A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:
g(x) = 3x²+3x
B.) Substitute x=4 to the two functions.
f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837
g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60
C.) The percentage error is equal to:
Percentage error = |g(4) - f(4)|/f(4) * 100
Percentage error = |60 - 59.023837|/59.023837 * 100
Percentage error = 1.65%
D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
Multiple both sides by 5/1 and get
-1/1 • (x-4) = -10/1
divide the numbers and get
-1 • (x-4) = -10
remove the parentheses
- x-4 = 10
move the constant to the right
-x = -10-4
calculate
-x = -14
change the signs
x= 14
Answer:
Step-by-step explanation:
The standard form for the equation of the line is
Recall that:
Therefore the equation of the line is:
Answer:
0.7
Step-by-step explanation:
If we're rounding to one decimal place, we need to round up since it's 0.65.
Answer:
90
Step-by-step explanation:
g(-10) = (-10)²+(-10)
= 100-10 = 90
