This expression of is identical to the statement in factored form of
4 (x² - 2x) 2 (x² - 3) is 2 (x - 1) (x – 3)
What is meant by equivalent?When two or more fractions can be reduced to one another, they are said to be equivalent. As an illustration, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which when simplified yield the same fraction, i.e. 1/5. Equivalent expressions are those that, despite appearing differently, perform the same operations. When the same value of the variable is entered, the results of two algebraic expressions that are equal have the same value.When writing equivalent fractions, the numerator and denominator are both multiplied or divided by the same number. This explains why these fractions combine to equal one number.Given,
4(x² – 2x) – 2(x² – 3)
We would first of all expand the expression given
This becomes
= 4x² - 8x - 2x² + 6
Rearrange to enable us simplify
4x² - 2x² - 8x + 6
= 2x² - 8x + 6
Factorize
2 (x² - 4x + 3)
factorizing further using the factors of 3 that add up to -4
2(x² - x - 3x + 3)
pick out the common factors
2 (x (x - 1) - 3 (x - 1)
2 (x - 1) (x - 3)
Hence, the correct answer is A) 2(x - 1) (x – 3)
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Cecily's teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends.
Complete question :
Cecily’s teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends.
Name
Paper Scroll
Cecily
A scroll labeled 6.7.
Marty
A scroll labeled negative 37.
Jon
A scroll labeled StartFraction 7 Over 9 EndFraction
Fiona
A scroll labeled 3 and one-third.
Who picked the winning scroll?
Cecily picked the winning scroll.
Marty picked the winning scroll.
Jon picked the winning scroll.
Fiona picked the winning scroll.
Answer:
Marty picked the winning scroll.
Step-by-step explanation:
Based on the rule given in other to win, the winning scroll is that which has integer value written on it.
An integer simply means a number devoid of fraction. Hence, it could be a positive or negative while number.
Given that the students pick below :
Cecily = 6.7 (not an integer)
Marty = - 37 (integer)
Jon = 7/9 (not an integer)
The only scroll which meets the condition of being an integer is Marty's scroll ; Hence, she picked the winning scroll.
Tina bought a painting while on vacation in 2009. The table below shows the value of the painting in2009,2010,and2011. If this trend continues, what will be the value of the painting in 2030?
Year: 2009, 2010, 2011
Value of painting: $75, $88.50, $104.43
A) $1,915.42
B) $2,044.19
C) $2,103.73
D) $2.279.55
E) $2,424,28
(The Year and value thing is a table, the first one listed on year goes with the first one listed on the value and so on)
Please help!!
Answer:
The answer is E
Step-by-step explanation:
We first are going to look at our first term on the table(the number that comes up first) which is $75.
Then we have to find the common factor. So, you divide the second number by the first number( 88.50 divided by 75 which gets us 1.18).
Now, since we found the first term and the common factor, we are going to have to find the exponent for our f(x) equation.
We know that she bought the painting in 2009! Now the problem is asking how much the painting will cost in 2030. So, you will subtract 2030-2009 which gets you 21! So 21 is your exponent!
Equation: F(x)= 75(1.18) ^21
The answer that you get is: $2424.28
Let me know if you have any questions!
:)
The value of the painting in 2030 would be $2424.28.
What is the value of the painting in 2030?From the given table, it can be observed that the painting increases in value over the years. Increase in value of the painting from 2009 to 2010 = ($88.50 / $75) - 1 = 18%.
The formula for determining the future value of the painting is:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
N = number of years
The value of the painting in 2030 = $75 x (1.18)^21 = $2424.28
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Can anyone answer this
Answer:
31.8
Step-by-step explanation:
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A D
Side B G
Side C E
Side D F
100 points "I am a brainly trusted helper" so (B-anabl-e/ P-unishabl-e O-ffence-s) Links, Non listed answers, I don't know.
Answer:
Since ABCD is a top face cube
EFGH is a buttom face cube
Now
Diagonal through interior is:
Side AG,CE,FD&BH
So your answer is:
Side C E
Side C ESide D F
explain why 51.2 divided by 6.4 has the same value as 5.12 / 0.64
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Answer:
Function 1 rate of change: 1/2
Function 2: 5/6
Function 2 has the greatest rate of change
Step-by-step explanation:
pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)
Find the value of h for the parallelogram to the right
BESTIES KINDA FAILING AT SCHOOL RN NEED YOUR HELP ASAP
Answer:
well this one is kind of obvious and you don't have to do any actual math with it. I'm 99% sure that when you have the two sets of coordinates you can find the slope. so the answer would be A. :)
Step-by-step explanation:
plz help 20 pints will give crown no links or wrong or trolling answers please
Answer:
Rock, Pop, Metal, Country
Step-by-step explanation:
Isn't it just the least probability of picking a certain CD to the most probability. Shows it all in the graph, I may be wrong.
Reason corp just issued a series of 24 year maturity bonds with a oar value of 1000 and a 5 % coupon, paid semianually the bonds can sell in the open market for 1175. Flotation costs on the new bonds
Answer:
the rate is 4.36%
Step-by-step explanation:
The computation of the pre tax cost of debt is shown below:
Given that
NPER = 24 × 2 = 48
FV = $1,000
PMT = $1,000 ×5% ÷ 2 = $25
FV = $1,175 - $80
= $1,095
The formula is shown below:
= RATE(NPER;PMT;-PV;FV;TYP
After applying the above formula, the rate is 4.36%
What is the equation of the line that passes through (1, -2) and (-1, 4)?
