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umka21 [38]
3 years ago
10

Let f(x) = - 4x+2 and g(x) = x2 + 2. Find (f+g)(x).

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

Answer:

x^{2}-4x+4

Step-by-step explanation:

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Simplify the expression (9)^3/2
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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
2 years ago
A 7000.00 principal is invested in 2 accounts, 1 earning 3%interest the other 7% interest with the total interest for the year 2
MakcuM [25]

Answer:

The amount in the first account is $5,700

The amount in the second account is $1,300

Step-by-step explanation:

Let the mount invested in the first account be x and the one invested in the second account be y.

Then the total principal is x+y=7000---->(1)

The interest in the first account is .03*x

The interest in the first account is .07*y

The total interest for the year  is 262.00.

This implies that:

0.03x+0.07y=262---->(2)

We solve the two equations simultaneously to get:

x=5,700 and y=1,300

7 0
3 years ago
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