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3 years ago

8

Mathematics

1 answer:

konstantin123 [22]3 years ago

5 0

Answer:

f(x) = 7

Step-by-step explanation:

since an even function is defined as a function with the following rule. f(-x) = f(x) for all x in the domain of f(x). It would be odd if f(-x) = -f(x) for all x in the domain of f(x). If f(-x) ≠ -f(x), than it is neither. these are all known as the parity of a function.

you can apply these rules to all of given functions like this. (-x-1) ≠ -(x-1) so it is neither. 8(-x) = -(8x) so it would be odd. 2(-x)-(-x) = -(2x-x) so it is odd as well. This would make f(x) = 7 the only option, as there are no x variables in the equation so 7 = 7.

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For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at

GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

$\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}$ $\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}$

Now, let's add the components of the same direction:

$\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}$

To find the resultant bearing (theta), we can use the formula below:

$\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}$

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0

1 year ago

Which ordered pairs is a solution to −5x + 3y > 12?

In-s [12.5K]

Answer :-

Given inequality ,

-5x +3y > 12
3y > 5x + 12
y > 5/3x + 12/3
y > 5/3x + 4

From the options ,

When x is 3 and y = 9

y >1* 5 + 4
y > 5 +4
9> 9 ( Not possible )

When x is -5 y is 5

y > 5/3*-5 + 4
y > -8.3 + 4
5 > -3.7 ( Possible )

When x is 3 y is -6

y > 5 + 4
-6 > 9 ( Not possible )

When x is -2 y is -5

y > -3.33 + 4
-5 > -0.67 ( Possible )

When x is 2 y is 8

y > 3.33 + 4
8 > 7.77 ( possible )

When x is -6 y is 0

y > -10 +4
0 > -6 ( possible )

7 0

3 years ago

Read 2 more answers

Graph y = 2x-7 plot it !

lord [1]

Answer:just start at 7 and go out 2 up 1

Step-by-step explanation:

Edit:sorry ment -7

4 0

3 years ago

The soccer team bought new uniforms for $ 649.62. if there are 12 kids on the team, how much did each uniform cost? ( round answ

lianna [129]

Answer:

$54.14 per soccer uniform

Step-by-step explanation:

649.62/12

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Round to the nearest penny - $54.14

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I don’t understand this question?

Andrej [43]

Answer:

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Step-by-step explanation:

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