Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
- The length outer rectangle = l = 3x - 1
- The width of outer rectangle = w = 5x + 2
Thus,
The area of the outer rectangle:





<u>Calculating the area of the inner rectangle:</u>
Given
- The length inner rectangle = l = x + 7
- The width of inner rectangle = w = x
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
- The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9
1/3 of all students bring lunch
2:3 is the ratio of students who bring their lunch to the number of students who do not
Question:
Give all the x and y intercept of the function

Answer:
The x intercepts are x = 5 and x = -4
The y intercept is at y = -2
Step-by-step explanation:
Factorizing the numerator of the expression we find the x intercepts as follows;

Therefore, the x intercept are
x = 5 and x = -4
To find the y intercept, we put x = 0 to get y = -2
Therefore, the y intercept is at y = -2
Factorizing the denominator we find the values for which the equation is undefined
2·x³ + 2·x² - 34·x + 30 = 2·(x-1)·(x-3)·(x+5) which gives
x = 1, 3 and -5.
The answer is C because when you have similar radicals, you subtract the whole numbers. In this case 3 square root of 2 minus square root of 2, is doing 3 - 1 = 2.
2 square root of 2
Answer:
5. A
6. B
7. A
Step-by-step explanation: