Find the least common multiple (LCM) of 2x^4 – 6x^3 – 8x^2 and 4x^3 – 4x.
You can give your answer in its factored form.
Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \text{1. \: First \: expression} : \tt{2 {x}^{4} - 6 {x}^{3} - 8 {x}^{2} }[/tex]
⤑ [tex] \tt{2 {x}^{2}( {x}^{2} - 3x - 4) }[/tex]
⤑ [tex] \tt{2 {x}^{2} \{ \: {x}^{2 } - \: (4 - 1)x - 4 \} }[/tex]
⤑ [tex] \tt{2 {x}^{2} \{ {x}^{2} - 4x + x - 4 \} }[/tex]
⤑ [tex] \tt{2 {x}^{2} \{ x(x - 4) + 1(x - 4) \} }[/tex]
⤑ [tex] \tt{2 {x}^{2} (x - 4)(x + 1)}[/tex]
[tex] \text{2. Second \: expression} : \tt{4 {x}^{3} - 4x }[/tex]
⤑ [tex] \tt{4x( {x}^{2} - 1)}[/tex]
⤑ [tex] \tt{4x(x + 1)(x - 1)}[/tex]
L.C.M = Common × Remaining
= ( x + 1 ) × ( x - 1 ) × ( x - 4 ) × 2x² × 4x
= 8x³ ( x + 1 ) ( x - 1 ) ( x - 4 )
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt \: 8 {x}^{3} (x + 1)(x - 1)(x - 4)}}}}}}[/tex]
Hope I helped !
Have a wonderful day / night !
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Related Questions
Please help will give Brain!!
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Answer:
its 35
Step-by-step explanation:
look at the triangles see how the lines are the same amount? its dilation meaning it is still 35 but a smaller triangle at the process.
Given the angle shown below, what is the location of the reflected angle's vertex after a reflection over the line has occurred? (attachment)
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Answer:
(-2,-2)
Step-by-step explanation:
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Answer:
y = 5x
Step-by-step explanation:
Write each product in standard form. (y+ 9)(y+ 9)
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Answer:
y² + 18y + 81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(y + 9)(y + 9)
Step 2: Expand
FOIL: y² + 9y + 9y + 81Combine like terms: y² + 18y + 81Joe's Hot Dog Stand is only open for lunch. Of today's sales, 26% came from selling plain hot dogs. Since the hot dog stand made $45.50 from selling plain hot dogs, it made $ in total sales for the day
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Total sales for the day is $175.
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Answer:
16.2 U.S. Dollars - I hope this helps! :D
Step-by-step explanation:
which statements correctly describe the point plotted on the coordinate plane?
somdbody help me please.
can somebody help me please
Answers
Answer:
A and D are correct!
Step-by-step explanation:
The origin is 0,0
The x axis is the one that R is on right now
The correct statements are,
A) The point is 3 units right to the origin.
D) The x coordinate is 3.
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The point R is shown in graph.
Nom,
Since, The point R is shown in graph.
Clearly, The coordinate of R = (3, 0)
So, We have;
⇒ The point R is 3 units right to the origin.
And, The x coordinate is 3.
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if y varies direckly as x and y =12 when x = 4, find y when x = 12.
Answers
Joseph owns a pizza restaurant. He sells pizzas for $15 each and charges $8 for delivery. What would your total cost be if you had p pizzas delivered?
Answers
Answer:
y = 15x + 8
Step-by-step explanation:
Hey there!
15x represents 15 times how many ever pizzas you order and 8 is for the delivery cost.
Hope this helps!
Can you solve the equation?
Answers
Answer:
x=3 and 9
Step-by-step explanation:
; x-3=0
x=3 (change side change mark)
and
[tex] \frac{2}{3} x - 6 = 0[/tex]
[tex] \frac{2}{3} x = 6[/tex]
[tex]x = 6 \times \frac{3}{2} [/tex]
change side change mark.
So, x=9
If u wanna check the answer you can check by substitution x=3 and 9 in equation.
hope it helps you ☺️
In a right triangle ABC, C is the right angle. What does sinA equal?
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B) sin(90°- A)
C) cosB
D) Both A and C are correct
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Given the graph below, the equation in slope-intercept form is
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Answer:
F(x)=-1x-5
Step-by-step explanation:
The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.
The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?
Question 8 options:
7
14
6
3
Answers
Answer:
C. 6Step-by-step explanation:
Given
S = n² + nS = 42, n = ?Substitute and solve for n:
42 = n² + nn² + 2*1/2n + 1/4 = 42.25(n + 0.5)² = 42.25n + 0.5 = √42.25n + 0.5 = 6.5n = 6Correct option is C
Answer:
C. 6
Step-by-step explanation:
Rhonda purchased a pair of shoes for $36
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Answer:
40 units
Step-by-step explanation:
3+10+3+4+6+(unknown side: 10+4=14) = 40 units
The perimeter would be 38 units.
