1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Travka [436]
3 years ago
8

For the function, f(x)=(9x+7)/(2x+4)

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0
A. f(x)=\frac{9x+7}{2x+4}\\f'(x)=\frac{(9)(2x+4)-(9x+7)(2)}{(2x+4)^2}\\f'(x)=\frac{(18x+36)-(18x+14)}{(2x+4)(2x+4)}\\f'(x)=\frac{22}{4x^2+16x+16}\\f'(x)=\frac{11}{2x^2+8x+8}\\\frac{11}{(2x+4)(x+2)}=0\\\frac{1}{(2x+4)(x+2)}=0\\x=-\infty,\infty - There are no critical points because the graph is neither continuous nor smooth. There is a discontinuity at x = 2.

B. \frac{1}{(2x+4)(x+2)}=0\\x=-\infty,\infty - The absolute maximum is f(lim⇒-2_-) = infinity. The absolute minimum is f(lim⇒-2_+) = -infinity. This applies to the interval [-10, 7].

C. f(x)=\frac{9x+7}{2x+4}\\f(0)=\frac{9(0)+7}{2(0)+4}\\f(0)=\frac{7}{4}\\f(0)=1.75\\f(5)=\frac{9(5)+7}{2(5)+4}\\f(5)=\frac{45+7}{10+4}\\f(5)=\frac{52}{14}\\f(5)=\frac{26}{7}\\f(5)=3.714 - The absolute maximum is f(5) = 26/7 or 3.714. The absolute mimimum is f(0) = 1.75. This applies to the interval [0, 5]. Proof: graph f(x) at [0, 5] on a graph or graphing calculator.
You might be interested in
The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three
Lady bird [3.3K]
They’ve already earned $105 so they need $45 more to reach their goal
4 0
3 years ago
What is the equivalent to 2 to the 4th power
Paladinen [302]

Answer:

4 to the 2nd power is the equivalent to 2 to the 4th power

Step-by-step explanation:

2⁴ = 16 = 4²

5 0
3 years ago
Read 2 more answers
Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
denpristay [2]

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

8 0
3 years ago
Read 2 more answers
Is the sum even or odd? 6+7
valentina_108 [34]
Odd.................................

4 0
3 years ago
Bre makes $5 per week. Bre is saving up for $100. How many weeks would it take for Bre to make the $100?
LekaFEV [45]

Answer:

The answer would be 20 weeks

Step-by-step explanation:

Because, if she makes $5 per week you would just divide 100 by 5 and get 20 and to check you would multiply your answer to see if it equals the amount he/she would want to amount to. Hope this helps! Happy learning!

5 0
3 years ago
Other questions:
  • Ms. Johnson asked her class to write an equivalent expression to
    12·1 answer
  • Assume that y varies directly as x.
    7·2 answers
  • Solve the equation P=4s for s
    8·2 answers
  • Jeremy cleans his house in 2 1/2 hours.hunter cleans his house in 3 1/4 hours.how much longer does it take for Jeremy to clean h
    15·2 answers
  • W= x/y-x solve for x
    14·1 answer
  • A recipe calls for 3 1/2 cups of milk and makes 10 servings. How many cups of milk are needed for 8 servings? (Hint: Set up a pr
    14·1 answer
  • (02.05 LC) Solve the inequality 6x − 8 > 4x + 26. (5 points) Group of answer choices x 9 x > 17
    12·1 answer
  • 40$ 8% markup plz its for a good cause
    5·1 answer
  • What is the scale factor from Figure A to Figure B?
    10·1 answer
  • What is (-2,6) and ( 5,13) in slope
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!