Answer:

Step-by-step explanation:
Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
The equations y=55x+50 and y=65x represents Rick's and Betty's trip.
Step-by-step explanation:
Given,
Head start of Rick = 50 miles
Speed of Rick = 55 mph
Let,
x be the number of hours
y be the total miles
Distance covered by Rick in x hours = Speed * Time + Head start
y = 55x + 50
Speed of Betty = 65 mph
Total miles = Speed*Time
y=65x
The equations y=55x+50 and y=65x represents Rick's and Betty's trip.
Keywords: variable, addition
Learn more about variables at:
#LearnwithBrainly
3,-4 is the correct anwser
In this question we already know the value of 'b' so put the value b=2 in the equation
=|4(2)-8| + |-1-(2)^2| + 2(2)^3
=|8-8| + |-1-4| + 2(8)
=0 -5 +16
=11