Answer:
26 days
Step-by-step explanation:
If 6 days = rs. 2130
then 1 day = (2130 × 1) ÷ 6
Therefore 1 day = rs 355
For rs. 9230, the number of days he worked:
= 9230 ÷ 355
= 26 days
Answer:
Diameter of pound = 10 yd
Step-by-step explanation:
Given area of circular pond = 78.5 square yd
To find the diameter of the pond.
Solution:
The pond being circular in shape, the area of pond can be given as:
⇒ 
where 
represents radius of the pond.
Thus, we have:
⇒ 
Using 
⇒ 
Solving for
Dividing both sides by 3.14
⇒ 
⇒ 
Taking square root both sides.
⇒ 
⇒ 
So, radius = 5 yd, as distances are always positive.
Diameter = 
Thus, diameter of pound = 10 yd
Answer:
4 inches per second
Step-by-step explanation:
Speed = distance/time
Given
Distance = 20 feet
12 inches = 1 foot
X inches = 20 feet
X = 20 x 12 = 240 inches
Time = 1 minute = 60 secs
Therefore
Speed = 240/60
= 4 inches per second
<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
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
