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Ilya [14]
3 years ago
12

A boy rides bike at an average speed of 15km/hour, how long will it take him to ride 40km?​

Mathematics
1 answer:
Lorico [155]3 years ago
4 0

Answer:

1 2/3 or 1 hour and 20 mins

Step-by-step explanation:

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
Solve the inequality 3u+3(u+1)&gt;2u+7 and write the solution in interval notation.
strojnjashka [21]

<u>Given</u>:

The given inequality is 3u+3(u+1)>2u+7

We need to determine the solution of the inequality in interval notation.

<u>Solution of the inequality:</u>

The solution of the inequality can be determined by simplifying the inequality.

Thus, we have,

3u+3u+3>2u+7

       6u+3>2u+7

Subtracting both sides by 3, we get;

6 u>2 u+4

Subtracting both sides by 2u, we have;

4 u>4

Dividing both sides by 4, we get;

u>1

Writing it in interval notation, we get;

(1, \infty)

Thus, the solution of the inequality is (1, \infty)

5 0
3 years ago
1/3 (12x-24) =16
liraira [26]

Answer:

6

Step-by-step explanation:

Multiplying both sides by 3, we have 12x - 24 = 48. Adding both sides by 24, we have 12x = 72. That means x = 6

Can I have brainliest

4 0
3 years ago
I need help (asap)! #5-8
7nadin3 [17]
5) 1.1802 x 10^6
6) 0.00016
7) 4.3 x 10^-3
8) 2,835,000
3 0
3 years ago
Graph 14x+34y=1 pretty please with a cherry on top!Also thank-you
Svetlanka [38]
To make it much easier, it should be converted to the slope-intercept form
 y = mx + b

To do so, 14x + 34y = 1 turns to:
34y = -14x + 1

Divide both sides by 34:
\frac{34y}{34} =  \frac{-14}{34} x +  \frac{1}{34}
Simplified:
y = \frac{-7}{17} x + \frac{1}{34}

Answer: y = -\frac{7}{17} x + \frac{1}{34}
Here is the graph:




4 0
3 years ago
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