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
Elden [556K]
3 years ago
15

For the rational expression 2x^2-7x-15/x^2-25, do both of the following,

Mathematics
1 answer:
Mrrafil [7]3 years ago
3 0

Answer:

a. \frac{2x + 3}{x+5}

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

2x^2 - 7x - 15              

Two numbers that multiply to -30 and add to -7 = -3 and 10

[2x^2 - 10x] + [3x - 15]

(2x + 3)(x - 5)

Factor the denominator (Difference of Two Squares):

x^2 - 25 = (x +5)(x-5)

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}

Variable Restrictions:

Denominator ≠ 0

x + 5 = 0\\x = -5

Vertical asymptote at x = -5 ⇒ x ≠ -5

You might be interested in
Rita is hiking along a trail that is 15.8 miles long. So far she has hiked along one-tenth of the trail. How far has Rita hiked?
Phantasy [73]
The answer is 1.58 miles
8 0
3 years ago
4x + 1/3 y 2 what is the value of the expression above when x = 2 and y = 3
GenaCL600 [577]
Hoi!

To solve this, first plug in the values for x and y.

x = 2, so anywhere you see x, put 2 in its place.

y = 3, so anywhere you see y, put 3 in its place.

4(2) +  \frac{1}{2}(3)

4 × 2 = 8

\frac{1}{2} × 3 = 1 \frac{1}{2}


8 +1 \frac{1}{2} = 9 \frac{1}{2}

9 \frac{1}{2} is your answer.



4 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!! :/
gregori [183]
The answer is 45 when you substitute all the variables in
5 0
2 years ago
Read 2 more answers
Pleaseee help im so behind, i also need an explanation for it :(
snow_lady [41]

Answer:The first one should be it Dont trust me

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help ASAP thank you
vladimir1956 [14]

Answer:

Triangle.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • [[ ANSWER PLS ]]
    12·1 answer
  • Explain why the exponents cannot be added in the product 12^3 * 11^3
    9·1 answer
  • An ice cream shop offers 5 different types of ice cream, 6 different toppings and the option of having a small, medium or large.
    7·1 answer
  • Write the equation of a line that contains (2,−2) and perpendicular to another line with slope −1. (20 POINTS)
    5·1 answer
  • Which equation has all real numbers as solutions?<br> HELLLPP
    6·2 answers
  • Simply : b2 • b3 • b<br> (• = divide)
    15·1 answer
  • Find the value of x. rounded to the nearest tenth or as a whole/ fraction
    11·1 answer
  • On average, an American hummingbird flaps its wings about 3,180 times per minute.
    14·1 answer
  • Help me please 10 POINTS
    11·2 answers
  • In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. Fif
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!