Answer:
-2
Step-by-step explanation:
First evaluate inside parentheses
(-1)^4 -9/3
Then do the exponentiation
1 -9/3
Now the division
1 -3
Finally, the sum
-2
Answer:
<em>x = 18.25</em>
<em>y = 15.25</em>
Step-by-step explanation:
System of Equations:
Solve:
3x + 5y = 131 [1]
6x + 2y = 140 [2]
Multiplying [1] by -2:
-6x - 10y = -262 [3]
Adding [2] and [3]:
-8y = -122
y = -122/(-8)=15.25
y = 15.25
Substituting in [1]
3x + 5(15.25) = 131
3x + 76.25 = 131
3x = 54.75
x = 54.75/3
x = 18.25
Thus:
x = 18.25
y = 15.25
Answer:
what?
Step-by-step explanation:
27.7-14=Cost above 500 msg
13.7=C
E=number of Extra messages sent
C=0.1E
13.7/0.1=E
137=E
Total messages=T
T=500+E
T=500+137
T=637
Danielle sent 637 messages in September
Check the picture below.
something worth noticing ![\bf \cfrac{x^2-x-6}{x-3}\implies \cfrac{(\underline{x-3})(x+2)}{\underline{x-3}}\implies x+2](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bx%5E2-x-6%7D%7Bx-3%7D%5Cimplies%20%5Ccfrac%7B%28%5Cunderline%7Bx-3%7D%29%28x%2B2%29%7D%7B%5Cunderline%7Bx-3%7D%7D%5Cimplies%20x%2B2)
so, we're really graphing x+2, with a hole at x = 3, however, when x = 3, we know that f(x) = 5, but but but, when x = 3, x+2 = 5, so we end up with a continuous line all the way, x ∈ ℝ, because the "hole" from the first subfunction, gets closed off by the second subfunction in the piece-wise.