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Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed.
Answers
Factorization of the given polynomial to find the product is as follows;
Factorizing;
[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} = \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]
[tex]\dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)}[/tex]
Expressing the product in terms of the factors
[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]
The steps arranged in the order in which they would be performed are;
First step;
[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4}[/tex]
↓
Second step (factorizing)
[tex]\dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]
↓
Third step (dividing out common terms)
[tex]\dfrac{(x + 5)}{(x + 2)} \times \dfrac{(x + 2)}{(x + 5)}[/tex]
↓
Fourth step (rearranging and removing terms that cancel each other)
1
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Related Questions
in the expression 8 ( x-y +b(x-y ; the common binomial factor is
Answers
Step-by-step explanation:
the common binomial factor is (x-y).
hope this helps you.
BC=8.5cm.
Angle ABC = 90°.
Angle ACB = 38°.
Work out the length of AB.
Give your answer correct to 3 significant figures.
Answers
Answer:
AB = 154
Step-by-step explanation:
Triangle Rectangle ABC = 90
Sen 38°=0.616 = 154/250
Sen 52°=0.788 =197/250
AC =250
AB = 154
BC = 197
how many distinct 9-digit numbers can you make from four "1", three "2", and two "3"?
Answers
Answer:
2520
Step-by-step explanation:
If a nine digit number contains exactly 4 one's, 3 two's and 2 three's
We can choose the positions of the 1's in P(9/4) ways.
We can choose the positions of the 2's from the five remaining positions in P(5/3) ways
We can choose the positions of the 3's from the two remaining positions in P(2/2) ways
In this problem order doesnt matter..
= (9!/5!×4!) × (5!/3!×2!) × (2!/2!×0!)
= 2520
Four graphs are shown below:
Which graph represents a positive nonlinear association between x and y?
Graph A
Graph B
Graph C
Graph D
Answers
It is graph A
what is the diameter of 12mm and 8mm
Answers
Answer:
diameter 12mm
Step-by-step explanation:
Please help!
What system of linear equations is shown in the graph? Enter your answers in the box.
Answers
Answer:
The equation of the line with a bold line:
slope = ( 0 - ( -1 ) ) / ( ( 2 - 0 ) )= 1/2
c = -1
Therefore, y <= ( 1 / 2 ) x - 1
The equation of the line with the dotted line:
slope = ( 1 - ( - 2 ) ) / ( 0 - 1) = - 3
c = 1
Therefore, y < - 3x + 1
Step-by-step explanation:
If there is any confusion please leave a comment below.
Help please! Solve the inequality.
Answers
Answer:
x≤-3 1/2 or x>1
Step-by-step explanation:
The way we solve this is we simply rearrange the equation using algebra.
Step 1) For the first inequality, subtract 1/2 from both sides. This gets x by itself and turns the RHS into -3 1/2.
Step 2) For the second, add 3 to both sides. Once again, x is by itself, and the RHS is equal to 1.
WORTH 100 POINTS IF YOU GET IT RIGHT IN THE NEXT FIVE MINUTES
Evaluate the expression when x=1/4 and y=1/2.
2(1/16+x2)+5y
Enter your answer as a mixed number in simplest form.
Answers
[tex]\displaystyle \sf Find : \\\\ 2 \left( \frac{1}{16}+x^2 \right)+5y =? \ \ ; \ \ If : x=\frac{1}{4} \ ; \ y=\frac{1}{2} \\\\\\ 2\left( \frac{1}{16} +\bigg(\frac{1}{4} \bigg) ^2\right)+5\cdot \frac{1}{2} =2\cdot \frac{2}{16} +\frac{5}{2} =\frac{1}{4} +2+\frac{1}{2} =\boxed{2\frac{3}{4} }[/tex]
Before it started to rain, Bobby cut 1 8 of the grass in his yard and Danny cut 1 5 of the grass in the yard. Both boys were disappointed because they were not able to cut the entire yard. Which statement is TRUE?
A) Together the boys didn't even cut half the yard.
B) The boys were able to cut more than half the yard.
