Let f(x)=5x+2 and gx=x^2-4x+1

rac{f}{g}(5)" alt="\frac{f}{g}(5)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Rasek [7]2 years ago

3 0

Answer:

find f(5) and g(5) then divide f(5) by g(5) i.e f(5)/g(5) Answer will be 25/6

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Critical points of x+5/x+2>0

Scorpion4ik [409]

Answer:

{-5, -2}

Step-by-step explanation:

In a case like this please use parentheses to remove ambiguities. If I were to take your "x+5/x+2" literally, I'd have to write x plus 5/x plus 2.

I suspect that you actually meant (x + 5) / (x + 2), and will start with that.

First of all, this function is not defined at x = -5 or at x = -2. Thus, -5 and -2 are critical points.

Secondly, there may be one or more critical points beyond this. To find out, we have to differentiate (x+5)/(x+2):

(x + 2)(1) - (x + 5)(1)

f '(x) = ------------------------------

(x + 2)

Here it's clear that x cannot = -2, which would cause division by zero.

Thus, our critical values are {-5, -2}.

8 0

3 years ago

Andrew's mother reasoned that Chris probably took out a 30-year mortgage. Thirty years is a popular mortgage length because paym

melisa1 [442]

They would have increased because the 20% is bigger than the 5% and 5%=monthly housing expenses raising slow. 20%=monthly housing expenses raising higher.

6 0

2 years ago

Read 2 more answers

A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degree

mash [69]

We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft