F(-1)= -3 is (-1,-3) and f(2) = 6 is (2,6) where f(x) = y
y=mx + b is the slope-intercept form whereas m equals the slope (rate of change) and b equals the y-intercept (initial amount/what y is when x is 0.)
First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas

.
1. (-1,-3)
2. (2,6)

→

→

The slope is 3 (

). Thusly, y = 3x + b
To find out the y-intercept, we can reverse the slope. [Note: This

is in

where rise is 'y' and run is 'x'. Reversed would be

]. Take the second ordered pair and use our reversed slope on it until we get 0 for x.
(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)
Y-intercept is 0. Therefore,
y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]
Answer:
x=3/2
Step-by-step explanation:
There isn't any choices given in this problem but I can give you a tip to answer these kinds of problem. When you say independent, it means that the equation cannot be algebraically altered to result to 3x + 4y = 8. So the equation 6x + 8y = 16 is not an independent equation since when you divide each side by 2 it will result to 3x + 4y =8. You get the idea. <span />
Answer:
11%
Step-by-step explanation:
The full circle graph represents 100% of the given population. All populations are given except for "three or more." Adding all percentages of each population should add up to 100%.
No absences (none): 23%
One absence: 45%
Two absences: 21%
Three more absences: unknown.
Let the variable x represent the unknown population.
23% + 45% + 21% + x = 100%
Combine like terms.
89% + x = 100%
Subtract 89% from both sides.
x = 11%
To put it more simply, subtract all the percentages from 100% to get the percent of the missing population. 100 - 23 - 45 - 21 = 11
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
To learn more about exponential functions, please check: brainly.com/question/26331578
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