How many solutions does this equation have? a + 3 + 2a = -1 + 3a + 4

Mathematics

2 answers:

DaniilM [7]3 years ago

5 0

Answer: There are infinitely many solutions of this equation.

Step-by-step explanation:

The given equation : $a + 3 + 2a = -1 + 3a + 4$

First we try to solve the above equation by combining the like terms (by reordering them), we get

$3a+3=3a+3$

Subtracting 3a from both sides (by using subtracting property of equality), we get

$3=3$ , which is absolutely a correct fact.

That means, the equation has infinitely many solutions as a can take any real value .

Thus , there are infinitely many solutions of this equation.

vekshin13 years ago

4 0

-8a+4 im pretty sure

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Base: z(x)=cosx Period:180 Maximum:5 Minimum: -4 What are the transformation? Domain and Range? Graph?

garik1379 [7]

Answer:

The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is $z'(x) = \frac{1}{2} + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)$ .

The domain of the function is all real numbers and its range is between -4 and 5.

The graph is enclosed below as attachment.

Step-by-step explanation:

Let be $z (x) = \cos x$ the base formula, where $x$ is measured in sexagesimal degrees. This expression must be transformed by using the following data:

$T = 180^{\circ}$ (Period)

$z_{min} = -4$ (Minimum)

$z_{max} = 5$ (Maximum)

The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of $2\pi$ radians. In addition, the following considerations must be taken into account for transformations: