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timofeeve [1]
3 years ago
11

8(3n + 5) = -32 what does n =

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer: n = -3

Step-by-step explanation:

8(3n + 5) = -32

  • <em>Divide both sides by 8.</em>

(3n + 5) = -4

  • <em>Subtract 5 by both sides.</em>

3n = -4 - 5

3n = -9

  • <em>Divide both sides by 3.</em>

n = -3

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1.<br> Simplify the expression:<br> 4w3z4 + 3w3 + 4z4 + 2w3z4 + z
Mrac [35]

Answer:72wz+17z+9w

Step-by-step explanation:

You multiply them together  them add to simplify them.

8 0
3 years ago
F(x)=x2+5x-1 is shifted 3 units left the result is g(x) what is g(x)?
Len [333]
Replace the x in  x^2 + 5x - 1 by x+3:-

g(x) =
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6 0
3 years ago
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:

1) x must be replaced by \frac{2\pi\cdot x}{180^{\circ}}. (Horizontal scaling)

2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:

\Delta z = \frac{z_{max}-z_{min}}{2}

\Delta z = \frac{5+4}{2}

\Delta z = \frac{9}{2}

3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)

z_{m} = \frac{z_{min}+z_{max}}{2}

z_{m} = \frac{1}{2}

The new function is:

z'(x) = z_{m} + \Delta z\cdot \cos \left(\frac{2\pi\cdot x}{T} \right)

Given that z_{m} = \frac{1}{2}, \Delta z = \frac{9}{2} and T = 180^{\circ}, the outcome 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.

8 0
3 years ago
Which of the following is the graph of the quadratic function? y=x^2+4-12
tiny-mole [99]

Answer:

Graph B

Step-by-step explanation:

The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis

Now the first thing we will do here is to solve the quadratic equation graph;

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x (x + 6) -2(x + 6) = 0

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x = 2 or -6

So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation

Graph B is the closest to what we have as answer

5 0
3 years ago
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