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:
42
Step-by-step explanation:
Let the number be "x"
We translate the word equation to algebraic equation.
First,
subtract 6 from me, so we have:
x - 6
Now,
Multiply by 2, so we have:
2(x-6)
Now,
Subtract 40, then divide by 4:

Now, you get "8", so equate this to 8, we get:

We now solve using algebra:

The number is 42
This type of parabola opens either to the left or to the right. The negative makes it open to the left.
Answer:
diameter = 3,600 units
Step-by-step explanation:
Let
= 3.14
C = 2
r
11,304 = 2(3.14)r
r = 1,800
d = 2r = 2(1,800) = 3,600
Answer:
Its different.
Step-by-step explanation:
Henry's garden:
divide 24 and 18 by 6: you get 4:3 ratio of tomato:green bean
Simon's garden:
divide both 30 and 25 by 5: you get 6:5 ratio of tomato:green bean.