Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
Answer:
x ≥ -2 2/3
Step-by-step explanation:
multiply each side by x-4, you get:
3x + 8 ≥ 0
3x ≥ -8
x ≥ -8/3
Based on the given values of briefcases presented, there is only a little chance that you would get the briefcase with the $500,000 considering that there are three. Therefore, the mathematically correct decision for this and why would be option A. <span>Take the $160,000, because it is greater than the expected value of the briefcases. Hope this answer helps.</span>
Answer:
t > 50
Step-by-step explanation:
sorry if this isn't the answer you want i don't know what the question is asking