Answer:
Hi! The answer to your question is y=-3x+1
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
What is the variable of 1 + 4i = 5i + 10
Answer:
i = -9
Step-by-step explanation:
4i-5i =10 -1
-i= 9
i=-9
I need help on multi step Pythagorean theorem
Find the area of the figure round to the nearest tenth
Answer:
180 m
Step-by-step explanation:
What is (5, 10) reflected over the x-axis
Answer:
(5,-10)
Step-by-step explanation:
(5,-10) is reflected over the x-axis from (5,10)
Solve the following quadratic equation by factoring or Quadratic Formula.
x2 – 3x – 10.= 0
O{-2, 5}
O{-2, 10}
O{-5, 2}
O{-5, 4}
Answer:
A.
Step-by-step explanation:
x2 - 3x - 10. = 0
x2 + 2x - 5x - 10 = 0
(x2 + 2x) (-5x - 10) = 0
x (x + 2) - 5 (x + 2) = 0
(x - 5) (x + 2) = 0
x - 5 = 0 x + 2 = 0
x = 5 or x = - 2.
What is the circumference of a circle with a radius of 5.4 ft? Use 3.14 for π and round your answer to the nearest hundredth
Answer:
91.61
Step-by-step explanation:
A=πr2=π·5.42≈91.60884
hope this helps give me crown
5. Write 2/3 and 3/4 as equivalent fractions using a common denominator.
Answer:
8/12, 9/12
Step-by-step explanation:
2/3 = 8/12
3/4 = 9/12
Mhanifa or Anyone Answer this PLZ
Answer:
C) (3, 4)B) (-1, 9)Step-by-step explanation:
Use midpoint formula
x = (x₁ + x₂)/2y = (y₁ + y₂)/2#3
Endpoints (0, 0) and (6, 8)
Midpoint has coordinates:
x = 6/2 = 3, y = 8/2 = 4Point is (3, 4)Correct choice is C
#4
Endpoints (-5, 3) and (3, 15)
Midpoint has coordinates:
x = (-5 + 3)/2 = -1, y = (3 + 15)/2 = 9Point is (-1, 9)Correct choice is B
I need the answer for this please help me find X and Y
Answer:
x = 12
y = 60
Step-by-step explanation:
Remark
What you are given is a parallelogram. These figures have opposite sides equal and parallel. Parallelograms also have angles opposite each other equal. Put into simpler language
Equations
y = 60 Opposite angles are equal
x + 3 = 15 Opposite sides are equal.
Solution
y = 60 (see the remark)
x + 3 = 15 Subtract 3 from both sides
x = 15 - 3
x = 12
A rectangle has a perimeter of 100. Its length is 5a+225a+22 and its width is \frac{1}{2}\left(a+1\right)
2
1
(a+1). What is the value of a?
Uma mulher com prou 171 capacetes e 1/9 veio com defeitos quantos capacetes estavam perfeitos para uso
Responder:
152 capacetes
Explicação passo a passo:
Dado que:
Número de capacetes = 171
Fração com defeito = 1/9
Portanto, número de capacetes com defeito:
1/9 * 171 = 19 capacetes
Número de capacetes sem defeitos:
Número total de capacetes - número de capacetes defeituosos
171 - 19 = 152 capacetes
Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?
Answer:
$12.75
Step-by-step explanation:
8.75 + 3.50 = 12.25
25 - 12.25= 12.75
To construct a line graph, which of the following should not be done?
A. Arrange the data from least to greatest.
B. Number the vertical scale up to, or just past, the highest value.
C. Use the horizontal axis for units of time.
D. Add a title and label the axes.
Find the perimeter of the
polygon if ZB = ZD.
Answer:
Step-by-step explanation:
5+5+6+6+7+7+6+6=48cm
Le cratère d’un volcan a la forme d’un cône ; le fond du cratère est comblé de sédiments, un lac constitue la partie supérieure.
1) Le cône rempli de sédiments est une
réduction du grand cône. Calculer le
coefficient de réduction. DEJA REPONDU
2) Calculer le volume du cratère. DEJA REPONDU; le volume fait 2661845 m
3) En déduire le volume des sédiments.
4) Quel est le volume d’eau dans ce lac ?
i’m so confused- help please :) (no links)
Answer:
15
Step-by-step explanation:
Looking at the graph I see from 4-5 its a maximum of 10 students and the 6-7 has half the amount of 4-5 so that would be 15 added together for the amount of students who have more than 3 siblings
Hope this helps!
James earns 20 allowance every month and 30 for each a on his report card
PART A- Identify the independent and dependent variables
PART B- Write a function that describes the situation
f(x)
Answer:
Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.
Part B - y = 30x + 20
Step-by-step explanation:
Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.
Part B; The function for this situation is;
⇒ f (x) = 30x + 20
Where, x is number of report card.
What is mean by Function?
A relation between a set of inputs having one output each is called a function.
Given that;
James earns 20 allowance every month.
And, Earn 30 for each a on his report card.
Now,
Let number of report card = x
Then, We can formulate the equation as;
⇒ f (x) = 30x + 20
Where, x is number of report card.
Hence, The independent variable is monthly allowance and the dependent variables is earns in report card.
Thus,
Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.
Part B; The function for this situation is;
⇒ f (x) = 30x + 20
Where, x is number of report card.
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Assume that y varies inversely as x. If y = 16 when x = 4, find y when x = 6.