Answers
Answer:
a) The factors of x² + 3·x are x and (x + 3)
x² + 3·x = x·(x + 3)
b) The factors of 2·x² - 8·x are 2, x and (x - 4)
2·x² - 8·x = 2·x·(x - 4)
c) The factors of 6·x + 9·x³ are 3, x and (2 + 3·x²)
6·x + 9·x³ = 3·x·(2 + 3·x²)
d) The factors of 12·x³ - 4·x² are 4, x², and (3·x - 1)
12·x³ - 4·x² = 4·x²·(3·x - 1)
Step-by-step explanation:
The question relates to resolving a polynomial into its factors;
a) For the polynomial (quadratic) equation, x² + 3·x, we have;
x² + 3·x = x·(x + 3)
Therefore, x² + 3·x in factorized form is x·(x + 3)
b) For the polynomial (quadratic) equation, 2·x² - 8·x, we have;
2·x² - 8·x = 2·x·(x - 4)
Therefore, 2·x² - 8·x in factorized form is 2·x·(x - 4)
c) For the polynomial (cubic) equation, 6·x + 9·x³, we have;
6·x + 9·x³ = 3·x × (2 + 3·x²)
Therefore, 6·x + 9·x³ in factorized form is 3·x·(2 + 3·x²)
d) For the polynomial (cubic) equation, 12·x³ - 4·x², we have;
12·x³ - 4·x² = 4·x²·(3·x - 1)
Therefore, 12·x³ - 4·x² in factorized form is 4·x²·(3·x - 1).
Related Questions
enter an equation point slope form for the line slope is -3 and (1,7) is on the line
Answers
Answer:
Well the equation you use is y-y1=m(x-x1) so it’s going to be Y-7=-3(x-1)
Step-by-step explanation:
You would plug in your coordinates but did you need to find another coordinate ?
explain if the radical expression is in simplified form:
[tex]\sqrt{ \frac{13x}{16m^{2} }[/tex]
Answers
Answer:
No the radical is not in simplified form, as the denominator is a perfect square and can be pulled out:
[tex]\sqrt{\frac{13x}{16m^2}}\\= \frac{\sqrt{13x}}{4m}[/tex]
A number went into this machine and 36 came out. What number went in?
Answers
Answer:
6? If its a squared machine than it is 6 bc 6 squared is 36. sorry if it is wrong.
Step-by-step explanation:
Help me please!!! rewrite as a simplified fraction.
1.1 and the second 1 is repeated.
Answers
Answer:
1.1 as a simplified fraction is 11/10 and 1 repeating as a simplified fraction is 1/9
Step-by-step explanation:
pretty sure its right...
Answer: 10/9 hope that helps :>
Step-by-step explanation:
which graph above represents the equation y = 1/2x + 3
Answers
Answer:
A graph where the y-intercept is 3 and the slope is 1/2.
Step-by-step explanation:
Here is the graph:
See Attachment.
Ace Carlos
pls help due in 5 mins!!
Answers
Answer:
-17
Step-by-step explanation:
................ .......
Figure I and Figure II are similar figures.
Which proportion must be true?
*answers are in the picture*
Answers
Answer:
St/EF = WR/CD
Step-by-step explanation:
The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,
[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]
Thus the option H is the correct option.
To find the correct proportion we need to know about the properties of slimier polygon.
What are the properties of similar polygon?Two polygons are said to be similar or congruent pentagon-
The corresponding angle of two pentagons are congruent.
The ratio of corresponding sides is same for all the sides.
The figure given in the problem of similar two polygons with six sides.
Rearrange the second figure as shown in figure.
As for the similar polygons, the ratio of corresponding sides is same for all the sides.
Thus the sides shown in the two rearranged figure must be same. Therefore,
[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]
Hence the correct proportion is,
[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]
Thus the option H is the correct option.
Learn more about the similar polygon here;
https://brainly.com/question/771807
What is the equation of the line that passes through the point (-3, 1) and
has a slope of 4/3?
Answers
y = 4/3x +5 is the equation of the line that passes through the point (-3, 1) and has a slope of 4/3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us use point-slope formula y-y₁ = m(x-x₁) with point (-3,1) and slope m of 4/3.
Plug in the values
y-1 =4/3(x-(-3))
y-1 = 4/3(x+3)
Apply distributive property
y-1 =4/3x +4
Add 1 on both sides
y = 4/3x +5
Hence, y = 4/3x +5 is the equation of the line that passes through the point (-3, 1) and has a slope of 4/3.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
The table shows the number of cruise ships in a harbor on various days.
Monday: x-4
Tuesday: x+9
Wednesday: 2x
Thursday: 3x-7
Friday: 4
Write an expression for the total number of cruise ships in the harbor on all 5 days.
Answers
Answer:
7x + 2
Step-by-step explanation:
Hope this helps,
have a great day,
Please subscribe to Random Topics Trending on youtub.
