Answers
Answer:
[tex]\huge\boxed{5p;\ (p+1)}[/tex]
Step-by-step explanation:
[tex]5p^3+45p^2+40p=5p(p^2+9p+8)=5p(p^2+p+8p+8)\\\\=5p\bigg[p(p+1)+8(p+1)\bigg]=5p(p+1)(p+8)\\\Downarrow\\\boxed{5p};\ \boxed{(p+1)};\ \boxed{(p+8)}[/tex]
the factors for the given expression are
[tex]5p, p+1, p+8[/tex]
Given :
Given expression is [tex]5p^3 + 45p^2 + 40p[/tex]
Lets factor the given trinomial by factoring out GCF that is greatest common factor
Lets find out GCF from the given expression
all the terms are divisible by 5 and also we have 'p' in common
so GCf is 5p
[tex]5p^3 + 45p^2 + 40p\\5p\left(p^2+9p+8\right)\\[/tex]
Now we factor [tex]\left(p^2+9p+8\right)[/tex]
Product is 8 and sum is 9
So factors are 8 and 1
[tex]5p\left(p^2+9p+8\right)\\5p\left(p+1\right)\left(p+8\right)[/tex]
So the factors are
[tex]5p, p+1, p+8[/tex]
Learn more : brainly.com/question/20127500
Related Questions
(b) The perimeter of a rectangular window is 298 cm.
If the length of the window is 81 cm, what is its width?
Width of the window: cm
Answers
Answer:
68
Step-by-step explanation:
81 +81 is 162
298-162=136
136/2=68
Before getting to school, Jason has a few errands to run. Jason has to walk 10 blocks to the theater, and 12 blocks to the gallery, before walking the final 6 blocks to arrive at school. If Jason has already walked 7 blocks, how many more blocks must he walk before arriving at school?
Answers
Answer:
11
Step-by-step explanation:
PLEASE HELP !!! ASAPPPP Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
O 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3 fraction.
O 1 over 4 of 10 times the sum of 5 and 3, minus 3
O 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
O 10 times fraction 1 over 4 plus 3 and 5, minus 3
Answers
Answer:
I think its the first one...
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
Which of the following is in the solution set (would appear in the shaded region of
the graph) for the inequality + 7 > 9?
A. 6
B. -6
C. -4
D. 2
SHOW YOUR WORK PLSS
Answers
Answer:
the answer Is D.2
Step-by-step explanation:
9 is greater than 7 by 2
Challenge The numbers of home runs a baseball player hits during spring training and during the regular season for four years are shown. Decide if the relationship between home runs hit in spring training and during the regular season is proportional. If the table represents a proportional relationship, find how many home runs are hit during the regular season if the player hit 3 during spring training
Answers
Answer:
12
Step-by-step explanation:
Key word: Most likely
First try to find the constant of proportionality
8/2= 4
4/4= 1
20/5=4
24/6=4
Since it says most likely we would say the constant of proportionality is 4.
Since they are asking for 3 homes runs we will do 3 times 4
[tex]3[/tex]×[tex]4=12[/tex]
The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
What is constant of proportionality?The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Finding the constant of proportionality :-
8/2= 4
4/16= 4
20/5=4
24/6=4
Since, the constant of proportionality is 4.
And, they are asking for 3 homes runs we will do 3 times 4
Therefore, 3 x 4 = 12
Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
Learn more about constant of proportionality click;
https://brainly.com/question/29153656
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What is the image of (2, 1) after a dilation by a scale factor of 4 centered at the
origin?
HELP
Answers
Answer:
The image of the point is (8, 4)
Step-by-step explanation:
If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (kx, ky)
Let us solve the question
∵ The point is (2, 1)
∴ x = 2 and y = 1
∵ The point dilated by a scale factor of 4 centered at the origin
∴ k = 4
→ By using the rule above multiply each coordinate of the point by 4
∵ The image of the point is (kx, ky)
∵ kx = 4 × 2
∴ kx = 8
∵ ky = 4 × 1
∴ ky = 4
∴ The image of the point is (8, 4)
simplify. e^(in x)=, e^(in 5)=, e^(in 3x)=
Answers
Answer:
Step-by-step explanation:
e^ lnx = x
e^ ln5 = 5
e^ ln 3x = 3x
I think you get the idea... e is an inverse operation to ln :o
Answer:
Simplify.
ln e =
✔ 1
ln e2x =
✔ 2x
ln 1 =
✔ 0
Simplify.
eln x =
✔ x
e ln 5 =
✔ 5
e ln 3x =
✔ 3x
Step-by-step explanation:
PLEASE HELP ME ASAP
The m
Answers
a company can buy packages of 500 sheets of paper for $4. At this rate, how much paper can bet bought for $2000
Answers
Answer:
2000/4×500=250000sheets
Step-by-step explanation:
A new bank customer with 3000$ wants to open a money market account. The bank is offering a simple interest rate of 1.7%
Answers
Answer:
interest = $5.1
Step-by-step explanation:
2x+3x+5=x+25 taking a math quiz
Answers
Answer: x=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+5=x+25
Or,6x=30
Or,x=5
What does 5/12 - 1/3 equal?
Answers
Answer: 1/12
Step-by-step explanation:
5/12 - 1/3
1/3 = 4/12
5/12 - 4/12 = 1/12
how do you write 9.7 x 10^3 in standard
Answers
Solve this please question
Answers
Answer:
the speed will be 3 meters
Step-by-step explanation:
Answer:
speed is 3m
Step-by-step explanation:
cause i did count the 3 lines so i did have the 3m and it say their is 1m per 1 line and count the line and you have 3m hope it help!!