C) The boys cut almost three-fourths of the yard.
D) Together the boys cut almost the entire yard.
Answers
Answer:
Option A is correct
Step-by-step explanation:
Bobby = 1/8
Danny = 1/5
Let's add up both fractions:
1/8 + 1/5 =
1*5/8*5 + 1*8/5*8 = (multiplying both the numerator and
5/40 + 8/40 = 13/40 denominator by the opposite denominator)
Together, they both cut 13/40 of the entire lawn.
Let's check each option:
A) Together the boys didn't even cut half the yard.
True, half of the yard is 20/40, and 13/40 < 20/40
B) The boys were able to cut more than half the yard.
False, half of the yard is 20/40, and 13/40 is not greater than 20/40
C) The boys cut almost three-fourths of the yard.
False, three-fourths of the yard is 30/40, and 13/40 is not close.
D) Together the boys cut almost the entire yard.
False, the entire yard is 40/40 and 13/40 is not close.
-Chetan K
Find the measure of each marked angle.
Answers
Answer:
x=64
Step-by-step explanation:
180=x+2+4x-142
180=5x-140
320=5x
64=x
Can somone help ill give you brainliest.
Answers
Find the GCF of 72 and 108.
Answers
Answer: the gcf of 72 and 108 is 36!
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
Its basically asking how many pennies there are.
The answer is 37.5=2.5x because x represents the number of pennies while 2.5 represents the weight. Hope this helps!
x=15, by the way.
Step-by-step explanation:
Which of the statements below are true? Select all that apply. A) (2, 2) is a point on the line shown B) (3,6) is a point on the line shown C) Each pack of gum costs $2.00 D) Each pack of gum costs $0.50.
Answers
Answer:
C)
Step-by-step explanation:
Please I need help 15 points
Answers
30000+25000= 55000, ur desired amount
Answer:
swimming pool wedding:10,000
Caribbean wedding:45,000
Step-by-step explanation:
55,000
- 10,000
= 45,000
Please Help me with this maths question
Answers
Step-by-step explanation:
formula to find volume of a cylinder => V= πr²h
(22/7×(3.5)²×12)cm³
462cm³.
now the total volume of plastic used is = 462×0.2 = 92.4cm³.
hope this helps you.
can someone please help me with this
Answers
Answer: 780
Step-by-step explanation: if right please mark as brainlest
1 9) y=--x + 3 3 *x y 2 # 54 B X there
Answers
the slope is -1/3 and since the slope is negative, the line goes the opposite way and you start at (3,0)
Brandon is going to the Sutter County Fair. Admission to the fair is $7, and each ride costs $2.
Write an equation that shows how the total amount Brandon spends, y, depends on the number of rides he takes, x.
Answers
The Answer: y = 2x + 7
What are the vertex and x intercepts of the graph of the function below
y=(x-4)(x + 2)
Answers
Answer:
x - intercepts: (4,0) and (-2,0)
vertex: (1/2 , - 17/2)
Step-by-step explanation:
Part A
To find the x-intercepts you have to set y=0
(x-4) (x+2) = 0
Separate the parenthesis. Solve for x
x-4 = 0
x= 4
x+2 = 0
x= -2
x - intercepts: (4,0) and (-2,0)
-------------------------------------------------
Part B
vertex formula for the x: coordinate : -b/2a
Expand the function.
y = 2x^2-2x-8
a = 2
b = -2
c= -8
-b/2a = -(-2)/2(2) = 1/2
vertex x- coordinate: 1/2
Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.
y = 2(1/2)^2 -2(1/2) -8
y = -17/2
vertex: (1/2 , - 17/2)
adding decimals
the sum of 32.11 + 109.14+ 3.67 =
Answers
Answer:
144.92
Step-by-step explanation:
32.11 = 032.11
3.67 = 003.67
032.11
109.14 +
003.67 +
______
144.92
______
plz help asap i beg u
Answers
Answer: (-1,4), (1,0), (0,3), (-2,3), (-3,0)
Step-by-step explanation: look at the dots on the plot
can someone please explain this
Answers
Answer:
D) 70 degrees
Step-by-step explanation:
A triangle angle's has a total of 180 degrees
180 - 40 = 140
140/2 = 70 (the other 2 angles are equvilent angles)
Brainly plz :)
Answer:
answer below
Step-by-step explanation:
every triangle has angle that, added together, equal 180 degrees.
if the given angle is 40 and the red lines tell you the sides are equal in length (both lines have only one red line so they are the same.), calculate the angles. (hint they are both the same amount of degrees.)
