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Ipatiy [6.2K]
3 years ago
11

Answer=== -5process???​

Mathematics
2 answers:
natali 33 [55]3 years ago
7 0

Answer:

x = -5 (process below)

Step-by-step explanation:

1) To solve this easily, you can cross multiply. Multiply the numerator of the first fraction with the denominator of the second fraction, and multiply the denominator of the first fraction with the numerator of the second fraction:

\frac{2}{3x+1} = \frac{1}{2x+3} \\2(2x +3) = 1(3x + 1)\\4x + 6 = 3x + 1

2) Next, isolate x to find its values. Subtract both sides by 3x.

4x + 6 = 3x +1\\x + 6 = 1

3) Finally, subtract both sides by 6.

x + 6 = 1 \\x = -5

SSSSS [86.1K]3 years ago
4 0

Answer:

x=-5

Step-by-step explanation:

First, you have to cross multiply.

2*2x+3     1*3x+1

4x+6=3x+1

Then, you subtract 3x from both sides.

4x+6=3x+1

-3x     -3x

x+6=1

Next, you subtract 6 from both sides.

x+6=1

    -6  -6

x=-5

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noname [10]

Answer:

x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

x^2-3x-5=0

<u>Define the variables</u>:

\implies a=1, \quad b=-3, \quad c=-5

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)}}{2(1)}

\implies x=\dfrac{3 \pm \sqrt{9+20}}{2}

\implies x=\dfrac{3 \pm \sqrt{29}}{2}

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}

Learn more about the quadratic formula here:

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brainly.com/question/27750885

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2 years ago
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If (a+b)^2=54, and (a-b)^=46, then a^2+b^2=?
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Answer:

  y +9 = 15(x -2)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Here, you are given m=15 and (h, k) = (2, -9). Putting these values into the form gives the equation ...

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3 years ago
the Children's Hospital sponsors a 10k race to raise money. it receives $75 per race entry and $10,000 in donations but it must
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Answer:

There would need to be at least 1,800 entries in order for them to meet their goal.

Step-by-step explanation:

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