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2 years ago

Determine whether the function below is an even function, an odd function, both, or neither.

Mathematics

2 answers:

Kipish [7]2 years ago

6 0

Answer:

Even Function

Solution:

For an even function:

f(x) = f(-x)

For an odd function:

f(x) = -f(x)

Since f(-x) = f(x), the given function is an even function.

kifflom [539]2 years ago

5 0

The correct answer is A.

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Orlov [11]

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X²+y²-6x+14y-1=0 and please show your work so I can learn

Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

$x^2 + y^2 -6x+14y-1=0$

We need to use the Quadratic Formula*

$x =\frac{-b+\sqrt{b^2}-4ac }{2a}$ , $\frac{-b-\sqrt{b^2} -4ac }{2a}$

Thus, given the problem:

$a = 1, b=-6, c=y^2+14y-1$

So now we just need to plug them in the Quadratic Formula*

$x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$ , $x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$

As you can see, it is a mess right now. Therefore, we need to simplify it

$x=\frac{6+2\sqrt{10-y^2-14y} }{2}$ , $x = \frac{6-2\sqrt{10-y^2-14y} }{2}$

Now that's get us to the final solution:

$x=3+\sqrt{10-y^2-14y}$ , $x=3-\sqrt{10-y^2-14y}$

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2 years ago

Compare and Contrast Graph y = 2x + 5 and y=-13x+5. Describe how these lines are alike and how they are different. *

krek1111 [17]

Here are a couple I found:

Similarities:

They have the same y-intercept of (0,5).
They are both in slope-intercept form.

Differences:

The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
They have different x-intercepts. (y = 2x + 5 intersects (- $\frac{5}{2}$ , 0) while y = -13x + 5 intersects at ( $\frac{5}{13}$ , 0)

Explanation:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = 2x + 5 and negative in y = -13x + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

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2 years ago

Solve the equation 14 = 9 - p

morpeh [17]

14 = 9 - p

Move 9 to the other side

Sign changes from +9 to -9

14-9= 9-9-p

14-9= -p

5=-p

Mutiply both sides by -1 to get + p

(5)(-1)= (-p)(-1)

p= -5

Answer: p= -5

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2 years ago