Answer:
We conclude that:
Yes; Each input has only one output.
Step-by-step explanation:
From the given arrow diagram, we can easily determine the table
x y
2 24
4 8
6 16
8 32
10 32
From the table, it is clear that each input has only one output, in other words, each possible x value is leading to exactly one y value.
Meaning there is no repetition of any domain (x) value.
Therefore, we conclude that:
Yes; Each input has only one output.
Hey!
So here, what we need to do is plug in 100 for n
So 100/101 is our answer
Let me know if something doesn't make sense! :)
<span>Combine the logarithms first: log5(4x+3)-log5(x-1). Since it's subtract, divide the two.
log5((4x+3)/(x-1))=2
Make both sides the exponent of five. 5^log5 cancels out.
5^(log5(4x+3/x-1))=5^2
4x+3/x-1=25
Multiply both sides by (x-1) to get rid of it under 4x+3.
(x-1)4x+3/x-1=25(x-1)
4x+3=25x-25
Now subtract 4x from both sides AND add 25 to both sides. This way you'll have all the x's by itself.
28=21x
Divide both sides by 21.
28/21=x
x=1.33333333333...
</span>
H(t) = -16t^2 + 32t + 7
The 7 shows the height the ball was hit from
Setting H(t) = 0 and solving for t yields t= 2.2 seconds when it hits the ground
Answer:
• the equation kind is incorrect
• the equation is incorrect
• the equation should be: y = 15/x
Step-by-step explanation:
We observe that the data tells us the time is inversely proportional to the number of workers, and that the product of time and workers is 15 worker·hours. The form for inverse proportionality is ...
y = k/x
or
xy = k
Our observation tells us k = 15 (worker·hours), so our model equation is ...
y = 15/x . . . . . where x is the number of workers, and y is the hours to paint the room