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.
Answer:
a
a
a
a
bbbb
Step-by-step explanation:
A circle is 360 degrees so 360 divided by 20=18 so 20 degrees is one 18th of a circle
Answer:
x = 21
Step-by-step explanation:
<u>Step 1: Make an expression</u>
Since they are supplements, that means that they add up to 180 degrees.
3x + 6 + 5x + 6 = 180
<u>Step 2: Combine like terms</u>
3x + 6 + 5x + 6 = 180
(3x + 5x) + (6 + 6) = 180
8x + 12 = 180
<u>Step 3: Subtract 12 from both sides</u>
8x + 12 - 12 = 180 - 12
8x = 168
<u>Step 4: Divide both sides by 8</u>
8x / 8 = 168 / 8
x = 21
Answer: x = 21