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Wittaler [7]
3 years ago
15

Select the correct answer.

Mathematics
1 answer:
Anna [14]3 years ago
7 0

Answer:

C

Step-by-step explanation:

An odd function is a function which satisfies f(-x) = -f(x). This means when the opposite input value of x is substituted, then the opposite value of f(x) is given. This means it'll be odd.

A.  Inputting the opposite x value gives the same f(x).

(3,-5) and (-3,-5)

B.   Inputting the opposite x value gives the same f(x).

(-1,16) and (1,16)

C.   Inputting the opposite x value gives the opposite f(x).

(-2,32) and (2,-32)

D.   Inputting the same x value gives the same f(x).

(4,28) and (4,-28)

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5. Find the value(s) of x so that the line containing the points (2x + 3, x + 2) and (0, 2) is
Dvinal [7]

Answer:

  x = -2 or -9

Step-by-step explanation:

You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).

<h3>Slope</h3>

The slope of a line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the formula, the slopes of the two lines are ...

  m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)

and

  m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)

<h3>Perpendicular lines</h3>

The slopes of perpendicular lines have product of -1:

  \dfrac{x}{2x+3}\cdot\dfrac{2+3x}{6-x}=-1\\\\x(3x+2)=(2x+3)(x-6)\qquad\text{multiply by $(2x+3)(6-x)$}\\\\3x^2+2x=2x^2-9x-18\qquad\text{eliminate parentheses}\\\\x^2+11x+18=0\qquad\text{put in standard form}\\\\(x+2)(x+9)=0\qquad\text{factor}

<h3>Solutions</h3>

The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.

4 0
1 year ago
Q1 - Multiplying one equation
lara [203]

Answer:

p = 4

q = 6

s = 5

t = 4

a = 6

b = 7

m = 5

n = 6

7 0
3 years ago
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