Answer:
-13, -3
15, 2.6
Step-by-step explanation:
x, y are the numbers
x = 5y + 2
x×y = 39
(5y + 2)×y = 39
5y² + 2y - 39 = 0
the solution of a quadratic equation :
y = (-b ± sqrt(b² - 4ac))/2a
a = 5
b = 2
c = -39
y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =
= (-2 ± sqrt(4 + 780))/10 =
= (-2 ± sqrt(784))/10 = (-2 ± 28)/10
y1 = (-2 + 28)/10 = 26/10 = 2.6
y2 = (-2 - 28)/10 = -30/10 = -3
x1 = 5×2.6 + 2 = 13 + 2 = 15
x2 = 5×-3 + 2 = -15 + 2 = -13
Answer:
c(h) = 40*h + 50
Step-by-step explanation:
Let h be the variable that represents the number of hours
As the cable operator charges $40.00 for an hour so for h hours, the expression will be 40*h
And
Lastly, he has to charge $50.00 must as service charge,
As the number of hours is variable here so the function will be in terms of hours.
So the resulting function will be:
c(h) = 40*h + 50
H = number of hamburgers sold.
c = number of cheeseburgers sold.
we know that "c" is three times the number of "h", thus c = 3h
we also know, the total amount sold for both is 556, h + c = 556
h + c = 556
c = 3h
thus
h + (3h) = 556 <---- solve for "h" to see how many hamburgers were sold.
what about "c"? well, c = 3h
If you know what the equation of the line IS(y=mx+b), then you can:
Substitute the x coordinate, slope and y-intercept into the line, then solve for y.
Hope this helped!
