URGENT! WILL MARK BRAIN!
2 answers:
As you might've noticed, there is a PATTERN in the number of termites. That pattern is the no. of termites MULTIPLIED BY 4. Let me prove this:
The 1st term in the no. of termites is 70, the 2nd is 280. 70 MULTIPLIED BY 4 IS 280, ISN'T IT? Now let's look at the 2nd term in the no. of termites is 280 and the 3rd term is 1,120. 280×4= 1,120 isn't it?
Therefore after 1 year the no. of termites is 1, 174,405, 120.
The 1st term in the no. of termites is 70, the 2nd is 280. 70 MULTIPLIED BY 4 IS 280, ISN'T IT? Now let's look at the 2nd term in the no. of termites is 280 and the 3rd term is 1,120. 280×4= 1,120 isn't it?
Therefore after 1 year the no. of termites is 1, 174,405, 120.
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Answer:
Step-by-step explanation:
a). For function 'f',
Slope of a linear function passing through two points and
is given by,
Slope =
For the function 'f' given in the table,
Slope of the linear function passing through two points (-1, -5) and (0, -1) given in the table,
Slope =
= 4
Equation of the line passing through a point (0, -1) and slope = 4 will be,
y - y' = m(x - x')
y + 1 = 4(x - 0)
y = 4x - 1
f(x) = 4x - 1
For function 'g',
Equation of the function 'g' has been given as,
g(x) = 4x + 3
By comparing this equation with the slope-intercept equation of a line,
y = mx + b
Therefore, slope of the function 'g' is,
m = 4
Since slopes of both the functions are same, linear graphs of both the functions will be parallel.
b). Equation of the function 'f' is,
f(x) = 4x - 1
y-intercept of the function = -1
Equation of function 'g',
g(x) = 4x + 3
y-intercept = 3
Therefore, function 'g' will have the greater y-intercept.