Answer:
a) for all values of x that are in the domains of f and g.
b) for all values of x that are in the domains of f and g.
c) for all values of x that are in the domains of f and g with g(x)≠0
Step-by-step explanation:
a) By definition (f+g)(x)=f(x)+g(x). Then x must be in the domain of f and g.
b) By definition (fg)(x)=f(x)g(x). Then x must be in the domain of f and g.
c) By definition (f/g)(x)=f(x)/g(x). Then x must be in the domain of f and g and g(x) must be different of 0.
When a polygon is regular, that means that all of its sides are the same length and all of its angles are the same. A heptagon has seven sides and you know that all of them measure 3 inches. You can find the perimeter by adding all of the side measures together, so 3 + 3 + 3 + 3 + 3 + 3 + 3, or 3 x 7. So, the perimeter of the heptagon is 21 inches.
Answer:
D. Open the compass so that the distance from the two points of the compass is wider than half the length of
.
Step-by-step explanation:
To construct a perpendicular for
, we must first take a compass & take the distance of its arms wider than half the length of
.
This is done in order to get two intersecting arcs in the top & bottom of
so that a perpendicular bisector can be drawn through it.
After two intersecting lines are drawn below & above
, draw a line joining these 2 points through their points of intersection. The point where it intersects
is the middle-most point of
& now a perpendicular bisector of
is constructed.

The inequality that represents the graph in the box is

Given :
The graph of the linear inequality
Lets pick two points from the graph to frame the linear equation
Slope intercept form of the equation is

Where m is the slope and b is the y intercept
y intercept is (0,6) from the graph
so b=6
Now we find out slope m using formula
Pick two points (0,6) and (2,0)

m=-3
So the equation is 
Now we check the inequality sign by testing any point on shaded area
lets pick (4,0)
lets plug in 4 for x and 0 for y

The inequality for the given graph is

we cannot use >= sign because we have dotted lines
Learn more : brainly.com/question/17203372
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Step-by-step explanation:
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