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))
Find the missing side of the triangle !!!
HELP MEEE!!!!!!!!!!!!!!
x-13=62 idk know it
PLEASE HELPP!!!!! Will mark you as Brainliest!!!!
Answer:
Yes! if this was an option then this one would be correct
Step-by-step explanation:
In order to see if the ordered pair are a function you could graph them, or you could look at the x-values and see if there are any duplicates. in this case there are not.
High Hopes^^
Barry-
20 + 3 (7 + 4) + 5 + 2 (7 + 9)
Answer:
90
Step-by-step explanation:
i did the math hope this helps you out
A train travels 100 miles per minute. One mile is about 1.61 kilometers and 1 hour is 60 minutes.
Convert train's speed in kilometers per hour?
Answer:
9660 kn per hour
Step-by-step explanation:
4 less than a number n is −15.
Answer:
n-4= -15
Step-by-step explanation:
"4 less than a number n" is represented by n-4.
it says it "is" -15, so this equals -15.
n-4= -15
I need help please! this is on EDGE2020 !
Answer:
D
Step-by-step explanation
A. there are 6 triangles so not this
B. Only 2 rectangles
C. 6 triangles once again
D. everything matches
Answer:
for every 6 triangles there are 2 rectangles
A fraction is ?
Please help
Answer:
In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole
Answer:
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
Select the choice that translates the following verbal phrase correctly to an algebraic expression: (5 points)
4 more than x
Answer:
x+4
You're just adding 4 to x
Solve for x: x + b = C
Answer:
x=C-b
Step-by-step explanation:
Subtract b from both sides to get x alone.
1.) Expand and simplify (6x-7)+(x-3)+(4x-5) *
a.)11x-5
b.)11x-15
c.)10x-15
d.)10×1
Answer:
the answer is b 11x-15
Step-by-step explanation:
your collecting like terms then combining them
What is an equation of a line with slope −2/3 and a y-intercept of −4?
Write the expression in simplest form
50 - 62c +38-43c I’m confused on how to solve this problem need help ASAP
Answer:
88 - 105c
Step-by-step explanation:
Hey there!
Step 1: Collect like terms.
(50 + 38) + (-62c - 43c)
Step 2: Simplify.
88 - 105c
~I hope I helped you! :)~
Answer: 88-105c
Step-by-step explanation:
Combine like terms
A jar that contains quarters and dimes is worth $7.15. If there are a total of 40 coins,
how many of each type of coin is there?
Answer:
21 quarters and 19 dimes
Step-by-step explanation:
Create a system of equations where q is the number of quarters and d is the number of dimes.
0.25q + 0.1d = 7.15
q + d = 40
Solve by elimination by multiplying the bottom equation by -0.25
0.25q + 0.1d = 7.15
-0.25q - 0.25d = -10
Add them together and solve for d:
-0.15d = -2.85
d = 19
Then, plug in 19 as d into the second equation to solve for q:
q + d = 40
q + 19 = 40
q = 21
So, there are 21 quarters and 19 dimes
Answer:
21 Quarters, 19 Dimes.
Step-by-step explanation:
21 x .25 = 5.25
19 x .10 = 1.90
5.25 + 1.90 = 7.15
Can someone plz help me
Answer:
Your table might look something like this:
The dads steps:
3
6
9
12
15
18
Sons steps:
5
10
15
20
25
30
You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.
Step-by-step explanation:
The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:
3:5
Then x2
6:10
Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3
9:15
Then I could take 9 and 15 and x5
45:75
It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.
So you get the idea.
It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.
Solve x^2 - 4x +18= 0 by completing the square.
Answer:
Your answer is: x = 2 ± i√14
Step-by-step explanation:
Hope this helped : )
What are the partial products of 73 × 8
The partial products of 73 x 8 is = 584
What is partial product?The partial products algorithm allows students to multiply two long numbers fast and easily by breaking down a more challenging product into a series of simpler problems.
Steps to calculating the partial product for 73 x 8(70 +3 ) * (8)
= 70 x 8 = 560 and ;
= 3 x 8 = 24
Step 2 - Add all the products together
560 + 24 = 584
Learn more about partial product at:
https://brainly.com/question/24716925
#SPJ2
PLEASE ANWSER RIGHT AND U WILL GET BRAINLIEST the fraction 5/4 is an example of an improper fraction a proper fraction or a mixed number
Answer:
It is a proper fraction
Step-by-step explanation:
A pyramid has a square base with an area of 169 ft.2. What is the perimeter of the base of the pyramid?
Answer:338
Step-by-step explanation:
169/2 = 84.5 (base is 84.5) 84.5 * 4 (sides) = 338
Answer:
:)
Step-by-step explanation:
52
Sq rt(169) - 13
13 is the side length
13*4=52
Solve for x.
bx-10=8
Answer: x = 18/b
................................
Answer:
you can put your answer as 9 or 2
Step-by-step explanation:
what is midpoint if tu =4× and uv =X +9
Answer:
12Step-by-step explanation:
Given
TU = 4xUV = x + 9Finding the value of x
TU = UV4x = x+93x = 9x = 3Midpoint = 4x = 4*3 = 12
Can somebody help me find the perimeter of this figure?
Answer: P = 64in,
Step-by-step explanation: P = 17 + 13 + 25 + 9
I need help on this ASAP
Answer:
ITZ A
Step-by-step explanation:
How many liters are in 260 ounces?
Answer:
7.68912
Step-by-step explanation:
wolverine and cyclops ordered large pizzas for dinner. Wolverine ate 1-3/8 pizzas and cyclops ate 1/12 of a pizza. which of the following statements is true
Answer:
What statements are you talking about
Step-by-step explanation:
one more than a number
Answer:
x+1
Step-by-step explanation:
You purchased a stock at a price of $51.17. The stock paid a dividend of $1.75 per share and the stock price at the end of the year was $56.79. What was the total return for the year?
Answer: i think it is 109.51
Step-by-step explanation:
Which equation has exactly one solution?
A. 4x – 4 + 2x = 6x - 4
B. 3x + 5 = 2x - 6
C. 2(4x + 5) = 8x + 10
D. 4x - 8 = 4(x - 4)
Answer:
its B
Step-by-step explanation:
I calaulated all the numbers
The area of the top face of a cube is 16 square inches. Use 8 of these cubes to make a rectangular
prism. What is the volume of the rectangular prism? Hint: The shape of each face of a cube is a
square.
Answer:
The volume of the rectangular prism is 512 inches³
Step-by-step explanation:
Any cube has 6 square faces
Area of any square = L × L, where L is a length of each side
The volume of the cube = L × L × L
∵ The area of the top face of a cube = 16 inches²
→ Find which number multiply by itself = 16
∵ 16 = L × L
∵ 16 = 4 × 4
∴ L = 4 inches
Let us find the volume of 1 cube
∵ The volume of the cube = L × L × L
∵ L = 4 inches
∴ The volume of each cube = 4 × 4 × 4
∴ The volume of each cube = 64 inches³
∵ We will use 8 of this cube to make a rectangular prism
→ That means the volume of the rectangular prism is 8 times
the volume of 1 cube
∴ The volume of the prism = 8 × volume of 1 cube
∵ The volume of each cube = 64 inches³
∴ The volume of the prism = 8 × 64
∴ The volume of the prism = 512 inches³
The volume of the rectangular prism is 512 inches³
0.00062 as a scientific notation
Answer:
6.2 x 10^-4
Step-by-step explanation:
Since it is a decimal you would move the decimal point to the right. Making the exponent a negative number.
