Answer:
Step-by-step explanation:
A. (x, y) is not an equation.
B. 2 + 7 = 9 Not a linear equation, as there is no variable.
C. 3x + 5 = 20 This is a linear equation.
D. y = 2x + 1 This is a linear equation.
Smaller number=x
larger number=2x+4
x+2x+4=70
3x+4=70
3x=66
x=22
Smaller number=22
Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
Account B shows the greater percentage change
Step-by-step explanation:
Part A: Percent change from exponential formula
f(x) = 9628(0.92)ˣ
The general formula for an exponential function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay function.
ƒ(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an exponential decay function as:
y = a(1 – b)ˣ, where
1 – b = the decay factor
b = the percent change in decimal form
If we compare the two formulas, we find
0.92 = 1 - b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.
Account B recorded a greater percentage change in the amount of money over the previous year.
Answer:
120 students students could be expected to not be wearing a jacket
Step-by-step explanation:
Based on this, we can work with the assumption that 3/5 of the students that entered the stadium were wearing jackets.
Given that the total population of students that attended the game is 300
This means that 3/5 of the 300 = 180 students.
180 students were estimated to be wearing jackets.
The number of students that were without jackets is 300 - 180 = 120 students
11/2x=2
2/11(11/2)x=2(2/11)
x=4/11