Help, I need help plz. Like NOW!!
Answers
Answer:
2nd one
Step-by-step explanation:
Answer:
the second answer
Step-by-step explanation:
( multiply and divide left to right , add and subtract left to right)
Find the length of side a.
Answers
Answer:
Answer B) 5
Step-by-step explanation:
Set [tex]a^{2}=c^{2}-b^{2}[/tex]
[tex]a^{2}=13^{2}-12^{2}[/tex]
if AB= 5 what is the exact length of BD in square ABCD
Answers
Answer:
sqrt 50
Step-by-step explanation:
First of all this is a square so if AB = 5, then AD is also 5.
Let's get rid of the other triangle and only focus on triangle ABD.
Using Pythagorean theorem we are able to solve this problem.
The Pythagorean Theorem basically states that:
a^2 + b^2 = c^2
Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.
Substitute these numbers in: 5^2 + 5+2 = c^2
Solve: 50 = c^2
c= sqrt 50
^ and that is our answer!
Write in slope intercept: slope=2/3 y-intercept =-1
Answers
Answer:
y=2/3-1.
Step-by-step explanation:
Slope intercept is the easiest out of the forms because you just plug in what is given. Here you are given 2/3 for the slope and the y-int Is -1.
The formula for slope intercept is y=mx+b
m= slope
b= y-int
And you just plug it in.
so the answer would be: y=2/3-1. Hope this helps!
Using the slope formula, find the slope of the line through the given points ( 9, 4 ) and ( 4, 4 )
Answers
Answer: 0
Step-by-step explanation: it’s undefined
Answer:
y2-y1 over x2-x1
Step-by-step explanation:
so pick one and make it 1 and pick the other and make it 2 and fill in for x and y.
A lake is 3/4 mile wide. Chandler sailed 4/5the width of the lake How far did Chandler sail
Answers
Answer:
1/6
Step-by-step explanation:
Chandler sailed 1/6 of the lake
Answer:
About .6 or 3/5 simplified
Step-by-step explanation:
Please please help please please ASAP
Answers
Answer:
a
Step-by-step explanation:
tan is the opposite divided by the adjecent. The opposite of x is 24 and the adjecent of x is 18, so you would get 24/18 but you have to simplify which simplified is equal to 4/3
3/4x-4=-19
Whats is the solution to the equation?
Answers
Answer:
x=-20
Step-by-step explanation:
2) divide 54kg in the ratio 1:5=
Answers
Answer:
9:45
Step-by-step explanation:
1:5= 6 parts
54/6=9
9*1=9
9*5=45
9:45
Answer:
9kg and 45kg
Step-by-step explanation:
In fraction from 1:5 is equivalent to 1/(1+5) = 1/6 and 5/(1+5) = 5/6.
So the answer is 54 * 1/6 and 54 * 5/6.
= 9 and 45.
what is the radical of 508.0015677?
Answers
Answer:
I have the same question and I need it answeeed
Step-by-step explanation:
Answer:
22.538890116862454
Step-by-step explanation:
......
Suzy has a collection of quarters and dimes. Together she has 34 coins worth $6.40. How many quarters and how many dimes does Suzy have?
Please show your work :)
Answers
Answer:
Quarters = 20
Dimes = 14
Step-by-step explanation:
Dime = x = 10 cent = $0.1
Quarter = y = 25 cent = $0.25
x + y = 34 - - - (1)
0.1x + 0.25y = 6.40 - - - - (2)
From (1)
x = 34 - y
0.1(34 - y) + 0.25y = 6.40
3.4 - 0.1y + 0.25y = 6.40
3.4 + 0.15y = 6.40
0.15y = 6.40 - 3.40
0.15y = 3
y = 3 / 0.15
y = 20
x = 34 - y
x = 34 - 20
x = 14
Quarters = 20
Dimes = 14
Hey! I need some help with this question I'm not very good with math so if anyone would be willing to help me out id be grateful thx.
An asteroid is 10^{8} miles away from earth, and it is traveling at a speed of 10^{5} miles per day.
How many days will it take the comet to reach earth?
Answers
Answer:
It will take 10^3 days for the comet to reach earth.
Step-by-step explanation:
10^8 = 100,000,000
10^5 = 100,000
100,000,000/100,000 = 1,000
1,000 is equal to 10^3
What is the length of the leg on a right triangle with the other leg measuring 15 inches and the hypotenuse measuring 18 inches
Answers
[tex] \huge \cal \blue{ANSWER}[/tex]
In this triangle by applying Pythagoras theorem.
H²=B²+P²
18²=15²+P²
324=225+p²
324-225=P²
√99=p
9.94
need some help on my math
please help i need A grade
Answers
Answer:
2and 9/10
Step-by-step explanation:
3 1/5- 3/5= 2 9/10
Picture attached below
Answers
Answer:
it's answer is B. 4/5
Step-by-step explanation:
perpendicular (p) = 8
hypotenuse (h) = 10
sin < A
= p/h
= 8/ 10
= 4/ 5
Hope it will help :)
in the computer lab, there are 1 PC every 5 Mac computers. if the computer lab has a total of 24 computers, how many are Mac?
Answers
Answer:
20 of the computers are Mac
Step-by-step explanation:
if 1 pc = 5 Mac
4 pc = 20 mac
add 4 + 20 you get 24 which is the total number of computers