to find a slope you subtract the y value of the 2nd point from the y value of the 1st point then you devide that by the difference of the x value of the 2nd point subtracted from the x value of the 1st point. so 5-3 devided by -3-4, 5-3=2, -3-4=-7. so m = 2/-7 is your slope. the slope is usually represented with the letter m.
Answer:
Step-by-step explanation:
Evaluate 6(5-(6-5)-3) = 6(5-1-3) {first solve innermost bracket}
= 6* (5-4) = 6*1 =6
The true statements is the population was 4800 when the collection of data began. (3rd option)
<h3>What is an
exponential function?</h3>
An exponential equation can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential equation is f(x) = 
Where:
- x = the variable
- e = constant
When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.
The exponential equation used to represent an exponential growth usually have this form:
FV = PV (1 + r)^n
Where:
- FV = future population
- PV = present population
- r = rate of growth
- n = number of years
Given this exponential equation : f(x) = 4800 (1.02)^t
- 4800 = initial population or population when the data collection began
- 2 % = rate of growth
- t = number of years
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The y-intercept of the linear function y = 3x - 2 is -2
<h3>How to determine the y-intercept?</h3>
The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
Read more about y-intercept at:
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