Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
8x + 2 < 6x - 9
8x - 6x < -9 -2
2x < -11
x < -11/2
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
Answer:
The statement is true
Step-by-step explanation:
Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)
Answer:x=20
Im pretty sure thats the answer
Answer:
There is a flat fee involved, which is the y-intercept of the line.
The line eats the points:
(3, 435)
and
(5, 625)
the slope is 190/2 = 95
B = y - mx = 435 - (95)(3)
= 435 - 285
= 150
The linear function is:
y = 95x + 150
So for x=2, it will cost
95(2) + 150 = 190 + 150 = 340
435 + 625 + 340 = 1400
Step-by-step explanation: