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SCORPION-xisa [38]
3 years ago
7

Which shows the expressions rewritten with the least common denominator? 5x+3/3x and 7x/2x^2

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

\frac{10x^2+6x}{6x^2} and \frac{21x}{6x^2}.

Step-by-step explanation:

The given expression is:

\frac{5x+3}{3x} and \frac{7x}{3x^2}.

The least common denominator is: 6x^2.

We collect  LCM for the denominator to obtain;

\frac{2x(5x+3)}{6x^2} and \frac{3(7x)}{6x^2}.

We multiply out the parenthesis to obtain;

\frac{10x^2+6x}{6x^2} and \frac{21x}{6x^2}.

Therefore the correct answer is B or the second option.

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Using the discriminant, describe the nature of the roots for the equation <br> 49x^2 − 28x + 4 = 0.
scZoUnD [109]

Answer:

Put the equation in standard form by bringing the 4x + 1 to the left side.

7x2 - 4x - 1 = 0

We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.

b2 - 4ac In this case, a = 7, b = -4, and c = -1

(-4)2 - 4(7)(-1)

16 + 28 = 44

Now here are the rules for determining the nature of the roots:

(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)

(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)

(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)

44 > 0, so there are two real roots

4 0
3 years ago
The Hernandez family's pool holds 2.715,69 gallons of water. An Olympic-size swimming pool holds
kirill [66]

Answer:

a

Step-by-step explanation:

its a

7 0
3 years ago
Write the exponent for the expression. <br> 1/8 x 1/8
kompoz [17]

Answer:

8^{-2}

Step-by-step explanation:

2^{-2} = 1/4

So:

8^{-2} = 1/8*1/8

5 0
3 years ago
there are 30 major league baseball (MLB) teames and 32 National football League (NFL) teams. The expanded roster for MLB teams i
maria [59]
40 players multiplied by 30 teams = 1,200 players in the MLB
53 players multiplied by 32 teams = 1,696 players in the NFL.
1,696 - 1,200 = 496

There are 496 more players in the NFL then in the MLB.
4 0
3 years ago
Which expression is equivalent to (3b + 2r) + (4b + r)?
Mice21 [21]

(3b + 2r) + (4b + r)

3b+4b +2r+r

7b +3r

Choice B


4 0
3 years ago
Read 2 more answers
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