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cupoosta [38]
1 year ago
7

Solve for u. Enter your answer in the answer box and then click Check Answer.

Mathematics
1 answer:
Lunna [17]1 year ago
6 0

Given that:

G=\frac{d}{1-u}

- we cross multiply as follows:

G\times(1-u)=d

- we divide both sides by G, as follows:

\begin{gathered} \frac{G\times(1-u)}{G}=\frac{d}{G} \\  \end{gathered}1-u=\frac{d}{G}

- Subtract 1 from both sides of the equation:

1-u-1=\frac{d}{G}-1-u=\frac{d}{G}-1

- multiply both sides of the equation by -1, as follows:

-u\times-1=(\frac{d}{G}-1)\times-1u=-\frac{d}{G}+1

Therefore, we have that:

u=1-\frac{d}{G}

or:

u=\frac{G-d}{G}

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Find the x- and y- intercepts of parabola y=5x^2-16x+10
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Y-INTERCEPT

y = 5x^2 - 16x + 10

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

The x-intercepts are at:

(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)

5 0
2 years ago
Find the value of x.<br> 71°<br> (10x + 6)°<br> (13x - 2)°<br> (8x - 1)<br> #15
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Answer:

7x7/6x4

Step-by-step explanation:

5 0
3 years ago
Find the solution for x if |5x – 2| = 13.
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Step-by-step explanation:

4 0
3 years ago
Mark wants to be a millionaire by the time he retires at age 65. He assumes there is a 6% annual interest rate. If he starts sav
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Answer:

B is the answer for this question. :)

Step-by-step explanation:


5 0
3 years ago
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| the British 50-pence coin shown on the right is in the shape of a
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For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

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3 years ago
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