Answer:
y≤-1/3 (fraction)
And on the number line it will start from -1/3 (-0.333) and go less than -1/3 ( to the left, and it will be shaded
Step-by-step explanation:
First we expand the brackets, making it -15y+12≥17
Then we move 12 to the other side, making it negative, -15y≥17-12
Simplify, -15y≥5
Then we divide on both sides to isolate y, flipping the greater than sign to less than because when you divide or multiply by a negative number, the sign flips. y≤5/-15
Then we simplify by dividing the fraction by 5, making it -1/3. y≤-1/3
If you have any doubts, inform me
Answer:
D. 14.73
Step-by-step explanation:
According to Pythagoras,
19^2 = 12^2 + x^2
x^2 = 19^2 - 12^2
x^2 = 361 - 144
x^2 = 217
x = 
x = 14.73
The function is graphed as shown below
Part A:
We use the formula

to find the vertex of the function. A quadratic function of the form of

and equating this form to the given function

, we have

and

.
Substituting

and

into the vertex formula, we have

, as shown in the graph
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising





and

, as shown in the graph
The two values means that the company makes no profit when they either produce 5 or 15 photos