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Mathematics

2 answers:

Gekata [30.6K]4 years ago

3 0

The rule is to subtract 6

Vesna [10]4 years ago

3 0

The rule for the sequence subtract 6 or add -6

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What is the inverse of -9x+2

horsena [70]

Step-by-step explanation:

so,

y = -9x + 2

now we need to transform this equation that actually x is calculated out of y.

and then, at the end, to make the inverse function a formally correct function, we rename x to y and y to x.

so,

y = -9x + 2

y - 2 = -9x

x = -(y - 2)/9 = (-y + 2)/9

=> for a formal function definition

y = (-x + 2)/9

7 0

3 years ago

Write a correct equation for the function whose graph is shown.

Rom4ik [11]

Answer:

$\displaystyle y=-2sin(6t)$

Step-by-step explanation:

<u>Sinusoid</u>

The shape of a sinusoid is well-know because it describes a curve with a smooth and periodic oscillation. The sine and cosine are the two trigonometric functions in which the graph matches the description of a sinusoid. The sine can be identified because its value is zero at time zero.

The graph shown in the figure corresponds to a sine. The other characteristics of the sine function are

* It completes a cycle in $2\pi$ radians

* It has a maximum of 1 and a minimum of -1

* It's increasing for a quarter of the cycle, decreasing for half of the cycle, and increasing for the remaining quarter of the cycle

* The equation is

$y=Asin(wt)$

The function starts decreasing for the first quarter, which only is possible if the amplitude A is negative. We can also see the maximum and minimum values are 2 and -2 respectively. This means the amplitude is A=-2

We can also see the function completes 3 cycles in $t=\pi$ radians or 6 cycles in $2\pi$ radians. Or, equivalently