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
aliina [53]
3 years ago
11

Find the difference and simplify.

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

Step-by-step explanation:

\frac{x + 1}{x - 4}  -  \frac{x + 3}{x + 2}  \\  \frac{(x + 1)(x + 2)}{(x - 4)(x + 2)}  -  \frac{(x + 3)(x - 4)}{(x + 2)(x - 4)}  \\  \frac{ {x}^{2} + 3x + 2 }{(x + 2)(x - 4)}  -  \frac{ {x}^{2} - x - 12 }{(x + 2)(x - 4)}  \\  \frac{( {x}^{2}  + 3x + 2) - ( {x}^{2}  - x - 12)}{(x + 2)(x - 4)}  \\  \frac{ {x}^{2}  + 3x + 2 -  {x}^{2}  + x + 12}{(x + 2)(x - 4)}  \\  \frac{4x + 14}{(x + 2)(x - 4)}  \\  \frac{2(2x + 7)}{(x + 2)(x - 4)}

You might be interested in
Write the equation of the line in fully simplified slope-intercept form.
Leya [2.2K]

Answer:

y = -\frac{1}{6}x +2

Step-by-step explanation:

To write an equation into slope-intercept form, or y = mx + b format, we need to find the y-intercept of the line and its slope and substitute values for m and b.

1) First, find the y-intercept. The y-intercept is the point at which the line intersects the y-axis. Reading the graph, we can see that the line passes the y-axis at the point (0,2), thus that is the y-intercept.

2) Next, find the slope. Pick out two points on the graph to use for the slope formula, \frac{y_2-y_1}{x_2-x_1}. I chose to work with (0,2) and (6,1). Now, substitute the two points' x and y values into the formula appropriately and solve:

\frac{(1)-(2)}{(6)-(0)} \\= \frac{1-2}{6-0}\\= \frac{-1}{6}

Thus, -\frac{1}{6}  is the slope.

3) Now, substitute the calculated values into the y = mx + b format. The b represents y-value of the y-intercept. The y-intercept is (0,2), thus substitute 2 for b. The coefficient of the x term, or m, represents the slope, thus substitute -\frac{1}{6} for m. This will give the following equation of the line in slope-intercept format:

y = -\frac{1}{6}x +2

4 0
3 years ago
Read 2 more answers
How do you determine if the graph opens<br> up or opens down?
strojnjashka [21]

Answer:

There is an easy way to tell whether the graph of a quadratic function opens upward or downward: if the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.

Step-by-step explanation

5 0
3 years ago
5x (-2w-4) I need this asap
ira [324]

Hello from MrBillDoesMath!

Answer:

-10w - 20


Discussion:

5 ( -2w - 4 )   =                    

5(-2w) - 5(4) =

-10w - 20

Thank you,

MrB

4 0
3 years ago
Can somebody please help me 8th grade math puzzle
Naddika [18.5K]
Burrito: 20
hot sauce: 80
taco: 400
8 0
4 years ago
6³ ÷ 4 + 2 x 9(32 x 8 – 17 x 4).
inn [45]

ANSWER

3438

EXPLANATION:

<em>PARENTHESIS FIRST</em>

32 x 8 = 256

17 x 4 = 68

256 - 68 = 188

(<u>now the equation is, 6³ ÷ 4 + 2 x 9 (188))</u>

<u />

<em>EXPONENTS NEXT</em>

6³= 216

(<u>now the equation is, 216 ÷ 4 + 2 x 9 (188))</u>

<u />

<em>MULTIPLICATION AND DIVISION NEXT (left to right)</em>

216 ÷ 4 = 54

2 x 9 = 18

18 x 188 = 84

(<u>now the equation is, 54 + 3384)</u>

<u />

<em>LASTLY ADDITION AND SUBTRACTION (left to right)</em>

54 + 3384 = 3438

Ta-da!

8 0
3 years ago
Other questions:
  • the length of a rectangle is five times its width. if the area of the rectangle is 245 meters squared, find its perimeter
    12·1 answer
  • What is the value of f(-4)
    10·1 answer
  • A box of crackers costs $0.26 per ounce. If the box contains 10 ounces, what is the cost of the box of crackers?
    10·2 answers
  • If Tara spends $219 a month for her car payment and she makes $3,200 a month, what percent of her monthly income is spent on her
    6·2 answers
  • How much do you save per class by taking the longer-term class: Weight Training, $230 for 18 weeks (54 classes) or $400 for 36 w
    9·2 answers
  • Patty needs a total of 80$ to buy a bicycle .she has already saved 35$. If she saves 10$ a week. From her earnings ,what is the
    9·2 answers
  • Solve each equation for the indicated variable
    10·2 answers
  • Factor this polynomial.<br> .-2x2 - 7x-3
    15·1 answer
  • A wasp is a flying insect. In wasps, wing length is coded for by a single gene. Two scientists studying wasps hypothesize that s
    11·1 answer
  • What is the length of BC in the right triangle below?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!