Answer:
25 = x
Step-by-step explanation:
Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...
0 = 8x - 200 ... add 200 on both sides
200 = 8x ... divide both sides by 8
25 = x
Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.
Answer:
One has 4 sides and one has 3 sides
Step-by-step explanation:
a square has 4 sides and an equilateral triangle has 3 sides
Answer:
odd
Step-by-step explanation:
Just so you know there are shortcuts for determining if a polynomial function is even or odd. You just to make sure you use that x=x^1 and if you have a constant, write it as constant*x^0 (since x^0=1)
THEN!
If all of your exponents are odd then the function is odd
If all of your exponents are even then the function is even
Now you have -4x^3+4x^1
3 and 1 are odd it is an odd function
This a short cut not the legit algebra way
let me show you that now:
For it to be even you have f(-x)=f(x)
For it be odd you have f(-x)=-f(x)
If you don't have either of those cases you say it is neither
So let's check
plug in -x -4(-x)^3+4(-x)=-4*-x^3+-4x=-4x^3+-4x
that's not the same so not even
with if we factor out -1 .... well if we do that we get -(4x^3+4x)=-f(x)
so it is odd.
We set up the equation 580/4 = 725/x. Since we know these are proportional, we can cross-multiply and solve to get x = 5.
Answer:
All real numbers are solutions.
Explanation:
−14(z − 5) = −14z + 70
[ Step 1: Simplify both sides of the equation ]
−14(z − 5) = −14z + 70
(−14)(z) + (−14)(−5) = −14z + 70 (Distribute)
−14z + 70 = −14z + 70
[ Step 2: Add 14z to both sides ]
−14z + 70 + 14z = −14z + 70 + 14z
70 = 70
[ Step 3: Subtract 70 from both sides ]
70 − 70 = 70 − 70
0 = 0
Therefore, all real numbers are solutions.
