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mestny [16]
4 years ago
12

Which expression is equivalent to

Mathematics
1 answer:
Damm [24]4 years ago
4 0

Answer:

\frac{(2a+1)^{2} }{50a}

Step-by-step explanation:

\frac{2a+1}{10a-5} * \frac{4a^{2} - 1}{10a}\\ = \frac{2a+1}{5(2a-1)} * \frac{(2a+1)(2a-1)}{10a}\\=\frac{(2a+1)^{2} }{50a}

1.The expression given is in division so when changing to multiplication the fraction is reversed.

2.Using algebra identity a^{2}  - b^{2}  = (a+b)(a-b).

3. Taking the common factor 5 out.

4. Finally cancelling the like terms from the numerator and denominator.

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to solve the system of equations below, Becca isolated x^2 in the firs equation and then substituted it into the second equation
bija089 [108]

The resulting equation if Becca isolated x² in the first equation and then substituted it into the second equation is (9-y²) / 25 - y²/36 = 1

<h3>Equation</h3>

x² + y² = 9

x²/25 - y²/36 = 1

From (1)

x² = 9 - y²

substitute x² = 9 - y² into (2)

x²/25 - y²/36 = 1

(9-y²) / 25 - y²/36 = 1

Therefore, the resulting equation is option C; (9-y²) / 25 - y²/36 = 1

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4 0
2 years ago
2x - 1 = 3x + 2 <br> 3 6<br> A) -4 <br> B) 2 <br> C) 4 <br> D) 1/4
11111nata11111 [884]

For this case we must find the solution of the following equation:

2x-1 = 3x + 2

If we subtract 3x from both sides of the equation we have:

2x-3x-1 = 2

Different signs are subtracted and the major sign is placed

-x-1 = 2

We add 1 to both sides of the equation:

-x=2+1\\-x=3

We multiply by -1 on both sides of the equation:

x = -3

So, the solution isx = -3

Answer:

x = -3

4 0
3 years ago
If tanisha has $100 to invest at 8% annum compounded monthly, how long will it be before she has $150?
marissa [1.9K]

An exponential behavior can be observed.

Let x be the number of years she has to wait.

100((1+0.08/12)^12x) = 150

Now solve for x.

log base 1.08/12 of 1.5 = 61.02 approx

12x=61.02

x=5.09 years

4 0
3 years ago
Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?.​
umka2103 [35]

Answer:

huh what grade

Step-by-step explanation:

5 0
3 years ago
Which expression is the GCF of the terms of the polynomial? 16x^3+28x^5y
In-s [12.5K]
16x^3 + 28x^5y = 4x^3(4 + 7x^2y)
Therefore, the gcf is 4x^3
8 0
3 years ago
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