Explanation:
Add up all sides. 3+10+3+4+6= 24 now we solve for x which is the unmarked side. You would add both of the top lines to find your answer. 10+4= 14. Now add up both totals, 24+14= 38 units as your final answer.
Uhhhh last question lol I have to match them
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Answer:
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8. is -6x - 24
9. is 15m - 30
10. is 24p - 28
11. is 5b - 5
12. 5x + 45
RULE:
WHEN MULTIPLYING TWO NEGATIVES YOU WILL GET POSITIVE.
IF ONE IS NEGATIVE AND THE OTHER IS POSITIVE WHEN MULTIPLYING IT WILL BE NEGATIVE.
WHEN MULTIPLYING TWO POSITIVE NUMBERS IT WILL ALWAYS BE POSITIVE
SAME THING IF YOU MULTIPLY A POSITIVE NUMBER WITH A NEGATIVE NUMBER YOU GET A NEGATIVE AS YOUR ANSWER
YOU NEED ONE SIGN OF THE SAME WHEN MULTIPLYING TO BE A POSITIVE AS YOUR ANSWER
YOU NEED ONE SIGN TO BE DIFFERENT FROM THE OTHER WHEN MULTIPLYING TO GET A NEGATIVE AS YOUR ANSWER
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24p-28
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5x+45
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Answers
Answer:
??????????????
Step-by-step explanation:
Ummm is that a equation??? If so ill try.....
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Answer:
2/1 I think but i don't know
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Answers
Answer:
12
Step-by-step explanation:
18/3=6
so Tadashi ate 6 dumpling; the other 12 Able ate
Answer:
12
Step-by-step explanation:
Sine Tadashi eats one third, you have to divide the total amount of dumplings by three.
18/3=6
Tadashi eats 6 dumplings, so to find out how many Abel eats you have to subtract 6 from the total number of dumplings.
18-6=12
Abel ate 12 dumplings
Divide -4/17 by -3/4
Answers
Answer:
16/51
Step-by-step explanation:
simplify -4/7 divided by -3/4
then you will get -16/51 but you have to add the rule so its 16/51
I hope this is the correct answer
The value of Rita's house increased by 5%.
Her house then had a value of £210 000.
Work out the value of Rita's house before the increase.
Answers
Answer: £200,000
Step-by-step explanation:
From the question, we are informed that the value of Rita's house increased by 5% and that her house then had a value of £210 000.
The value of Rita's house before the increase will be calculated as:
= 210,000 ÷ (100% + 5%
= 210000 ÷ 105%
= 210000 ÷ 105/100
= 210000 × 100/105
= £200,000
what is 1.0×10 to the power of 14 in scientific notation
Answers
Answer: 100,000,000,000,000
Step-by-step explanation:
1.0 x 10^14
since the exponent is positive that means we move the decimal to the right 14 times and you should get 100000000000000.0
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Answers
Answer:
2.4
Step-by-step explanation:
An easy way to find this is via division.
24 ÷ 10 = 2.4 | therefore,
2.4 × 10 = 24
Answer:
2.4
Step-by-step explanation:
"something" = x
10x = 24
divide both sides by 10
10x/10 = 24/10
x = 2.4
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Answer:
1/12
Step-by-step explanation:
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Answer:
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Answer:
Yes, k=0.5
Step-by-step explanation:
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Write the equation of a line that goes through (4,3) and has a slope of m=2
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, then
y = 2x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = 8 + c ⇒ c = 3 - 8 = - 5
y = 2x - 5 ← equation of line
Select all expressions that are equivalent to 6x + 1 - (3x - 1).
Select one or more:
a. 6x - 3x + 1 - 1
b. 6x + 1 + -3x - -1
c. 6x + -3x + 1 + 1
d. 3x + 2
e. 6x + 1 - 3x - 1
Answers
Answer: B, C, D
Step-by-step explanation:
6x + 1 - (3x -1)
=> 6x + 1 - 3x + 1
=> 3x + 2
So Answers: B, C, D
The expression that should be equivalent to 6x + 1 - (3x - 1) is option B, C, D.
Calculation of the expression:Since the equation is 6x + 1 - (3x - 1)
So,
6x + 1 - (3x -1)
6x + 1 - 3x - (-1)
6x + 1 -3x + 1
And, 3x + 2
Therefore, we can conclude that The expression that should be equivalent to 6x + 1 - (3x - 1) is option B, C, D.
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