Step-by-step explanation:
f(x) = 3x + 2
g(x) = 4x
= f(x) + g(x)
= 3x + 2 + 4x
= (3 + 4)x + 2
= 7x + 2
(f+g)(x) = 7x + 2
Answer:
see below
Step-by-step explanation:
The function f(x) is the absolute value function scaled vertically and shifted up. Neither of those transformations affects the interval on which it is increasing. The absolute value function increases for x > 0. (It is neither increasing nor decreasing at x=0.)
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The function g(x) is a parabola that opens downward. Consequently, it is increasing for all values of x to the left of its vertex (or line of symmetry). That line of symmetry can be found as ...
x = -b/(2a) = -(8)/(2·(-1)) = 4
So g(x) is increasing from -∞ to 4, but at x=4 is neither increasing nor decreasing.
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Then the interval on which both functions are increasing is ...
{x > 0} ∩ {x < 4} = {0 < x < 4}
This will be graphed as a line between 0 and 4 with open circles at each end.
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The second attachment shows the two functions so you can see where their slopes are positive.
Draw arcs on either side of a given point on the line
To construct a line perpendicular to another line through a point on the line:
Measure a length from that point to one edge of the line
Draw two intersecting arcs on either sides of the line
Draw a straight line from the intersecting point of the arcs to the point on the existing line.
The new line drawn is a perpendicular line.
The only step necessary out of the given choices is "Draw arcs on either side of a given point on the line"
Option C is the correct choice
Learn more here: brainly.com/question/929137
Answer:
72773100000%
Step-by-step explanation:
"Percent" means "per 100" or "over 100". So, to convert 727731000 to percent we rewrite 727731000 in terms of "per 100" or over 100.
Multiply 727731000 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
7277310001×100100=72773100000100
72773100000/100 is 72773100000 over 100 and means 72773100000 per 100. 72773100000 "per 100" means 72773100000 "percent" or 72773100000%
Therefore, we have shown that
727731000 = 72773100000%
Simplified Conversion:
Multiply by 100 and add the percent sign %
727731000 × 100 becomes 72773100000%
Shortcut Conversion:
Move the decimal point 2 places to the right and add the percent sign %
727731000 becomes 72773100000%
No, the 2 lines can never ever be both parallel and perpendicular if I'm not mistaken. This is because a set of parallel lines will never touch each other at all. However perpendicular lines are two lines that meet up to get an angle of 90. You cannot have two lines that never touch and touch at the same time.
