How can you determine the number of solutions for an equation

Mathematics

1 answer:

ryzh [129]3 years ago

5 0

The way to determine the number of solutions is to complete the problem in multiple different ways.

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Simplify tan9x-tan5x / 1+tan9xtan5x

Wittaler [7]

Answer:

The given expressions simplifies to tan (4x).

Step-by-step explanation:

Here, the given expression is : $\frac{tan9x - tan5x}{1+ tan9xtan5x}$

By TRIGONOMETRIC IDENTITY:

$tan (A-B) = \frac{tanA - tanB}{1+ tanAtanB}$

Putting this identity here, and taking A = 9 x, B = 5 x, we get

$\frac{tan9x - tan5x}{1+ tan9xtan5x} = tan (9x-5x)$

= tan(4x)

Hence, the given expressions simplifies to tan (4x).

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3 years ago

Customers at a candy store took a survey. The results showed that 126 customers preferred chocolate candy. This represented 35%

erastovalidia [21]

460 students I’m pretty sure

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2 years ago

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PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$