My process:
180-40=140
?+?=140
70+70=140
solution= 140 degrees
How much is 20-20? help me please
Answers
Answer:
the answers is20-20=0
Step-by-step explanation:
20 -
20
__
0
Answer:
Answer=20
Step-by-step explanation:
20 - 20
20/2=10
10-10=0
C: LOL
Evaluate the function
f(x) = - 2x^2 + 2x + 4
Find f(1)
Answers
Answer:
f(1) = 4
Step-by-step explanation:
f(x) = - 2x^2 + 2x + 4
f(1) = - 2(1)^2 + 2(1) + 4
f(1) = -2 + 2 + 4
f(1) = 4
calculate the shaded area
Answers
Answer:
640[tex]cm^{2}[/tex]
(I hope that I am right)
Step-by-step explanation:
The bigger shape :1. First, look at the triangle as a whole -Area of a triange : [tex]\frac{Base x Height}{2}[/tex]
30 x 48 = 1440[tex]cm^{2}[/tex]
1440 ÷ 2 = 720[tex]cm^{2}[/tex]
2. Now let's look at the small triangle -20 x 16 = 320[tex]cm^{2}[/tex]
320 ÷ 2 = 160[tex]cm^{2}[/tex]
The area of the bigger shape -720 - 160 = 560[tex]cm^{2}[/tex]The smaller shape :1. Let's look at the shape as a rectangle first -Area of a rectangle = Base x Height
20 x 16 = 320[tex]cm^{2}[/tex]
2. Now let's do the little triangle -20 - 30 = 10
10 x 16 = 160[tex]cm^{2}[/tex]
160 ÷ 2 = 80[tex]cm^{2}[/tex]
The area of the smaller shape -80[tex]cm^{2}[/tex]The Area Of The Shaded Area :560 + 80 = 640[tex]cm^{2}[/tex]A cell phone company has noticed that the probability of a customer experiencing a dropped call decreases as the
customer approaches a cell site base station. A company representative approached a cell site at a constant speed and
calculated the probability of a dropped call at regular intervals, and the probabilities formed the geometric sequence
08, 04.02,01,005. If the company representative continues calculating the probability of a dropped call, what will
be the next term in the sequence?
A
0.025
B)
000S
0.010
D)
0.0005
Answers
Answer:
The next term in the sequence is:
0.00221184
Step-by-step explanation:
We are given that:
A cell-phone company has noticed that the probability of a customer experiencing a dropped call decreases as the customer approaches a cell-site base station.
A company representative approached a cell site at a constant speed and calculated the probability of a dropped call at regular intervals, and the probabilities formed the recursive sequence:
0.6, 0.4, 0.24, 0.096, 0.02304.
as we can see third term is product of first two terms
fourth term is product of third and second term
fifth term is the product of fourth and third term
so, the next term in the sequence which is the sixth term will be the product of fifth and fourth term= 0.02304×0.096
= 0.00221184
Rational numbers can be written as either terminating or nonterminating decimals. What kind of nonterminating decimals are rational numbers?
Answers
Answer:
Non terminating recurring decimals
Step-by-step explanation:
Decimals can be categorised into two groups: Terminating and non-terminating. Terminating decimals are rational, and non terminating can be further divided into: Non terminating Recurring (which are rational) and Non terminating Non recurring (which are irrational).
The purpose of this document is to provide proof of identity and employment eligibility for the person being hired.
I-9 form
W-4
application
resume
Answers
please help me quickly
Answers
Answer: y= 2x - 2
Step-by-step explanation: