Answer:
(4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))
Step-by-step explanation:
Simplify the following:
(x^2 + x - x - 20 - 12/x^2)/((15 x^2)/4 + 3 x^2 - 24 x - 60 - 48)
Hint: | Put the fractions in x^2 + x - x - 20 - 12/x^2 over a common denominator.
Put each term in x^2 + x - x - 20 - 12/x^2 over the common denominator x^2: x^2 + x - x - 20 - 12/x^2 = x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2:
(x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | Combine x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 into a single fraction.
x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 = (x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2:
((x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | Group like terms in x^4 + x^3 - x^3 - 20 x^2 - 12.
Grouping like terms, x^4 + x^3 - x^3 - 20 x^2 - 12 = x^4 - 20 x^2 - 12 + (x^3 - x^3):
(x^4 - 20 x^2 - 12 + (x^3 - x^3))/(x^2 ((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48))
Hint: | Look for the difference of two identical terms.
x^3 - x^3 = 0:
((x^4 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | In (45 x^2)/12, the numbers 45 in the numerator and 12 in the denominator have gcd greater than one.
The gcd of 45 and 12 is 3, so (45 x^2)/12 = ((3×15) x^2)/(3×4) = 3/3×(15 x^2)/4 = (15 x^2)/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2/4 + 3 x^2 - 24 x - 60 - 48))
Hint: | Put the fractions in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over a common denominator.
Put each term in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over the common denominator 4: (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 = (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4)
Hint: | Combine (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 into a single fraction.
(15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 = (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4)
Hint: | Group like terms in 15 x^2 + 12 x^2 - 96 x - 240 - 192.
Grouping like terms, 15 x^2 + 12 x^2 - 96 x - 240 - 192 = (12 x^2 + 15 x^2) - 96 x + (-192 - 240):
(x^4 - 20 x^2 - 12)/(x^2 ((12 x^2 + 15 x^2) - 96 x + (-192 - 240))/4)
Hint: | Add like terms in 12 x^2 + 15 x^2.
12 x^2 + 15 x^2 = 27 x^2:
(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + (-192 - 240))/4)
Hint: | Evaluate -192 - 240.
-192 - 240 = -432:
(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + -432)/4)
Hint: | Factor out the greatest common divisor of the coefficients of 27 x^2 - 96 x - 432.
Factor 3 out of 27 x^2 - 96 x - 432:
(x^4 - 20 x^2 - 12)/(x^2 (3 (9 x^2 - 32 x - 144))/4)
Hint: | Write ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) = (x^4 - 20 x^2 - 12)/x^2×4/(3 (9 x^2 - 32 x - 144)):
Answer: (4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))
Pls help.
5.2 Determine the Base from a Portion
a. The grocery store makes a 20% profit on baked goods. The profit for
baked goods last month was $600. What was the total sales for baked
good last month?
Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon would then have twice as much as Kande. How much does each one actually have?
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
Simon has more money than KandeS > K
if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
While if Kande gave Simon $22, Simon would then have twice as much as Kande;if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
4 Mr Franklin paid 145.76 for 0 gallons or
gas What is the price of 1 gallon of gas?
A $5.00
$5 16
B 06 07
D$5.05
Answer:
That doesn't make sense
Step-by-step explanation:
What is the product?
4
3x
5
The product written as an improper fraction is
2
The product written as a mixed number is 2
Answer:
The product written as an improper fraction is:
12
5 or 12/5
Step-by-step explanation:
4 x 3 = 12
5 5
Answer:
12/5
Step-by-step explanation:
3/4 5/6 16/25 9/15 smallest to largest
Answer:
All you need to do is find a common denomianatorand then solve from least to greatest hope this helps!
Step-by-step explanation:
To arrange thse fractions from smallest to greatest let us first change them into a fraction with a common denominator . Which means ;
= 3/4 = 225/300
= 5/6 = 250/300
= 16/25 = 192/300
= 9/15 = 180/300
Therefore , these fractions arranged from the smallest to the largest are :-
9/15 , 16/25 , 3/4 , 5/6 .PLEASEEEE HELP ME RIGHT NOW
What number is 10 times greater than 12,052
Answer:
120,520
Step-by-step explanation:
Answer:
120520
Step-by-step explanation:
because 12052*10
On Friday, the temperature changes -3celsius each hour. If the temperature changed for 7 hours, what is the total temperature change?
Answer:
-21 degrees
Step-by-step explanation:
How do you do this question?
Answer:
∫₁⁵ 2t (t² + t³) dt
Step-by-step explanation:
The area is ∫ₓ₁ˣ² y dx. To parameterize, replace x₁ and x₂ with t₁ and t₂. Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.
x = 5 + t², so dx = 2t dt.
∫₁⁵ (t² + t³) (2t dt)
∫₁⁵ 2t (t² + t³) dt
sylvia has three grandsons. carl is the youngest and is three years younger than ethan. scott is one year older than ethan. two years ago scotts age was twice the difference of ethan and carls age. how old are all three boys now?
Answer:
Carl is 4 year old
Scott is 8 year old
Etan is 7 year old
Step-by-step explanation:
Mark Brainliest Plz
Write the equation of the line with a slope of 3/4 and a y-intercept of -7 in slope - intercept and point -slope form.
slope intercept:
y=3/4x-7
point slope form:
I used the y intercept (0,-7) as a point to plug into point slope form.
y+7=3/4(x-0)
The linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
How to determine the line equation?The slope is given as:
m = 3/4
The y-intercept is given as:
c = -7
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = 3/4x - 7
The equation in point slope form is calculated as follows:
y = 3/4x - 7
Add 7 to both sides
y + 7 = 3/4x
Express 3/4x as 3/4(x)
y + 7 = 3/4(x)
Subtract 0 from x
y + 7 = 3/4(x - 0)
Hence, the linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
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Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180? (3 points)
Answer:
10.80
Step-by-step explanation:
Sales price x sales tax rate = sales tax
180 x .06 (6%) = 10.80
The amount of sales tax for the clothing that costs $180 is $10.8.
Given that,
Cost of a clothing = $180
We have to find the sales tax amount.
Sales tax is calculated as a percentage of the sales price.
Here,
Sales tax percentage = 6%
In order to find the actual sales tax amount, we have to multiply the cost with the percentage of sales tax.
Sales tax amount = 6% of 180
= (6/100) 180
= 0.6 × 18
= 10.8
Hence the sales tax amount is $10.8.
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if a cookie jar has 24 cookies how many cookies are left in the jar after eating some.How many cookies are in the jar after you have eaten 9 cookies?How many cookies are in the jar after you have eaten 9 and then eaten 3 more
Answer:
15&12
Step-by-step explanation:
24-9=15
15-3=12
Answer
if there is 24 cookies in the jar and 9 cookies are eaten 15 cookies will left and if 3 cookies are also eaten so 12 cookies will left.
Step-by-step explanation:
Which of the following described (5+5) in the expression above?
Answer:
10
Step-by-step explanation:
its 5+5
Is 2.72135 rational or irrational
Answer:
rational
Step-by-step explanation:
since 2.72135 is finite (has an ending), it can be written as a fraction, meaning it is rational.
Answer:
Rational
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
An example of multistage samples
Answer:
Multistage sampling divides large populations into stages to make the sampling process more practical.
Step-by-step explanation:
Let’s say you wanted to find out which subjects U.S. school children preferred. A population list a list of all U.S. school children would be nearimpossible to come by, so you cannot take a sample of the population.
An example of multistage samples is the Gallup poll.
What is the multistage sample?In this, we have to drawn the sample that should arise from the population that used the smaller and smaller group at every stage. It is applied for collecting the data from the large, and the group of people in national surveys.
The Gallup poll used multistage sampling. Like it randomly select a particular no of area codes after this randomly sample a no of phone numbers from within each area code.
