Simplify the expression
x^2 + 3x - 28/ x^2 - 7x + 12
Show your work.
Answers
Answer:
(x^4 + -4 x^3 + 12 x^2 - 28)/x^2
Step-by-step explanation:
Simplify the following:
x^2 + 3 x - 7 x + 12 - 28/x^2
Put each term in x^2 + 3 x - 7 x + 12 - 28/x^2 over the common denominator x^2: x^2 + 3 x - 7 x + 12 - 28/x^2 = x^4/x^2 + (3 x^3)/x^2 - (7 x^3)/x^2 + (12 x^2)/x^2 - 28/x^2:
x^4/x^2 + (3 x^3)/x^2 - (7 x^3)/x^2 + (12 x^2)/x^2 - 28/x^2
x^4/x^2 + (3 x^3)/x^2 - (7 x^3)/x^2 + (12 x^2)/x^2 - 28/x^2 = (x^4 + 3 x^3 - 7 x^3 + 12 x^2 - 28)/x^2:
(x^4 + 3 x^3 - 7 x^3 + 12 x^2 - 28)/x^2
Grouping like terms, x^4 + 3 x^3 - 7 x^3 + 12 x^2 - 28 = x^4 + (3 x^3 - 7 x^3) + 12 x^2 - 28:
(x^4 + (3 x^3 - 7 x^3) + 12 x^2 - 28)/x^2
3 x^3 - 7 x^3 = -4 x^3:
Answer: (x^4 + -4 x^3 + 12 x^2 - 28)/x^2
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if the recycling club collected 48 aluminum cans 3/4 of the cans was from 6th grade was 1/6 was from 7 grade and the rest was from 8th grade how many cans were collected by 8th grade
Eight friends share 4 bunches of grapes equally. What fraction of a bunch of grapes does each friend get?
In APQR, ZQ = ZP, RP = 13 and PQ = 19. Find the length of QR.
Answers
Answer:
48 kilometers.
Step-by-step explanation:
We have been given that the scale on a map stated that 1 cm corresponds to 30 kilometers.
Let us find the actual distance between two points, which are 1.6 cm apart on the map by multiplying 1.6 by 30.
Therefore, the two cities are 48 kilometers apart.
Answers
Answer: The answer is C. c = 60d - 0.05
Step-by-step explanation:
5 square root of 10
130
None of the above
Answers
Answer:
The answer is 8 square root of 5 end root plus 3 square root of 30
i.e
Step-by-step explanation:
Given the statement square root of 5 open parentheses 8 plus 3 square root of 6 close parenthesis i.e
Now by distributive property
implies
The simplified form of the expression is 8√5 + 3√30.
The correct is option B.
To simplify the expression √5(8 + 3√6), we can distribute the square root of 5 to both terms inside the parentheses:
√5(8 + 3√6) = √5 x 8 + √5 x 3√6
Multiplying the square root of 5 with 8 gives:
8√5 + √5 x 3√6
To simplify the expression further, we can simplify the multiplication of square roots:
8√5 + 3√(5 x 6) = 8√5 + 3√30
Therefore, the simplified form of the expression is 8√5 + 3√30.
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Perimeter = 58 cm, area = 209.25 cm2
Perimeter = 58 cm, area = 2,700 cm2
Perimeter = 210 cm, area = 2,700 cm2
Perimeter = 210 cm, area = 209.25 cm2
Answers
Answer with Step-by-step explanation:
The perimeter(P) and area(A) of a rectangle is given by:
P=2(l+w)
A=lw
Where l is the length and w is is the width of the rectangle
original length and width
l=8 cm
w=6 cm
New length and width
l'=8×7.5=60 cm
w'=6×7.5=45 cm
P=2(60+45)
=210 cm
Area=60×45
=2700 cm²
Hence, Correct option is:
Perimeter = 210 cm, Area = 2,700 cm²
P=2(L+W)
A=LW
original L and W
L=8cm
W=6cm
new
nL=8*7.5=60cm
nW=6*7.5=45cm
newP=2(60+45)=2(105)=210cm
newA=(60)(45)=2700cm^2
3rd from top is answer
Answers
The sequence is:
3²,x,3^8,3^16
==>x=3^4=81
Answers
The required simplified value of the t in the given proportion is given as t = 48.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given the expression of proportion,
t/16 = 40 / 50
t / 60 = 4 / 5
Multiply both sides by 60,
t / 60 × 60 = 4 / 5 × 60
t = 4 × 12
t = 48
Thus, the required simplified value of the t in the given proportion is given as t = 48.
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50t = 40 x 16
50t = 640
t = 640/50
t = 12.8