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
Veronika [31]
1 year ago
6

Simplify : p^2-p-12/p^2-10p+24​

Mathematics
1 answer:
Elza [17]1 year ago
7 0

Step-by-step explanation:

=   \frac{ {p}^{2} - p - 12 }{ {p}^{2}  - 10 + 24} \\

=  \frac{ {p}^{2} - (4 - 3)p - 12 }{ {p }^{2}  - (6 + 4)p + 6 \times 4}  \\

=  \frac{ {p}^{2} - 4p + 3p - 4 \times 3 }{ {p}^{2} - 6p - 4p + 6 \times 4 }  \\

=  \frac{p(p - 4) + 3(p - 4)}{p(p - 6) - 4(p - 6)}  \\

=  \frac{(p + 3)(p - 4)}{(p - 4)(p - 6)}  \\

=  \frac{p + 3}{p - 6}  \\

☘️☘️☘️...

You might be interested in
The function f(t)=t^2+12t-18 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show y
ale4655 [162]
The function in vertex form is f(t) = (t+6)^{2} -54 (refer to your other post I solved it there).
The general form of quadratic equations in vertex form is f(x) = a(x-h)^{2} +k, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.
6 0
3 years ago
Write A number d minus 2 is less than -1 as an inequality
laiz [17]

Answer:

d-2 < -1

Step-by-step explanation:

4 0
3 years ago
You have been cleanin diesel dispensers for 35 minutes you have completed 6 you hace completed 6 how many minutes its taken to c
ololo11 [35]
The answer is 5.833333333 or 5.83 minutes
7 0
3 years ago
Armand ran the 100 yard dash in 17.18 seconds. Arturo's time has an 8 with a value 10 times the value of the 8 in Armand's time.
frosja888 [35]
8====D

He has a value of 64
4 0
3 years ago
Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min
Juli2301 [7.4K]

Answer:

-6 meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes)     Altitude (meters)

6                                   -20.4

9                                   -27.6

12                                   -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 represents difference of two y-coordinates,

x_2-x_1 represents difference of two corresponding x-coordinates of y-coordinates.

Let (6,-20.4) be (x_1,y_1) and (9,-27.6) be (x_2,y_2).

m=\frac{-27.6-(-20.4)}{9-6}

m=\frac{-27.6+20.4}{3}

m=\frac{-7.2}{3}

m=-2.4

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

y=mx+b, where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting m=-2.4 and coordinates of point (6,-20.4), we will get:

-20.4=-2.4(6)+b

-20.4=-14.4+b

-20.4+14.4=-14.4+14.4+b

-6=b

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is -6 meters.

6 0
3 years ago
Read 2 more answers
Other questions:
  • A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move alon
    6·2 answers
  • Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
    14·2 answers
  • I’m thinking of two numbers one of them is 11 more then the other and their sum is 131 what are the numbers
    8·2 answers
  • A Number m plus 4 is greater than or equal to seven
    8·1 answer
  • Write a sentence explaining why all solutions of rational equation must be checked
    10·1 answer
  • In the typing world, 80 words per 5 minutes is considered acceptable.
    8·2 answers
  • El perímetro de un rectángulo es 58 y su base excede en 10 a su ancho, ¿Cuánto mide la base? AYUDAAAA
    10·1 answer
  • Finish this sentence: "To find the surface area of a prism we need to find the _______ of all of the sides and _____ them togeth
    5·1 answer
  • Determine the unit rate of the following. 9 yards of material for 5 dresses The unit rate isyd / dress (Type a whole number or a
    13·1 answer
  • The Smith family is shopping for a new car and they are basing their decision on color and style. Explain how many color choices
    12·3 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!