Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads
Step-by-step explanation:
(1, 0.80) represents the unit rate.
(25, 20) represents the price of a necklace with 25 beads.
= unit rate →
= 0.80;
= 0.80;
= 0.80
Point (1, r) → (1, 0.80) represents the unit rate.
25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.
Hope this helps
Answer:
x = 3.1 %
Step-by-step explanation:
Let x be the slope the track.
Given:
Distance between station A and B = 270 ft
Track rise = 
We need to find the slope of the railway track between station A an B.
Solution:
The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
We know that slope of the railway track is equal to gradient of the tracks.
So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.


x = 3.1 %
So x = 3.1 % less than the maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
Therefore, x = 3.1 % meets the rapid-transit rail standards.
<u><em>Answer:</em></u>
A. (3x²-4x-5)(2x⁶-5)
<u><em>Explanation:</em></u>
<u>The fundamental theorem of Algebra states that:</u>
"A polynomial of degree 'n' will have exactly 'n' number of roots"
We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree
<u>Now, let's check the choices:</u>
<u>A. (3x²-4x-5)(2x⁶-5)</u>
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.
<u>B. (3x⁴+2x)⁴</u>
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.
<u>C. (4x²-7)³</u>
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect
<u>D. (6x⁸-4x⁵-1)(3x²-4)</u>
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect
Hope this helps :)
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50