Answer:
Step-by-step explanation:
The total cost that farmer McHenry assumes to sell his tomatoes at the farmer´s market includes: the gas, the stand and the price tags. The expression is the following:
Total cost = $2,50 + $1 + $0.50
Total cost = $4
Farmer McHenry's revenue depends on the number of tomatoes he sells:
Revenue (t)= Price* t
Revenue (t)= $0.50(t)
To know how many tomatoes, he must sell so that the cost equals his revenue, you must equal both expressions and then find t:
$4=$0.50 (t)
t= $4/$0.50
t= 8
He must sell 8 tomatoes.
Answer:
Graph # 3
Step-by-step explanation:
-2x + 5y > 15 Let x = 0 solve for y
-2(0) + 5y = 15 change the > to an =
5y = 15
y =3 Point (0, 5) is on the graph
Graph # 3 is correct because the y-intercept is 5
x y
0 3 -2(0) + 5y = 15; 5y = 15
5 5 -2(5) + 5y = 15; -10 + 5y = 15; 5y = 25; y = 5
10 7 -2(10) + 5y = 15; -20 + 5y = 15; 5y = 35; y = 7
The graph > the line is dotted and you will shade above the line
370 weeks can also equal 7.09589041, if you need to simplify that just say 7 years
For a one-to-one function, f(x) = f(y).
So, lets find f(x) and f(y).
We know,
f(x) = (x - 2)³ + 8
Now,
f(y) = (y - 2)³ + 8
Now, we said earlier, for a function to be one-to-one, f(x) = f(y).
Therefore,
f(x) = f(y)
(x - 2)³ + 8 = (y - 2)³ + 8
(x - 2)³ = (y - 2)³
x - 2 = y - 2
x = y
Since we got x = y, we know for every x, there is one and only one y. Therefore, the function is one-to-one function.
Answer:
C) 15.92
Step-by-step explanation:
This is a right triangle, so we can use trig functions
tan theta = opp/ adj
tan 53 = x/12
12 tan 53 =x
15.92453786 =x