Simplify the sum 4/m+9 + 5/m2 - 81

Answers

Answer 1

Answer: factor
m^2-81=(m-9)(m+9)
multiply other equation by (m-9)/(m-9)

4(m-9)/(m^2-81)+5/(m^2-81)
(4(m-9)+5)/(m^2-81)
(4m-36+5)/(m^2-81)
(4m-31)/(m^2-81)

Answer 2

Answer: The answer to the question is 4m-31/(m-9)(m+9)

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Find the slope of the line passing through the points (2,5) and (8,-4).

Answers

Answer:

-9/6

Step-by-step explanation:

y2-y1 , x2-x1

Tricia manages the front office at a local doctor’s office and needs to figure out payroll for the front office clerk that is paid hourly. Tricia also hasto make sure that she keeps the front office clerk under 40 hours a week to avoid overtime pay. After reading the problem, what are you being asked to do? What information are you provided? What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below. What are the steps to solve the problem? What is the answer to the question? Does your answer make sense? Why?
The front office clerks time sheet reads as follows: Monday 480 minutes Monday 480 minutes Tuesday 450 minutes Tuesday 480 minutes Wednesday 495 minutes Wednesday 480 minutes Thursday 480 minutes Thursday 480 minutes Friday 300 minutes Friday 480 minutes
Does Tricia need to pay the front desk office clerk overtime?

After reading the problem, what are you being asked to do?

What information are you provided?

What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below

What are the steps to solve the problem?

What is the answer to the question?

Does your answer make sense? Why?

Answers

The data about the number of minutes per day is so confusing. I'll just answer it based on what I understood from the data provided:

Monday: 480 minutes
Tuesday: 450 minutes
Wednesday: 495 minutes
Thursday: 480 minutes
Friday: 300 minutes

We need to add up all the minutes worked for the week:
480 + 450 + 495 + 480 + 300 = 2,205 minutes

2,205 minutes / 60 minutes = 36.75 hours

36.75 hours is less than the maximum number of hours worked in a week which is 40 hours.

36.75 hours translates to 36 hours and 45 minutes of work for the week.

Help please show steps please I don't know what to do so I want to learn not just get the answer

Answers

The answer is -6 I put the work under here

3.) Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Check all that apply.The vertex form of the function is f(x) = (x – 2)2 + 2.
The vertex of the function is (–3, –13).
The axis of symmetry for the function is x = 3.
The graph increases over the interval (–3, infinity symbol).
The function does not cross the x-axis.

Answers

Find the vertex of the parabola given by the formula $f(x) = 6x - 4 + x^2$ :

$f(x) = 6x - 4 + x^2=x^2+2\cdot x\cdot 3-4=x^2+2\cdot x\cdot 3+3^2-3^2-4=(x+3)^2-9-4=(x+3)^2-13.$

1. As you can see this vertex form differ from the vertex form in option A, then A is incorrect.

2. When x=-3, f(-3)=-13 and the vertex has coordinates (-3,-13) - option B is true.

3. From the attached graph you can see that the axe of symmetry is line x=-3 that passes through the vertex. This means that choice C is incorrect.

4. From the attached graph you can see that the function is increasing for x>-3 and decreasing for x<-3. Option D is correct.

5. The graph intersects x-axis at two points (see attached diagram). Option E is incorrect.

It is clear from the information given that Both Options B and Option D are correct. While options A and C are incorrect.

What is the Graph of a Function?

The set of all points in the plane of the form (x, f(x)) is known as the graph of a function f(x).

In order words, it is the collection of all ordered pairs of the function. Examples of real-life applications of GraphFunctions are:

Recommendation Engines
Path Optimization Algorithms
Social Graphs
Knowledge Graphs
Scientific Computations

Learn more about the Graph of a Function at:

brainly.com/question/24335034

If 5x+6=10, what is the value of 10x+3?

A) 4
B) 9
C) 11
D) 20

Answers

Answer: 11 (Option C)

Step by step explanation:

If 5x+6=10

value of 10x+3 = ?

Step 1 : solve the first equation to find the value of x

5x + 6 = 10

5x = 10 – 6

5x = 4

X = 4/5

Step 2 : Susbitute the value of x in the second equation

10x + 3 = ?

10 ( 4/5) + 3

= 40 / 5 + 3

= 40 + 15 /5 (Taking L.C.M)

= 55 / 5

= 11

I think that the answer is C.11

–3(t − 17) = 6 whats the answer

Answers

Answer:

t = 15

–3(t − 17) = 6

Step-by-step explanation:

1. Distribute the –3 to the terms inside the parentheses:

–3 * t + 3 * 17 = 6

2. Simplify:

–3t + 51 = 6

3. Next, we want to isolate the variable t by getting rid of the constant term. To do this, we can subtract 51 from both sides of the equation:

–3t + 51 - 51 = 6 - 51

This simplifies to:

–3t = -45

4. Now, to solve for t, we need to isolate the variable. Since –3t means –3 times t, we can divide both sides of the equation by –3:

–3t / –3 = -45 / –3

This simplifies to:

t = 15

So, the solution to the equation –3(t − 17) = 6 is t = 15.

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The cost, in dollars, of parking a car in a busy downtown area for h hours is $10 + $3h.Which statement is correct?A. For every hour the car is parked, the cost increases by $10.B. For every hour the car is parked, the cost increases by $7.C. For every hour the car is parked, the cost increases by $13.D. For every hour the car is parked, the cost increases by $3.

What is the solution to this problem? 5x-3y=6 and 2x-5y=10

A box contains five red marbles, seven white marbles, and four green marbles. A student is computing probabilities by drawing marbles out of the box. Drawing one marble, what is the probability that it is red?

Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice