A function y = 3x² - 2 which is nonlinear function. the correct option is D.
In mathematics, linear refer to a proportional behaviour that can be modelled with a line, the functions that model this behaviour are called linear functions, and their graphs are lines.
Thus linear expression refers to an expression which has variables with an exponent equal to 1,
we know that Linear functions are in the form of y = mx + c and have a constant slope.
Noted that, the linear functions are polynomials with highest exponent equal to 1 and all others are non linear.
Here, answer is D) y = 3x² - 2, because the x is squared, making the function a quadratic function.
Learn more about the function:
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2x + y = 8
y = -x+ 5
O A. (4,1)
O B. (3, 2)
O C. (5,0)
O D. (2,3)
B clearly because u would substitute the x and y with the ordered pairs
12-3 =3x
turn back, and it returned to Atlanta with a tail wind of 10 miles per hour, landing 2.3 hours after it had taken off.
Complete parts a through b.
a. How far had the plane traveled before turning back?
The plane had traveled
(1)
before turning back.
(Type an integer or decimal rounded to two decimal places as needed.)
b. What was the plane's average speed?
The plane's average speed was
(2) -
(Type an integer or decimal rounded to two decimal places as needed.)
(1)
(2)
O miles
miles per hour
O hours
miles per hour
hours
miles.
Answer: The plane had traveled about 264 miles before turning back. The average speed was 230 mph
Step-by-step explanation: 230 - 10 = 220 speed outgoing
230+10 = 240 speed returning
Average speed (220+240)÷2= 460/2 =230 mph (needless to calculate!) Multiplied by total time 2.3 hours = 529 miles total distance.
Traveling the entire distance at 220mph would take about 2.4 hours. Traveling the entire distance at 240mph would take about 2.2 hours, a difference of .20 hours. Cut those times in half:
Traveling at 220mph for 1.2 hours would cover about 264 miles.
Traveling at 240mph for 1.1 hours would cover about 264 miles.
It adds up to 528 miles. The plane can't turn instantly, so figure the turn took the missing mile!
In this question, you're solving for b.
Solve for b:
2b + 8 -5b + 3 = -13 - 8b - 5
Combine like terms:
-3b + 8 + 3 = -13 - 8b - 5
-3b + 11 = -13 - 8b - 5
-3b + 11 = -8b -18
Add 8b to both sides
5b + 11 = -18
Subtract 11 from both sides
5b = -29
Divide both sides by 5
b = -29/5
Answer:
Step-by-step explanation:
2b + 8 - 5b + 3 = -13 - 8b - 5....combine like terms
-3b + 11 = -18 - 8b ...add 8b to both sides
8b - 3b + 11 = -18...subtract 11 from both sides
8b - 3b = -18 - 11 ....combine like terms
5b = - 29...divide both sides by 5
b = -29/5 or - 5 4/5