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in the diagram to the left, if m∠aed=152° , find each angle measure
Answer:
Step-by-step explanation:
1). ∠1 and ∠2 are supplementary.
m∠1 + m∠2 = 180°
2). ∠1 and ∠2 are complementary angles.
m∠1 + m∠2 = 90°
3). If ∠1 and ∠2 are vertical angles,
m∠1 = m∠2 = 64°
4). ∠Q and ∠R are complementary angles.
m∠Q + m∠R = 90°
If m∠R = 73°,
m∠Q + 73° = 90°
m∠Q = 90° - 73°= 17°
5). m∠AED = 135°
a). Since, ∠AED and ∠AEC are supplementary angles,
m∠AED + m∠AEC = 180°
m∠AED = 152°
152° + m∠AEC = 180°
m∠AEC = 180° - 152° = 28°
b). m∠CEB + m∠AEC = 180°
28° + m∠CEB = 180°
m∠CEB = 180° - 28° = 152°
c). m∠FEC = m∠FEA + m∠AEC
= 90° + 28°
= 118°
Answer:
Step-by-step explanation:
A
Find all numbers whose absolute value is 9.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".
Answer:
|-9|,|9|
Step-by-step explanation:
Because all absolute values are positive, the only numbers that apply to your questionare 9 and |-9|
how to convert meters to centimeters
2m =cm
Answer:
Multiply by 100
2m=200 cm
Step-by-step explanation:
PLEASE PLEASE HELP FAST!!! I WILL GIVE YOU BRAINLIEST!
Solve.
2x + 4 3
B) x 1/3
D) x < 1/3
Answer: 2x + 43 is already solved and so is x 1/3 and x < 1/3
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
Find the equation of the line specified. The line passes through the points ( 2, 1) and ( 5, 4) a. y = x + 1 c. y = x - 1 b. y = -x - 1 d. y = x + 3
Answer:
b
Step-by-step explanation:
Answer: c) y = x-1
Step-by-step explanation: took test on edge
Maria finds a shirt on the clearance rack. It's original price was $75, but now it only costs $15. Find the percent of
change.
Answer:
80 percent off
Step-by-step explanation:
First find the difference in cost (75-15=60)
then divide the difference by the original price 60/75=.8
How do you do this question?
Answer:
7
Step-by-step explanation:
1 / ((n + 1) + 2)³ ≤ 0.001
1 / (n + 3)³ ≤ 0.001
(n + 3)³ ≥ 1000
n + 3 ≥ 10
n ≥ 7
What is -2/5 times 5/9?
Answer:
[tex]-\frac{2}{9}[/tex]
Please help!!!!!!!!!!!!!
Answer:
37, 3, 37
Step-by-step explanation:
A plane intersecting a double-napped cone is perpendicular to the central axis. Which conic section is formed?
Answer:
circle
Step-by-step explanation:
lol where teh f parabola come from
if it's perpendicular it makes a 90 degree angle to the central axis
that would make it a circle...
parabolas r when the plane forms the same angle w the central axis as the generator..............................
A conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to the central axis is a: A. circle.
What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, it refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
In Geometry, a circle is a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to the central axis because it forms an angle of 90° with the central axis.
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Rewrite 1/5 barrel 1/2hour as a unit rate
Answer:5/8
Step-by-step explanation:i took the exam
Bonnie bought a 13-pound turkey for $11.05. How much money di she pay for each pound of turkey?
Answer:way too much because chicken like turkey
Step-by-step explanation:turky is juste sleepyi chimken
10) Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles
per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Complete the table, and then write an equation to solve.
Hint: Distance equals rate times time. (d = rt)
Rate Time Distance
Answer:
Is this from VLA in ohio? Which school do you go to?
Let p: x = 4
Let q: y=-2
Which represents "lf x = 4, then y = -2"?
Opvg
орла
Op-9
O p +9
[tex]p\longrightarrow q[/tex].
Hope this helps.
If p (x=4) then q (y=-2), the conditional statement is "p → q".
The correct option is C.
What is a conditional statement?A conditional statement is a sentence with the syntax "If p, then q." Here, the letters "p" stands for "hypothesis" and "q" for "conclusion."
The statement "If x = 4, then y = -2" can be written as a conditional statement, where the hypothesis is "x = 4" and the conclusion is "y = -2".
The symbol for a conditional statement is "→".
Therefore, the answer is "p → q", which reads as "If p (x = 4) then q (y = -2)".
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