Two functions are represented in different ways. function 1: y = 32x + 45 function 2: xy 0 65 1 85 2 105 3 125 which statements are true? select each correct answer. a function 1 has a greater rate of change than function 2. b function 2 has a greater rate of change than function 1. c function 1 has a greater y-intercept than function 2. d function 2 has a greater y-intercept than function 1.

The answers are

Function 1 has a greater rate of change than function 2.

Function 2 has a greater y-intercept than function 1.

Step-by-step explanation:

Function 1: y = 32x + 45  

rate of change = 32

y-intercept = 45 when x = 0

Function 2: xy 065 185 2105 3125  

rate of change = (85-65)/(1-0) = 20

y-intercept = 65 when x = 0

Therefore the answers are

Function 1 has a greater rate of change than function 2.

Function 2 has a greater y-intercept than function 1.

Hope this helped.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

the correct answer is c