Simon and Tess are reading the same book. Two weeks ago, Tess had read 20\%20% more than what Simon had read. Since then, Simon has not read any of the books, and Tess has read 6060 more pages. Now, Tess has read a total of 60\%60% more than what Simon has read. How many pages had each person read two weeks ago? Use the diagram to help you answer the question.
Answers
Answer:
12.4
Step-by-step explanation:
Answer:
This is wrong because there is a question that asks how many pages did simon read and how many did tess read. Tess read 72 pages.
Step-by-step explanation:
find the value of x in each of the given triangles.
Answers
Answer:
321hftgkrrgr
Step-by-step explanation:kkkkk
g) (12d + 3) +-14d what's the answer
Answers
Answer: -2d+3
Step-by-step explanation:
what is the answer to 5--4
Answers
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
plz help i need help
Answers
who can answer this?
screen shot attached
Answers
Answer:
610 in
Step-by-step explanation:
Answer:
356
Step-by-step explanation:
To answer this, find the area of each side, then add the values together.
Normally Surface Area = 2 (wl + hl + hw) but in this case, the easiest way to solve this is to divide the shape into 2 different rectangular prisms. Your new equation would be: SA = Sa₁ + Sa₂ or it could be
SA = [2 (wl + hl + hw)] + [2 (wl + hl + hw)]
We'll start by solving the surface area for the larger rectangular prism.
Sa₁ = 2 (wl + hl + hw) substitute w, l, and h
Sa₁ = 2 [(10)(0.5) + (12)(0.5) + (12)(10)]
Sa₁ = 2 (131)
Sa₁ = 262
Now do the same equation for the smaller rectangular prism
Sa₂ = 2 (wl + hl + hw) substitute w, l, and h
Sa₂ = 2 [(10)(0.5) + (4)(0.5) + (4)(10)]
Sa₂ = 2 (47)
Sa₂ = 94
Now add Sa₁ and Sa₂
SA = 262 + 94
SA = 356
Nuan is using a faulty barcode scanner that misreads
barcodes 5% of the time. Let B = the number of
barcodes Nuan scans until the scanner misreads one.
Assume the success of each scan is independent.
Find the probability that Nuan scans greater than 10
barcodes before the scanner misreads one.
You
may round your answer to the nearest hundredth.
PB > 10) =
Answers
Answer: 0.6
Step-by-step explanation:
0.6 is the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
Nuan is using a faulty barcode scanner that misreads barcodes 5% of the time.
Let B = the number of barcodes Nuan scans until the scanner misreads one.
n=10
p=5%=0.05
Mean=1/p=1/1/20=20
Variance=1-p/p²
=1-1/20/(1/20)²
=19/20×400
=380
Standard deviation=√380=2√95=19.493
p(x=10)=0.0315
p(x<10)=0.3697
p(x≤10)=0.40126
p(x>10)=0.598
=0.6
Hence, 0.6 is the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Which system of equations has no solution?
A 3y = 1 + x
y=-2x + 5
B. 4x - 5y = 3
-3 = 4x - 5y
C. 5x + 4y = 1
4x – 2y = 4
O D. y=-3x + 4
y=-x+1
Answers
Answer:
b
Step-by-step explanation:
b
help im timed on edge 2021 50 points only awnser if you know the right one
Read the passage from an online source.
Aqueducts were amazing feats of engineering given the time period. Though earlier civilizations in Egypt and India also built aqueducts, the Romans improved on the structure and built an extensive and complex network across their territories. . . .
Aqueducts required a great deal of planning. They were made from a series of pipes, tunnels, canals, and bridges. Gravity and the natural slope of the land allowed aqueducts to channel water from a freshwater source, such as a lake or spring, to a city.
–"Roman Aqueducts,”
National Geographic
Which piece of evidence from the passage best supports the claim that Romans developed advanced technology that influenced modern society?
The Romans were very smart.
The Romans had many lakes and springs.
The Romans built aqueducts to move water.
The Romans made improvements in their cities.
Answers
Answer:
I think its The Romans built aqueducts to move water. So So SO sorry if its wrong!!
Step-by-step explanation:
hope this helps!!
Love: Deku <3
Answer:
Its C
Step-by-step explanation:
got 100% hope this helps :)
Ms. Fords kitchen is in the shape of a rectangle with a width of 12.25 feet she is buying a wallpaper border to go on all of the kitchen walls she wants to buy 5 extra feet of the border to make sure she has enough she buys 62.5 feet of the border what's the length of her kitchen?
