Answer:
The equivalent ratios are:
16:10
8:5
48:30
Step-by-step explanation:
It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.
given ratio is:
16:10
which simplifies to
8:5
We can observe that the second ratio will be same 8:5
Now,
Hence,
The equivalent ratios are:
16:10
8:5
48:30
The correct expression is (a) n = 100; (x + 10)^2
<h3>How to determine the value of n?</h3>
The expression is given as:
x^2 + 20x + n
Take the coefficient of x
k = 20
Divide by 2
k/2= 10
Square both sides
(k/2)^2 = 100
The above value represents the value of n
i.e.
n = 100
So, we have:
x^2 + 20x + 100
Expand
x^2 + 10x + 10x + 100
Factorize
x(x + 10) + 10(x + 10)
Factor out x + 10
(x + 10)^2
Hence, the correct expression is (a) n = 100; (x + 10)^2
Read more about trinomial at:
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The answer to the given question is as below:-
Polynomials:-
x³-7x²+9x-5x⁴-20
x⁵-5x⁴+4x³+2x-1
3x²-5x⁴+2x-12
Non-polynomial:-
x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1
![\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%20-%5Csqrt%5B3%5D%7Bx%7D%204%2B%5Csqrt%7Bx%7D-8x%2B16)
<h3>What are polynomials?</h3>
A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.
So the table will be formed as:-
Polynomials:- Non-polynomial:-
x³-7x²+9x-5x⁴-20 x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1
x⁵-5x⁴+4x³+2x-1
3x²-5x⁴+2x-12
Therefore the polynomials and non-polynomials are shown in the table above.
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Hence, there is 5 gallons of fuel Roselyn needed for her journey.
<u><em>The </em></u><u><em>number of trains</em></u><u><em> that arrived Dubai metro station on time is; 272 trains. </em></u>
<u><em /></u>
- We are told that 320 trains arrived the Dubai metro station in a week.
- Now, we are told that 5% got there early and 15% got there late.
This means, the percentage that got there on time is;
100% - % of trains that got there late.
- Therefore, percentage of trains that got there on time is;
100% - 15% = 85%
- Since 85% of the trains got there on time, then number of trains that got there on time is;
85% × 320 = 272
- Therefore, we can conclude that 272 trains arrived on time.
Read more at; brainly.in/question/33336249
