Answer:
(f + g)(x) = 3x² + (7/3)x - 8
Step-by-step explanation:
To find (f + g)(x), you need to add both the f(x) and g(x) equations together.
f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2
g(x) = 3x² + 2x - 6
(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6) <----- Add both equations
(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6 <----- Rearrange (2 = 6/3)
(f + g)(x) = 3x² + (7/3)x - 8 <----- Simplify similar terms
Answer:
y = 2x + 2
Step-by-step explanation:
Notice that this line passes thru (-4, -6) and (2, 6). As we move from (-4, -6) and (2, 6), x increases by 6 and y increases by 12. Thus, the slope is
m = rise / run = 12/6 = 2.
From the graph we can see that the y-intercept is (0,2). Thus, the slope-intercept equation of this line is:
y = 2x + 2
The explicit formula for this arithmetic sequence is A(n)=1/2•(-8)^(n-1)
The equation of line that passes through the points (-3,-1) and
(-6,3) is:

Step-by-step explanation:
Given points are:
(-3,-1) =(x1,y1)
(-6,3)=(x2,y2)
The slope-intercept form of equation of line is:

We have to find the slope first
Putting the value of slope in the slope intercept form

To find the value of b, putting the point (-3,-1) in the equation

Putting the values of b and m

The equation of line that passes through the points (-3,-1) and
(-6,3) is:

Keywords: Equation of line, slope intercept form
Learn more about equation of line at:
#LearnwithBrainly
Answer:
10x-6+y
Step-by-step explanation:
remove parentheses then collect like terms,hope this helped:)