Answers
Answer:
Length of the rectangle = 16.5 feet
Step-by-step explanation:
Border length bought = 62.5 feet
Including 5 feet extra
Border length needed = 62.5 feet - 5 feet
= 57.5 feet
Border needed = perimeter of the rectangle = 57.5 feet
Width of the rectangle = 12.25 feet
Length of the rectangle = x feet
Perimeter of a rectangle = 2(Length + width)
57.5 =2(x + 12.25)
57.5 = 2x + 24.5
57.5 - 24.5 = 2x
33 = 2x
x = 33/2
x = 16.5 feet
Length of the rectangle = 16.5 feet
funtion 1 is defined by the equation y= -2t+6 funtion 2 is defined by the line h shown in graph
which funtion has a more negative slope
on Khan academy
Answers
The table shows the time Phillip spent driving and the number of miles he drove. He drove the same number of miles each hour.How many miles did he travel each hour?
39 miles per hour
52 miles per hour
65 miles per hour
81 miles per hour
Answers
The price of a new car was £11 800
It is reduced to £10 384
Work out the percentage reduction.
Answers
Answer:
12 % reduction
Step-by-step explanation:
11800 - 10384 = 1416
1416 / 11800 = 0.12
0.12 × 100 = 12
The sum of two numbers is 88. The difference of those same two numbers is 60. Which answer choice
shows both numbers?
Answers
Step-by-step explanation:
Let the 2 numbers be X and Y
X+Y=88
X-Y=60
______
2X. = 148. X=74
Put the value of X to find Y
74+Y=88
74-Y = 60 :. Y = 14
=>X=74
=>Y=14
how much string is left when 1 and 3/4 in are cut from a piece measuring 3 and 1 /6 inches
Answers
There is 1.41666... (repeating decimal) string left when 1 and 3/4 are cut from a piece measuring 3 and 1 /6 inches.
Help please !!!! Show work for brainly tysm<3
Answers
Answer:
18 1/2
Step-by-step explanation:
110/3 - 109/6 = 220/6 - 109/6 = 111/6
111/6 simplified = 18 1/2
I am giving 100 points to whoever solves this first, I really need help please help!!!
Answers
Answer:
-7 (y-7)
Step-by-step explanation:
-11(-3-3x)
2/x-9 * 5/x-4
and i got that answer up there!
Answer:
[tex] {({x}^{ \frac{1}{6}})}^{9}\times \sqrt[6]{ {x}^{9} } \\ {x}^{ \frac{9}{6} } \times {x}^{ \frac{9}{6} } \\ {x}^{ \frac{(9 + 9)}{6} }\\ {x}^{ \frac{18}{6} } \\ \boxed{{x}^{3}}✓[/tex]
x³ is the right answer.two families go to the zoo
the smith family of two adults and three children pay £61
the jones family of three adults and five children pay £96
how much is one adult ticket and how much is one childrens ticket
Answers
Answer:
So adult tickets cost £17.00 and child tickets cost £9.00
Step-by-step explanation:
2a+3c=61
2a=61-3c
a=30.5-1.5c
...
3a+5c=96, using a found above we get:
3(30.5-1.5c)+5c=96
91.5-4.5c+5c=96
91.5+0.5c=96
0.5c=4.5
c=9, and since a=30.5-1.5c
a=17
So adult tickets cost £17.00 and child tickets cost £9.00
Answer:
The adult tickets cost £17.00 and child tickets cost £9.00
Step-by-step explanation:
2a + 3c = 61
2a = 61 - 3c
a = 30.5 - 1.5c
3(30.5 - 1.5c) + 5c = 96
91.5 - 4.5c + 5c = 96
91.5 + 0.5c = 96
0.5c = 4.5
c = 9
a = 30.5 - 1.5c
a = 17
The adult tickets cost £17.00 and child tickets cost £9.00
Samantha and Jerrod were at the park, sitting on a park bench together. They decided to look at a fountain on their way home. Jerrod got distracted, and went to go look at a flower on the way from the park bench to the fountain. Samantha went directly to the fountain. How much further did Jerrod walk than Samantha did? (Assume the locations form a right triangle) 17 yards 7 yards 8 yards
Answers
Answer:
Step-by-step explanation:
hdhf
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y = -x + 2
Step-by-step explanation:
[slope-intercept form] y = mx + b
m [slope] = ∆y/∆x = y₂–y₁ / x₂–x₁
b [y-intercept] = (0,b) → x = 0.
If y = 2 when x = 0, b = 2.
Since y decreases by 1 unit everytime x increases by 1 unit
a decrease by 1 unit is represented by -1, and an increase of 1 is represented by 1.
So a decrease of -1 over an increase of 1
is -1/1 = -1 = m.
Simplify:
1. ½(2r + 4) - ¼(16 - 8r)
2. (8x - 3) - (2x + 6)
3. (2 - 7y) - 3(y - 9)
4. 2(3x - 4) - (2x - 5)
Answers
Answer:
1. 3r - 2
2. 6x - 9
3. -10y + 29
4. 4x - 3
Step-by-step explanation:
i dont know how to explain. Sorry, i just learn about this today. I have the same exactly questions and here is the answer.
