Answer:
Step-by-step explanation:
use uv rule= uv'+vu'
u=3x+7
u'=3+0=3
v=8x-5
v'=8-0=8
uv= (3x+7)(8)+(8x-5)(3)
=24x+56+24x-15
=48x+41
a) The tangent to
at
has slope

and
at this point. It passes through the origin, so its equation is

It also passes through the point
on the curve, so

By substitution,

b) The normal to
at
has slope

It follows that

c) The tangent line equation is then

Answer: The answer is $40 per ticket.
Step-by-step explanation: Divide 120 by 3 to get 40. Hope this helps!
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.
<h3>What is a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but the line with finite length and having fixed endpoints.
The geometric term(s) modeled by each object
9. Stop sign ⇒ Hexagon
10. Tip of pin ⇒ Point
11. Strings of a violin ⇒ Line
12. A car antenna ⇒ Line
13. A library card ⇒ Plane
Hence, The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.
Learn more about Line here:
brainly.com/question/21511618
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Answer:
G(62.5)
Step-by-step explanation:
30/48 × x/100=62.5/2.08
to solve x
100÷48=62.5(x)
62.5(x)×30=62.5
Answer is F