Answer:
.
Step-by-step explanation:
The relation between variable x and y is linear as the increase of y with respect to x is uniform.
That means the slope of the graph obtained from plotting the points on the coordinate plane is constant and it can be obtained by taking any two pairs of points.
Now, the equation of this straight line graph can be obtained from any two pairs of the given points.
Let us assume the points are (1,5) and (5,10)
Therefore, the required equation of the straight line is
⇒ 
⇒ 
⇒ 
⇒ . (Answer)
Answer:
Step-by-step explanation:
Answer: Required expression: ![\dfrac{[ (86) + 0.18 \times(86 ) + 0.06 \times (86 )]}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5B%20%2886%29%20%2B%200.18%20%5Ctimes%2886%20%29%20%2B%200.06%20%5Ctimes%20%2886%20%29%5D%7D%7B4%7D)
Each person need to pay =$ 26.66
Step-by-step explanation:
Given: Bill amount = $86
Tip percent = 18%
Sales tax = 6%
Now, total bill = (Bill amount ) + 18% of (Bill amount ) + 6% of (Bill amount )
= $[ (86) + 18% of (86 ) + 6% of (86 )]
= $[ (86) + 0.18 x(86 ) + 0.06 x (86 )]
Total persons = 3+1 = 4
Each person need to pay= 
![=\dfrac{[ (86) + 0.18 \times(86 ) + 0.06 \times (86 )]}{4}\\\\=\dfrac{[ (86) (1+ 0.18 +0.06 )]}{4}\\\\=\dfrac{86(1.24)}{4}=\dfrac{106.64}{4}=26.66](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5B%20%2886%29%20%2B%200.18%20%5Ctimes%2886%20%29%20%2B%200.06%20%5Ctimes%20%2886%20%29%5D%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5B%20%2886%29%20%281%2B%200.18%20%20%2B0.06%20%29%5D%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B86%281.24%29%7D%7B4%7D%3D%5Cdfrac%7B106.64%7D%7B4%7D%3D26.66)
So, each person need to pay =$ 26.66
<u>Given</u>:
The given graph represents the cost of the Kayak's rental per hour.
The coordinates are (2,30) and (3,45)
We need to determine the unit rate of renting per hour.
<u>Unit rate of renting:</u>
The unit rate of renting can be determined using the formula,
Substituting the coordinates (2,30) and (3,45), we get;
Simplifying, we get;
Dividing, we get;
Thus, the unit rate for renting a Kayak is $15 per hour.
Answer:
25x² + 144 = (5x + 12i) (5x - 12i).
Step-by-step explanation:
We have to factorize the expression 25x² + 144, using the complex number.
Now, 
can be treated as the complex number as there is negative value with in square root.
So, 
Therefore, we can write the original expression as
25x² + 144
= 25x² - (i²)(144)
= (5x)² - (12i)²
= (5x + 12i) (5x - 12i)
So, the factorization is 25x² + 144 = (5x + 12i) (5x - 12i). (Answer)
