The graph shows the functions f(x), p(x), and g(x): graph of function g of x is y is equal to 2 multiplied by 0.85 to the power of x. the straight line f of x joins ordered pairs minus 7, 3 and minus 3, minus 2 and is extended on both sides. the straight line p of x joins the ordered pairs 4, 1 and minus 3, minus 2 and is extended on both sides. part a: what is the solution to the pair of equations represented by p(x) and f(x)? (3 points) part b: write any two solutions for f(x). (3 points) part c: what is the solution to the equation p(x) = g(x)? justify your answer. (4 points)

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. consider the given table.

The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 substitute the value of y in the first equation: combine like terms: apply the subtraction property of equality: apply the division property of equality: 3x + (–4x + 10) = 9 –x + 10 = 9 –x = –1 x = 1 what is the value of y?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.