Can someone pls help me

Mathematics

1 answer:

Katena32 [7]3 years ago

8 0

9514 1404 393

Answer:

y > 1/2x + 2

Step-by-step explanation:

The points shown on the line are separated by a "rise" of 1 unit vertically, and a "run" of 2 units horizontally. Its slope is rise/run = 1/2.

The line crosses the y-axis at y=2, so the y-intercept is 2.

The boundary line is then ...

y = mx + b . . . . . . . where the slope is m and the y-intercept is b

y = 1/2x + 2 . . . . . . the equation of the boundary line

The line is dashed, and the shaded area is above the line, where y-values are greater than the y-value on the line. Then the y-values on the line are NOT included in the solution set. The inequality is ...

y > 1/2x + 2

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1. Draw the graph of f(x) = cos x for 0 I know how to construct the graph but I don’t know how to get the figures. Please help

KengaRu [80]

Answer:

Please refer to the attached figure.

Step-by-step explanation:

Given the function:

$f(x) =cosx \ where\ \{0^\circ\leq x\leq 360^\circ\}$

OR, the given function can also be written as:

$y = f(x) = cosx$

We know that graph of cosine is a wave.

and the range of cosine function is [-1, 1]

First of all, let us have a table of values at major values of x.

$x = 0, f(x) = 1\\x = 90, f(x) = 0\\x = 180, f(x) = -1\\x = 270, f(x) = 0\\x = 360, f(x) = 1$

So, the table of values for f(x) is:

$\begin{center}\begin{tabular}{ c c }x & cosx \\0 & 1 \\90 & 0\\180 & -1\\270 & 0\\360 & 1\\\end{tabular}\end{center}$

Let us mark these points on the xy coordinate axis where x axis represents value of<em> x </em>and y axis represents value of $f(x) = cosx$ and then join the points using a wave.