Answer:
12^4 = 20736
Step-by-step explanation:
The property of exponents used to simplify : 12^8/12^4
The division property :
a^x / a^y = a^(x - y)
Therefore ;
12^8/12^4
12^8 / 12^4 = 12^(8 - 4) = 12^4 = 20,736
<h2>
Answer:</h2><h2>80%.</h2>
Step-by-step explanation:
Answer:
The domain of the graph is all real numbers less than or equal to 0.
Step-by-step explanation:
Hello,
We know that we cannot take square root of negative numbers, so we must have

So the domain of the graph is all real numbers less than or equal to 0.
For information, I attached the graph so that we can verify it.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer: There are 5 grasshoppers, 15 crickets and 20 ladybugs
Step-by-step explanation:
The question in english is:
Jose has found several insects. There are 10 less grasshoppers than crickets. There are 5 less crickets than ladybugs. If Jose has found 5 grasshoppers, how many ladybugs did he find and how many crickets? Write two equations to solve the problem.
Let's tag grasshoppers with
, crickets with
and ladybugs with
.
So, we are tolde there are 10 less grasshoppers than crickets:
(1) We have the first equation
Then, we are told there are 5 less crickets than ladybugs:
(2) This is the second equation
If
and we substitute this in both equations we will have:
(3)
Isolating
:
(4) There are 15 crickets
Substituting (4) in (2):
(5)
Isolating
:
There are 20 ladybugs
Therefore:
There are 15 crickets and 20 ladybugs
Answer: Slope is -1
Using the slope formula, we get
m = (y2 - y1)/(x2 - x1)
m = (0 - 4)/(2 - (-2))
m = (0 - 4)/(2 + 2)
m = -4/4
m = -1
What's going on here is that we subtract the y values 0 and 4 to get -4. This means that we dropped 4 units vertically to go from A to B. This is the rise. So rise = -4
The run is 4 because we moved 4 units to the right to go from A to B. This is found algebraically when we subtracted the x coordinates, so 2 - (-2) = 2 + 2 = 4.
Slope = rise/run = -4/4 = -1
You have the correct answer, assuming you wrote -1. I think your teacher just marked it wrong because you forgot to show steps.