Answer:
Step-by-step explanation:
Let t and d represent the numbers of trucks and dolls produced. The given relations let us write two equations:
t + d = 105
4t +5d = 480
Substituting for t, we have ...
4(105 -d) +5d = 480
d +420 = 480 . . . . . . . . . simplify
d = 60 . . . . . . . . . . . . subtract 480
t = 105 -d = 45
45 trucks and 60 dolls were produced in that hour.
Let the numbers be x, x + 1 and x + 2.
From the information given:-
x(x + 1)(x + 2) = x^3 + 85
Solving for x:-
x(x^2 + 3x + 2) = x^3 + 85
x^3 + 3x^2 + 2x = x^3 + 85
3x^2 + 2x - 85 = 0
3x^2 - 15x + 17x - 85 = 0
3x(x - 5) + 17(x - 5) = 0
(3x + 17)(x - 5) = 0
x = -17/3 , 5
We take x = 5 because x is an integer.
Answer:- the 3 integers are 5, 6 and 7.
Answer:
One solution
Step-by-step explanation:
By inspection, you can see that adding either 3x or 4x to y yields the same result of 7, meaning that x must be 0. If x is 0, y must be 7, meaning that this equation has only one solution. Hope this helps!
Answer:
-10/2 or -5 for the slope
Step-by-step explanation:
rise over run: it's going down 10 and over 2 or
for every 5 down it goes 1 over