Answers
Answer:
[tex]\huge\boxed{D)\frac{3p}{p-3} }[/tex]
Step-by-step explanation:
The first thing that can help you here is factoring every term.
[tex]p^2-4p-12[/tex]
Factor.
[tex](p-6)(p+2)[/tex]
[tex]6p+12[/tex]
Factor.
[tex]6(p+2)[/tex]
18p
Factor, keeping in mind the denominator of the other term.
[tex]6(3p)[/tex]
[tex]p^2-9p+18[/tex]
Factor.
[tex](p-6)(p-3)[/tex]
Now you have simplified your original problem:
[tex]\frac{p^2-4p-12}{6p+12} *\frac{18p}{p^2-9p+18}[/tex]
into:
[tex]\frac{(p-6)(p+2)}{6(p+2)} *\frac{6(3p)}{(p-6)(p-3)}[/tex]
Now, after multiplying the numerator and denominator of the fractions:
[tex]\frac{(p-6)(p+2)(6)(3p)}{(6)(p+2)(p-6)(p-3)}[/tex]
Then, you can simplify the fraction by cancelling terms:
[tex]\frac{3p}{p-3}[/tex]
Hope it helps :) and let me know if you want me to elaborate.
Related Questions
Elizabeth is a high school basketball player. In a particular game, she made some free throws (worth one point each) and some two point shots. Elizabeth scored a total of 16 points and made twice as many free throws as two point shots. Graphically solve a system of equations in order to determine the number of free throws made, x,x, and the number of two point shots made, yy.
Answers
Answer:
x = 8 and y = 4
Step-by-step explanation:
Firstly, the two equations for this question are x + 2y = 16 (represents the number of free throws and 2-pointers) and 2y = x (represents the ratio of free throws to 2-pointers). Now we can use substitution to help us solve this problem, by substituting 2y for the x variable in the first equation to get (2y) + 2y = 16. Now we combine the like terms to get 4y = 16. Now we can divide both sides of this equation by 4 to get y = 4. Now we can find the x variable by substituting 4 for the y variable in the second equation. We get 2(4) = x and this simplifies to x = 8.
Note: The systems used to solve this question and the answers for the values of x and y are bolded.
Answer:
Here is one of the equations 2x + y=16
Step-by-step explanation:
I apologize I couldn't find the other one.
Which numbers are a distance of 2 units from 8 on a number line?
Answers
Answer: 6 & 10
Step-by-step explanation:
6 and 10 are 2 units away from a positive 8 on the number line
Find the value of X
Answers
[tex]x + 3x + 80 = 180 \\ 4x = 180 - 8 0 \\ 4x = 100 \\ x = \frac{100}{4} \\ x = 25 \: \: \: [/tex]
Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.
Answers
Answer:
$40.5.
Step-by-step explanation:
if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.
find the equation of a line perpendicular to y=x-3 that contains the point (2,1)
Answers
Answer:
y = -x + 3
Step-by-step explanation:
y = x - 3 This equation has a slope of 1
A line that would be perpendicular to the above line would then need a slope of -1
If the line has a slope of -1 and passes through (2, 1) then we can plug into
y = mx + b to get the 'b' value
1 = (-1)(2) + b
1 = -2 + b
3 = b
Equation would be y = -x + 3
Find the slope between (-4,9)and(-2,8)
Answers
Answer:
-1/2
Step-by-step explanation:
Tell me if you want a step by step.
Hope this helps. :)
Answer:
-1/2
Step-by-step explanation:
Merriam and Emmanuel assemble a new bookshelf. Its 1ft deep,4ft wide, and 8ft tall. They assemble it flat bit when they tip it up The shelf hits the ceiling. Why does it hit the ceiling
Answers
The maximum dimension of the shelf is given by the space diagonal
length of the shelf.
A possible reason why the shelf hits the ceiling is because the ceiling is
less than or equal to 9 feet from the ground.
Reasons:
The maximum height of the shelf is given as follows;
The diagonal of one of the side = √(8² + 4²)
The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9
The maximum extension of the shelve = 9 feet
Given that the shelf touches the ceiling, we have, that maximum height of
the ceiling = 9 feet.
Therefore, the shelf touches the ceiling because, height from the floor to
the ceiling is lesser than equal to 9 feet.
Learn more here:
https://brainly.com/question/9702103
What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answers
Answer:
1. 50% of a number
0.5
2. 10% of a number
0.1
3. 75% of a number
0.75
Step-by-step explanation:
this is because a percentage is the same as a decimal or a fraction
so 50% is 0.5 or 50/100
taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100
same with 10% and 75%
Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. (1 point)
15x = 1.39
15 + x = 1.39
1.39x = 15
1.39 + x = 15
Answers
Evaluate. 84
A.65,536
B. 4096
C. 512
D.32
PLZZZZZZ HELP and rate my rovlox fit
Answers
Answer:
its 32
Step-by-step explanation:
The value of the expression is 55/3.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
84 ÷ 42 x 6 + 18
Using the PEMDAS rule.
84 ÷ 252 + 18
84/252 + 18
1/3 + 18
(1 + 54)/3
= 55/3
Thus,
The value of the expression is 55/3.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The complete question:
84 ÷ 42 x 6 + 18
Solve the expression.
write an equation in slope intercept form of the line
Answers
Answer:
4x + 4
Step-by-step explanation:
(4, 5) and (8, 6) are points on the line.
Using delta method:
4 to 8 = +4
5 to 6 = +1
Slope = 4
The line intercepts the y-axis at (0, 4)
Y-int = 4
I need it right now .
Answers
Answer:
y=9
a=1.5
n=74
v=8
k=11
b. a=6.5
c. n=-226
d. v=12
e. k=11
7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in
Answers
Answer: at least 2
Step-by-step explanation: idek
There are approximately 4 million births per year in the U.S. Express this quantity in births per minute.
