Answer:
1/(11 x^(9/2) y^4 z^5)
or
sqrt(x)/ 11 x^5 y^4 z^5
Step-by-step explanation:
1/ sqrt(121x^9y^8z^10)
Lets simplify the denominator
sqrt(121x^9y^8z^10)
Break it into pieces
sqrt(121) sqrt(x^9) sqrt(y^8) sqrt(z^10)
11 sqrt (x^8) sqrt(x) y^4 z^5
11 x^4 y^4 z^5 * sqrt(x)
Putting this back in
1
----------------------------
11 x^4 y^4 z^5 * sqrt(x)
But we dont want a sqrt root in the denominator
Multiply by sqrt(x)/sqrt(x)
sqrt(x)
----------------------------
11 x^4 y^4 z^5 * sqrt(x) sqrt(x)
sqrt(x)
----------------------------
11 x^4 y^4 z^5 * x
sqrt(x)
----------------------------
11 x^5 y^4 z^5
Answer:
53$
Step-by-step explanation:
They tell you the equation of how much the coin is worth after x amount of years
Step 1: Substitute x=19 into the equation y=2x+15
y = 2(19) + 15
Step 2: Solve for y
y = 2(19) + 15
y = 38 + 15
y = 53
Therefore the coin is worth 53 dollars after 19 years
These are 2 questions and 2 answers:
<span>1.
Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x -
14. What are the possible dimensions of the carpet? Use factoring.
Answer: 5x^2 -3x -14
Explanation:
You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.
I will show you how to factor that polynomial from zero:
1) given: 5x^2 - 3x - 14
2) multiply and divide by the leading coefficient =>
5 [5x^2 - 3x -14 ]
----------------------
5
3) Enter the the factor 5 inside the parenthesis:
5.5x^2 - 5.3x - 5.14
--------------------------
5
4) rearrange conviniently to show (5x) as a common factir of the first two terms
(5x)^2 - 3(5x) - 70
--------------------------
5
5) factor the numerator using 5x as common term of the two binomials:
(5x ) ( 5x ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7) <---> two numbers that add up - 3 and their product is - 70
=>
(5x - 10)(5x + 7)
---------------------
5
6) divide (5x - 10) by 5 => x - 2
7) factored expression
(x - 2) (5x + 7)
8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)
2. Question 2. The area of a rectangular barnyard is given by the trinomial 6x^2 +
7x – 20. What are the possible dimensions of the barnyard? Use factoring
Answer: </span><span><span>option C. (2x + 5)(3x - 4)</span>
Explanation:
The procedure is the same of the question 1.
1) given: 6x^2 + 7x - 20
2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>
(6x)^2 + 7(6x) - 120
--------------------------
6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:
(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)
=>
(6x + 15)(6x -8)
---------------------
6
(6x + 15)(6x - 8)
---------------------- =
3.2
(6x + 15) (6x - 8)
------------- . ------------ =
3 2
(2x + 5)(3x - 4)
4) answer: option C. (2x + 5)(3x - 4)</span>
Answer:
b. Subtracting the base period amount from the analysis period amount, dividing the result by the base period amount, then multiplying that amount by 100%
Step-by-step explanation:
A percentage change can be computed from ...
((new amount) -(old amount))/(old amount) × 100%
This best matches the description of choice B.
_____
<em>Comment on the answer</em>
The formula offered in the question will show the "percent change" from 100 to 103 as 3. It is not 3; rather, it is 3%. The final multiplication must be by 100% in order to arrive at the proper number.
Answer:
should be 80, angle 50 is congruent on both sides to 50+50 equals 100. The triangle sum theorem says a triangle adds up to 180 degrees so we are left with 80, X=80 degrees
