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
Charra [1.4K]
3 years ago
8

Simplify the fraction and state the excluded value(s).

Mathematics
1 answer:
stira [4]3 years ago
8 0

Answer:

\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

<u>Calculus</u>

Discontinuities

  • Removable (Holes)
  • Jump (Piece-wise functions)
  • Infinite (Asymptotes)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Frac - Numerator] Factor quadratic:                    \displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}
  2. [Frac - Denominator] Factor GCF:                        \displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}
  3. [Frac] Divide/Simplify:                                           \displaystyle \frac{(7x - 10)}{5}, x \neq -2

When we divide (x + 2), we would have a <em>removable</em> <em>discontinuity</em>. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

You might be interested in
Assume that we are interested in the average length of 1015 fishes in Square Lake, WI. Also assume that all information for all
zimovet [89]

Answer is given below

Step-by-step explanation:

given data

average length of all 1015 fishes = 98.06 mm

randomly selects 50 fishes average length = 101.04 mm

solution

  • When we get here, we mean to measure, so here we measure a fish in a square lake.
  • And the variable means that a fish varies from fish to fish, so the length of the fish in the squares
  • parameter mean that all individuals in the population so the parameter is average length of all 1015 fish in square lake
  • statics is selct of individual in sample so statistic is average length of random sected so fish in square lake

8 0
3 years ago
What is the slops of the line that passes through the pair of points? (-5.5, 6.1), (-2.5, 3.1)
Svetach [21]

Answer:

most graphs don't go passed 10 so it's undefined

Step-by-step explanation:


8 0
3 years ago
A contract between a manufacturer and a consumer of light bulbs specifies that the mean lifetime of the bulbs must be at least 1
Alex17521 [72]

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

In point a:

In this sense, describe what type of error I will be.

Type I error: to conclude that perhaps the mean bulb life would be less than three hours when it becomes (at least) 3 hours.

In point b:

Describe throughout this context what the Type II error becomes.

An error of type II: never assuming that its bulbs' mean lifetime is much less than 3 hours. three hours at least

In point c:

What error — type I and type II — would further impact the interaction between the manufacturer and the customer?

A Type II error is probably further problematic because it means that even the buyer will buy bulbs that do not last long.

4 0
3 years ago
Use the table and equation to answer the following question.
ale4655 [162]

go ask ur mom for help not me ty

8 0
2 years ago
30. Find the value of expression 20m2 + 30m + 40 when a)m = -3 b)m= - 4 c) m = 3​
Temka [501]

Answer:

di you mean m² when you say m2 or not?

4 0
3 years ago
Other questions:
  • Kayeigh and Rachel each buy clothes in the sale.kayleigh's clothes normally cost £50 but had £5 off . Rachel's clothes normally
    6·2 answers
  • Daniel buys 17 raffel ticket a total of 280 tickets were soldFind the probability that daniel does not win
    12·1 answer
  • Mandy obtains a $155,000 20/6 balloon mortgage with a rate of 4.25%. What will her monthly payments be?
    11·1 answer
  • Find the sum of 2x^2 + 3x - 4, 8 - 3x, and -5x^2 + 2<br><br> please help me I'm so confused
    8·1 answer
  • Which statement describes a ratio?
    6·2 answers
  • . Six times a number diminished by 7<br>comes out to be 41. The number is ​
    10·1 answer
  • Your bedroom is a square and each side of your bedroom is 8 feet long what is the area of your bedroom
    11·2 answers
  • A new lawyer receives an annual income of $110,000. He must pay income tax of
    14·1 answer
  • Joyce paid $70 for an item at the store that was 70% off the original price. What was the original price?
    12·1 answer
  • A case of 24 cans of soup costs $38.16. What is the cost of 7 cans of soup?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!