Answer:
f(x) = 3(0.2)^x
Step-by-step explanation:
The leading coefficient is 3 as x = 0 gives f(x) = 3.
When x = 1, f(x) = 0.6. so try :
0.6 =3(1.2)^1 = 3.6 so it's not the fiirst choice.
0.6 = 3(0.2)^1 = 0.6 so its last choice.
Check when x = -1:
3(0.2)^-1
= 3/ 0.2
= 15
Answer:
- 61x - 67
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = - 9x - 2 - (- 5x + 3)
= - 9x - 2 + 5x - 3
= - 4x - 5 and a₁ = - 5x + 3, thus
= - 5x + 3 + 14(- 4x - 5) = - 5x + 3 - 56x - 70 = - 61x - 67
Answer:
A variable which can can be represented in numbers is known to be a quantitative variable.
Step-by-step explanation:
A variable is described as a characteristic of an object. Their values may occur more than once for a set of data.
A variable that can be represented in numbers is known to be a quantitative variable. Arithmetic operations can also be performed on these variables i.e. after performing arithmetic operations such as addition, subtraction, multiplication or division, some numbers can still be obtained as the result.
Quantitative variables can also be compared with each other to obtain meaningful results. Quantitative variables are of two types – discrete and continuous.
Discrete variables have whole numbers as their values whereas continuous variables can even have values in between the whole numbers.
Examples of quantitative variables are height, weight, time in the 100-yard dash, the number of items sold to a shopper.
Answer:
0.98
Step-by-step explanation:
Explanation
The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.
In this case the first term = 10000
The second term = 98% × 10000 = 9800.
The common ratio = 9800/10000=49/50
The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.
The equation of the exponential rate would be;
10,000ₓ0.98ⁿ.
where n is the number years.
