Answer:
x ∈ [-2, 7]
Step-by-step explanation:
The given equation ...
x^2 -5x -4 ≤ 10
can be rewritten as ...
x^2 -5x -14 ≤ 0
and factored as ...
(x +2)(x -7) ≤ 0
Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.
x ∈ [-2, 7]
Answer:
r = 3.
Step-by-step explanation:
16 = 10 + √(3r + 27)
√(3r + 27) = 6
Square both sides:
3r + 27 = 36
3r = 36 - 27 = 9
r = 3.
Check the result:
Left side of the equation = 16
Right side = 10 + √(9 + 27)
= 10 + √36 = 16
Answer:

Step-by-step explanation:
To find what percentage a certain value is of another value, simply divide the first value by the second, respectively.
We want to find want percentage that 7,562.5 is of 275,000. Therefore, we will divide 7,562.5 by 275,000 to obtain a decimal:

To convert from a decimal to a percentage, multiply by 100:

10 + 15x + x + 10
= 16x + 20
Answer:
The perimeter is 41
Step-by-step explanation:
The perimeter of a shape is just the sum of all its sides added up. In this case, that would mean the perimeter is:
- 12 + 9 + 9 + 4.6 + 6.4 = P
- 30 + 11 = P
- 41 = P
Hope this helps!