queens is given by

\frac{1}{13} \times \frac{1}{17} \times \frac{1}{25} = \frac{1}{5525}



Part B:

Yes the probability of drawing a queen of heart is independent of the probability of drawing a queen of diamonds because they are separate cards and drawing one of the cards does not in any way affect the chance of drawing the other card.



Part C:

Given that the first card is a queen, then there are 3 queens remaining out of 51 cards remaining, thus the number of cards that are not queen is 51 - 3 = 48 cards.

Therefore, </span>if the first card is a queen, the probability that the second card will not be a queen is given by 48 / 51 = 16 / 17



Part D:

<span>Given that the first two card are queens, then there are 2 queens remaining out of 50 cards remaining.

Therefore, </span>if two of the three cards are queens ,<span>the probability that you will be dealt three queens</span> is given by 2 / 50 = 1 / 25 = 0.04



Part E:

<span>Given that the first two card are queens, then there are 2 queens remaining out of 50 cards remaining, thus the number of cards that are not queen is 50 - 2 = 48 cards.

Therefore, </span>if two of the three cards are queens ,the probability that the other card is not a queen is given by 48 / 50 = 24 / 25 = 0.96
8 0
4 years ago
Which graph represents the solution set of the inequality Negative 14.5 less-than x?
Natalka [10]

Answer:

I think Its C

Step-by-step explanation:

I did it on unit test so idk if its right or wrong

4 0
4 years ago
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