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Ira Lisetskai [31]
3 years ago
7

Solve for d. (d-e)/(3d +e)=d

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

\dfrac{d-e}{3d+e}=d\ \ \ \ |\text{cross multiply}\\\\d(3d+e)=d-e\\\\3d^2+de=d-e\ \ \ |-d+e\\\\3d^2+de-d+e=0\\\\3d^2+(e-1)d+e=0

Use the quadratic formula:

a=3,\ b=e-1,\ c=e\\\\b^2=(e-1)^2-4(3)(e)=(e-1)^2-12e\\\\d=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\d=\dfrac{-(e-1)\pm\sqrt{(e-1)^2-12e}}{2\cdot3}\\\\\boxed{d=\dfrac{1-e\pm\sqrt{(e-1)^2-12e}}{6}}

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7 0
2 years ago
If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.
alexandr1967 [171]
<span>If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.
Let’s try to be able to know the answer:
=> Let’s have 10 as the value
Increase by 25%
=> 10 + 25%
=> 10 * .25 =  2.5
=> 10 + 2.5 = 12.5 the new value
Now, decrease this by 25%
=> 12.5 – 25%
=> 12.5 * .25 = 3.125
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Thus, the given statement is false.

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3 0
3 years ago
I need help with midpoint
Andrews [41]
Well first of all you got to show your answer.
6 0
3 years ago
Read 2 more answers
Selena's gross annual salary as the Content editor of a fashion Magazine is Rs 40000 she contribute 10% of her salary. before sh
aalyn [17]

Answer:

Selena's annual intake home salary is $ 26,640.

Step-by-step explanation:

Since Selena's gross annual salary as the content editor of a fashion Magazine is $ 40,000, and she contributes 10% of her salary before she pays taxes to a retirement account, and 25% of her remaining salary is then consumed in state and federal taxes, To determine what is Selena's annual intake home salary if she also has to pay $ 30 for health Insurance each month, the following calculation must be performed:

40,000 - (40,000 x 0.1) - (40,000 x 0.9 x 0.25) - (30 x 12) = X

40,000 - 4,000 - 9,000 - 360 = X

26.640 = X

Therefore, Selena's annual intake home salary is $ 26,640.

7 0
3 years ago
Need help really badly please help .
Harlamova29_29 [7]

Answer:

sin s = 36 / 42 = 18 / 21 = 6/ 7

sin R = 14 / 42 = 7 / 21 = 1 / 3

cos s = 14 / 42 = 1 / 3

cos R = 36 / 42 = 6 / 7

4 0
3 years ago
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