Answer:
slope = - 
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 3, 4 )
m = 
= 
= -
Answer:
Option D y=-3x^2 +4
Step-by-step explanation:
This is the correct answer because the graph is going down which shows that it is negative and the y intersect is +4
Answer:
Step-by-step explanation:
The average scores s (on a 100 point scale) for the students can be modeled by
s = 75 - 6 In(t + 1), 0 < t < 12
where t is the time in months.
a) Since the students were given an exam and then retested monthly with equivalent exams, then,
For the original exam, t = 0
Therefore,
s = 75 - 6 In(0 + 1) = 75 - 6 In1
s = 75 - 6 × 0 = 75
b) the average score after 4 months, t = 4
Therefore,
s = 75 - 6 In(4 + 1) = 75 - 6 In5
s = 75 - 9.66 = 65.34
c) s = 60
Therefore,
60 = 75 - 6 In(t + 1)
6 In(t + 1) = 75 - 60 = 15
In(t + 1) = 15/6 = 2.5
t + 1 = e^2.5 = 12.18
t = 12.18 - 1 = 11.18
t = 11 approximately
Answer:
x=86.2
Step-by-step explanation:
-4=5X-435
-4+435=5x
431=5x
431/5=x
86.2=x
{ y=-8x
{ y=-4-10x
Substitution Method:
-8x=-4-10x
x=-2
y=-8(-2)
y=16
(x,y) = (-2,16)
Check solution
{ 16=-8(-2)
{ 16=-4-10(-2)
{ 16=16
{ 16=16
Elimination Method:
{ 8x+y=0
{ 10x-y=-4
{ 8x+y=0
{ -10x-y=4
-2x=4
x=-2
8(-2)+y=0
y=16
(x,y) = (-2,16)
*For checking, its the same with the substitution method
