Answer:
125, 105, 120
Step-by-step explanation:
You would first make an equation with what you know:
x + 45 + x + 25 + x + 40 = 350.
Now, you would simplify and add like terms.
3x + 110 = 350
Now, you would subtract 110 from both sides.
3x = 240
Now, you would divide both sides by 3.
x = 80
Now that you know what x is, simply plug it in to the respective equations for all three sides.
x + 45 would become 80 + 45, and add up to 125.
x + 25 would become 80 + 25, and add up to 105.
x + 40 would become 80 + 40, and add up to 120.
To check your work, you would now add the three totals.
125 + 105 + 120 = 350.
Answer:
b. 300x1 + 125x2 < = 4,000
Step-by-step explanation:
Maximum of 4,000 hours
This means that the the total amount of labor has to be of at most 4,000, that is:
300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor
The total amount of labor is:
Uniting the two equations:
And thus the correct answer is given by option b.
To find the intercept of a variable in a equation with more than one variable, you need to equal the others variables to zero.
-> 4x -6y -5z = 60
-> X-Intercept:
To find the X intercept, equal the Y and Z values to 0.
(Y = 0; Z = 0)
4x -6(0) -5(0) = 60
4x = 60
x = 60/4
x = 15
-> Y-Intercept:
To the Y intercept it's the same thing, equal the another variable values to 0.
(X = 0; Z = 0)
4(0) -6y -5(0) = 60
-6y = 60
-y = 60/6
-y = 10 x(-1)
y = -10
-> Z-Intercept:
(X = 0; Y = 0)
4(0) -6(0) -5z = 60
-5z =60
-z = 60/5
-z = 12 x(-1)
z = -12
Answer: The intercepts for this equation (15,-10,-12).
Or: x = 15, y = -10, z = -12.
X^2+kx-35
=x^2+kx+-35
=kx+x^2-35
