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Fed [463]
3 years ago
10

Morton made 42 out of 56 free throws last season.

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0

Answer:

90

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5
Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
3 years ago
From his house, Tom rides his bike 5 kilometers east to the store. He then rides his bike 2 kilometers west to his friends house
mario62 [17]

Answer:

3 km

Step-by-step explanation:

He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.

7 0
2 years ago
Calculate the slope.please help due in 2 hours
sergejj [24]

Answer:

Slope = 4

Step-by-step explanation:

Use any two pairs from the table of values, say (0, 3) and (2, 11).

Slope = ∆y/∆x

Slope = \frac{11 - 3}{2 - 0}

Slope = \frac{8}{2}

Slope = 4

3 0
3 years ago
About waves speed i want information about waves speed
Goryan [66]

Answer:

Wave speed is the distance that a wave travels in a given amount of time. Wave speed is related to wave length and wave frequency. Wave frequency can be found by using the formula Speed=wavelength × frequency

Step-by-step explanation:

6 0
3 years ago
Peter and his four brothers combined all of their money to buy a video game. If 30% of the total money is Peter's, and $12.00 of
kari74 [83]

Answer:

$20.00

Step-by-step explanation:

t represents the total amount

0.25t = 5.00

Can you solve for t and answer?

Or logically

Peter's $5.00 is 1/4 (25%) of the total.

Therefore 4/4 is $20.00

6 0
2 years ago
Read 2 more answers
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