Question 13 (1 point),
which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?
o
o
8, 18, 28, 38,
10, 8, 6, 4,
-2,8, 18, 28,
-10.-12, -14, -16, -
b
c
d
o
o
o
question 14 (1 point)
the force of gravity on an object varies directly with its mass. the constant of variation due to gravity is 32.2 feet p
which equation represents f, the force on an object due to gravity according to m, the object's mass?
a)
t = 16 17

13: Since f(1)=10, the sequence must start with 10. We have only one sequence starting with 10, and indeed it verifies f(n+1)=f(n)-2, i.e. the next term is 2 less than the previous one.

14: If y varies directly with x, then there is a constant of variation k such that

In your case, F varies directly with m, with a constant of variation of 32.2, so we have

idk

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3