Answer:
Area = 5x^2 +7x -26
Step-by-step explanation:
The area of the shaded region can be found if you substruct the small rectangle from the big one. The area of any rectangle is calculated if you multiply width and height.
In other words:
A_small = (x-3)(x-6) = x^2-9x +18
A_big = (2x+2)(3x-4) = 6x^2 -2x -8
A_big - A_small = (6x^2 -2x -8) - (x^2-9x +18)
= 6x^2 -2x -8 - x^2 + 9x -18
= 5x^2 +7x -26
Answer:
Yellow: 50
Red: 25
Step-by-step explanation:
5:10
5 times 5 = 25
10 times 5 = 50
Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
- This concludes that the rate of change is contant i.e. $30 dollars per week
Therefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Answer:
15
If you simplify 25;15 then it is 5;3
Answer:
The smallest model - bottom right - in the question diagram represents ![\sqrt[3]{64}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%3D4)
.
Step-by-step explanation:
Considering the radical expression
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)
Lets simply this radical expression first
As
![=\sqrt[3]{4^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B4%5E3%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a,\:\quad \:a\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5C%3Aa%5Cge%200)
![\sqrt[3]{4^3}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%5E3%7D%3D4)
Therefore,
Now, as we can determine that . So, the smallest model in the question diagram represents as each face of the cube of the smallest model in the diagram - bottom right - has 4 squares.
Therefore, the smallest model - bottom right - in the question diagram represents .
Keywords: square cube root, radical expression
Learn more about radical expression from brainly.com/question/13984232
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