For the points P and Q, find the distance d(P, Q). P(5, -3), Q(9, -2) -17 123 Si

Question

For the points P and Q, find the distance d(P, Q).

P(5, -3), Q(9, -2)

-17

123

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Question 2

5 points

For the points P and Q, find the coordinates of the midpoint of the segment PQ.

P(-1, 8), Q(-3, 5)

(-4, 13)

(2, 3)

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Question 3

5 points

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.

midpoint , endpoint (p, q)

(d, w)

(d, -w)

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Question 4

5 points

Graph the equation by determining the missing values needed to plot the ordered pairs.

y - x = -1; (4, ), ( , 6), (3, )

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Question 5

5 points

Provide an appropriate response.

If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b)?

IV

III

II

I

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Question 6

5 points

Write an equation for the line described. Give your answer in standard form.

through (0, 2), m =

5x + 6y = -12

5x - 6y = 12

5x - 6y = -12

6x - 5y = -12

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Question 7

5 points

Write an equation for the line described. Give your answer in slope-intercept form.

m = , through (-9, 7)

y = x +

y = x + 13

y = x - 13

y = - x - 13

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Question 8

5 points

Evaluate.

Find (f - g)(1) when f(x) = 3x2 + 3 and g(x) = x + 6.

1

-1

11

-7

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Question 9

5 points

For the pair of functions, find the indicated sum, difference, product, or quotient.

f(x) = x2 + 1, g(x) = 8x + 5

Find (fg)(x).

8x3 + 5x2 + 8x + 5

8x2 + 8x + 5

8x3 + 8x2 + 5x + 5

8x3 + 5

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Question 10

5 points

Evaluate.

Find (f + g)(-1) when f(x) = x + 3 and g(x) = x + 6.

-11

-5

1

7

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Question 11

5 points

Evaluate.

Find (-3) when f(x) = 2x - 2 and g(x) = 2x2 + 14x + 5.

-

-

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Question 12

5 points

Evaluate.

Find (fg)(-4) when f(x) = x - 1 and g(x) = 5x2 + 19x - 3.

315

-3

-5

-231

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Question 13

5 points

For the pair of functions, find the indicated sum, difference, product, or quotient.

f(x) = 3x - 3, g(x) = 5x - 9

Find (f - g)(x).

-2x - 12

2x - 6

8x - 12

-2x + 6

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Question 14

5 points

For the pair of functions, find the indicated sum, difference, product, or quotient.

f(x) = 6 - 3x, g(x) = -8x2 + 3

Find (f + g)(x).

-11x + 9

-8x2 + 6

-11x2 - 3x + 9

-8x2 - 3x + 9

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Question 15

5 points

Compute and simplify the difference quotient , h 0.

f(x) = 4x - 9

4

-9h

9

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Question 16

5 points

Compute and simplify the difference quotient , h 0.

f(x) =

-

-

-

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Question 17

5 points

Find the requested function value.

Find (f g)(-6) when f(x) = 9x + 2 and g(x) = -9x2 - 2x + 1.

573

-2797

-24,231

605

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Question 18

5 points

Find the requested function value.

Find (g f)(10) when f(x) = and g(x) = 2x + 3.

15

69

9

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Question 19

5 points

Find the requested value.

Using the given tables, find (fg) (3)

14

3

10

5

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Question 20

5 points

For the given functions f and g , find the indicated composition.

f(x) = 3x + 14, g(x) = 2x - 1

(fg)(x)

6x + 17

6x + 11

6x + 27

6x + 13

-17

123

Explanation / Answer

1) P = ( 5 , -3 )

Q = ( 9 , -2 )

distance = sqrt { ( 5 - 9)^2 + ( -3 +2 )^2 }

distance = sqrt 17

2) P = ( -1, 8 )

Q = (-3 , 5 )

mid point = ( -1 -3 )/2 , ( 8 + 5 ) /2

mid point = ( - 2 , 13/2 )

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