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
stiks02 [169]
3 years ago
12

I need help on question 2 i need the simplified answer and the restrictions

Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0

Answer:

x cannot be 5 or -3.

\frac{x+5}{x+3}

Step-by-step explanation:

The restrictions for a fraction is that the bottom cannot be 0.

So if we find when the bottom is 0 we have found the values that x cannot be.

Let's solve x^2-2x-15=0.

Since the coefficient of x^2 is 1 all we have to do is find two numbers whose product is -15 and whose sum is -2.

Those numbers are -5 and 3 since (-5)(3)=-15 and (-5)+(3)=-2.

So the factored form of the equation is:

(x-5)(x+3)=0

This means either x-5=0 or x+3=0.

We do have to solve both.

x-5=0 can be solved by adding 5 on both sides.

x-5+5=0+5

x+0=0+5

x=5

x+3=0 can be solved by subtracting 3 on both sides.

x+3-3=0-3

x+0=0-3

x=-3

So x can be any number except x=5 or x=-3.

We already factored the bottom as (x-5)(x+3).

The top is a difference of squares, x^2-a^2,

which can be factored as (x-a)(x+a).

So the top factors as (x-5)(x+5).

The fraction can then be written as:

\frac{x^2-25}{x^2-2x-15}=\frac{(x-5)(x+5)}{(x-5)(x+3)}

This can further simplified assuming x is not 5 we can write it as \frac{x+5}{x+3}.  I canceled the common factor of (x-5).

You might be interested in
What is one tenth of .2?
rosijanka [135]
The answer would be 0.02, I believe
5 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)
Setler79 [48]

Answer:

\boxed {\boxed {\sf (1.5 , 2.5)}}

Step-by-step explanation:

The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

  • x₁= 5
  • y₁= 4
  • x₂= -2
  • y₂= 1

Substitute these values into the formula.

( \frac {5+ -2}{2}, \frac {4+1}{2})

Solve the numerators.

  • 5+ -2 = 5-2 = 3
  • 4+1 = 5

( \frac {3}{2}, \frac{5}{2})

Convert the fractions to decimals.

(1.5, 2.5)

The midpoint of the line segment is (1.5 , 2.5)

3 0
3 years ago
Use a calculator to find the standard deviation of this data set:
Rashid [163]

Answer:

3.5

Hope this helps!

4 0
3 years ago
Read 2 more answers
The volume of a Toblerone candy bar is 275 cm3. If the candy bar is 11 cm long, what is the area of the base?
algol [13]

Answer:

275 - 11=264

Step-by-step explanation:

5 0
3 years ago
Six years less than Tracy's age write it as a algebratic expression
docker41 [41]
 the answer would for the equation would beT-6 or 6-T
3 0
2 years ago
Read 2 more answers
Other questions:
  • Find the area of the rhombus
    11·2 answers
  • Solve the following system of linear equations. 3x + 2y = 10 2x + 3y = 15/2 No solution y = (-3/2)x + 5 x = 3, y = -1/2 x = 3, y
    5·1 answer
  • Find the distance between the two points in simplest radical form.<br> (3,9)and (0,2)
    8·1 answer
  • 26s? + 33<br> Submit<br> Hzhjskapskdjsjababah
    13·1 answer
  • Need help....ASAP on both 7 AND 8
    12·1 answer
  • You received a 75 gift card to your favorite store to buy new shirts. if shirts cost 13.99, how many you can buy??
    7·2 answers
  • Simplify: [3(2a)3/2] 2
    11·1 answer
  • PLEASE HELP!!!!!! ILL GIVE BRAINLIST
    5·1 answer
  • A man who can ride a bicycle 50 miles in 2 hrs and 25 minutes has what average speed <br> in mph?
    14·1 answer
  • Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!