Answers
Answer:
~7.61 births/minute
Step-by-step explanation:
a movie theater can seat 200 people. for one show 85 people are in the theater already. solve the inequality to find how many more people can attend this show
Answers
200-85=115 will be the answer.
Luka, Zara, and Kim simplified the following expression: -3(x+4) – 2(5x – 6). Their work
is shown below. Who simplified the expression correctly? Explain your answer. (Hint:
None, one, or two of the students could be correct.)
I
Luka
-3(x+4) - 2(5x-6)
-3(x+4) + -2(5x + -6)
-3x + -12 + -10x + 12
-13x
Zara
-3(x+4) - 2(5x-6)
-3x + -12 - (10x -12)
-3x + -12 - 10x + 12
-13x
Kim
-3(x+4) - 2(5x - 6)
-3x + -12 - 10x - 12
-13x - 24
Answers
Answer:
Kim and Zara are correct.
Step-by-step explanation:
Correct simplification:
-3(x+4) - 2(5x-6)
-3x + (-12) - 10x + 12
-3x - 12 - 10x + 12
- 13x
Luka is correct.Zara is correct.Kim is incorrect because when -2 is distributed to (5x-6), it should come out to be -10x+12.when Anna buys 3 pencils, she spends a $1.50. Each pencil cost the same
Answers
Answer:
Each pencil is $.50
Step-by-step explanation:
If the total amount she spends is 1.50 for 3 pencils, and each pencil costs the same. Then you have to divide the total amount by the variables. Leaving your equation to be:
1.50 ÷ 3
equaling
.50
Let cost of each pencil be x
Cost of 3 pencils=3xATQ
[tex]\\ \rm\hookrightarrow 3x=1.50[/tex]
[tex]\\ \rm\hookrightarrow x=1.5/3[/tex]
[tex]\\ \rm\hookrightarrow x=0.5[/tex]
Find the perimeter. Simplify your answer.
Answers
Answer:
P = 2w - 10
Step-by-step explanation:
To solve this problem use the perimeter formula [tex]P=2l+2w[/tex]
So here we have 1 as the width and w-6 as the length [tex]P=2(w-6) + 2(1)[/tex]
So we multiply 2(w) 2(-6) to get 2w-12
So because 2 times 1 is 2 the perimeter would be [tex]P=2w-12 + 2[/tex]
Simplified would be [tex]P=2w-10[/tex]
because -12 + 2 = 10
Hopes this helps
In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.
Answers
the answer is 524.47500
can u sub 2 my channel its Raging Sushi and can u like the only video there is
Calculate measures of central tendency and
dispersion for the following:
Find the mean, median, midrange, mode, range, standard deviation and Quartile graph
Data: 54, 92, 101, 83, 45, 102, 99,76, 79, 85, 90, 100,
98, 71, 65, 63, 90, 88, 70, 60, 90, 58,81
Answers
Answer:
The mean is 80, the median is 83, and the mode is 90
Step-by-step explanation:
Need help with this question
Answers
Blue- Y=3x+2 slope int
Y-2=3(x-0) point slope
Red - Y=1/2x-2 slope int
Y+2=1/2(x-0)
slope intercept: y= -2x+ 2
point slope form: y+1= -2(x-1)
red line
slope intercept: y=1/2x-2
point slope form: y+1= 1/2(x-2)
help with this questions please!
Answers
Answer:
Area = 1/4 * pi * diameter^2
The area is 78.5^2
Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?
Answers
Answer:
90$
Step-by-step explanation:
Answer:
$90
Step-by-step explanation:
$15 + $39 + $18 + $27 = $99
$189 - $99 = $90
Hope this helps <3
An article marked at 1,200 is sold an 8% discount find the s.p of the article?
Answers
Which of the following expressions correctly describes Completing the Square?
Answers
The expression that correctly describes completing the square is;
Option C; x² + ax + (a/2)²
Let's say we have an expression;
x² + ax + c = 0
Let us first rearrange to get;
x² + ax = -c
Add (a/2)² to both sides to get;
x² + ax + (a/2)² = -c + (a/2)²
Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²
But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²
Read more at; https://brainly.com/question/13981588
there is a sale of soft drinks, so four stores are competing with each other. which store offers the best buy ?
store A:12 pack for 3.00
store B: 22 packs for 5.50
store C: 18 pack for 4.75
store D: 36 pack for 8.00
( ill give brainly to whoever answer first w an explanation)
Answers
Answer:
desculpa,mais eu preciso de ponto para ajudar meu irmão
Explanation: $8/36=22c
A recipe calls for 12 ½ cups of oats. If two times the recipe needs to be made, what amount of oats will be required?
Answers
12 * 2= 24
1/2 *2 =1
24+1
25
Resolver para y. 3xy=12*
Answers
Answer: 4y-1
Step-by-step explanation:
Simplifying 3xy = 12 Solving 3xy = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3y'. x = 4y-1 Simplifying x = 4y-1
Hope this helps
What kind of sequence?
8,4,2,1....
A geometric
B arithmetic
C neither
Answers
Answer:
A. geometric
Step-by-step explanation:
The rule is to divide by 2: if you are dividing or multiplying between each term, then the sequence is geometric.
Arithmetic sequences add or subtract the same number between each term.
Hope this helps.
Please help mee …………..
Answers
Answer: i think its A
Step-by-step explanation:
Let's say that a is 8, b is 17, and c is x,
Maximum:
a + b > c
8 + 17 >c
c < 25
Minimum:
b + c > a
17 + c > 8
c > -9
(As it cannot be negative, we will call this 9.)
So, our answer is D as c, x, must be less than 25 and greater than 9.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather