The function f(x) is:
f(x)=x
This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.
The function p(x) is:
p(x)=mx+C
Whereby (m) is the slope and (C) is a constant.
m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.
Now when y=-3, x=-3.
So:
-3=-4/3 *(-3) +C
-3= 4 + C
C=-7
This means that:
p(x)=-4/3x -7
Now, where p(x)=g(x), x=-6.
p(-6)=-4/3 * (-6) -7
p(-6)=24/3 -7
p(-6)=8-7
p(-6)=1
Therefore:
p(x) and g(x) meet at (-6, 1) and the solution to p(x)=g(x) is x=-6.
The missing term of the sequence is 41
The graph is a straight line graph with a slope of -1/2
Equation of a line in point-slope form
The equation of a line in point slope form is expressed as:
y - y₁ = m(x - x₁)
Given the following parameters
Point = (-2, 3)
Slope = -1/2
Substitute the given parameters into the formula
y-3 = -1/2(x-(-2))
y-3 = -1/2(x+2)
Write in slope-intercept form
2(y-3) = -(x+2)
2y-2(3) = -x -2
2y - 6 = -x -2
2y = -x + 4
y = -1/2x + 2
The graph of the equation is as shown below
Learn more on equation of a line here: brainly.com/question/18831322
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Answer: B
Step-by-step explanation: its B
Answer:

Step-by-step explanation:
<h3>Exponent rule:</h3>
In exponent multiplication, if bases are same, add the exponents.


