Answer:
The range is:
(−∞,1]
Step-by-step explanation:
:
The domain of
f(x)is R
So for every x that you put in the function, y≤1 that means is the upper bound of the function.
<span>x = number of entries
55x + 10000 - 15x ≥ 55000
First, subtract 10000 from each side
55x - 15x ≥ 45000
Now, we can combine 55x and 15x because they've both got the same variable attached
40x ≥ 45000
Now divide each side by 40 to isolate x (which is the number of entries)
x ≥ 1125
The race needs at least 1125 entries to raise at least $55,000.</span>
There would be a 16% chance of the widgets being defective and there is an 84% chance of the widgets not being defective.
Answer:
The correct answer is 7 : 8.
Step-by-step explanation:
There are 14 girls and 2 boys taking karate lessons.
Total number of students taking the karate class is 16.
The ratio that compares the number of girls taking karate lessons to the total number of students taking karate lessons is given by 14 : 16 = 7 : 8.
This can be interpreted as for every 8 students in the karate lesson, 7 of them are girls.
Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
