Answer:
x = 1/9
Step-by-step explanation:
3^ (x+1) = 9 ^ (5x)
Replace 9 with 3^2
3^ (x+1) = 3^2 ^ (5x)
We know that a^b^c = a ^(b*c)
3^ (x+1) = 3^(2 * (5x))
3^ (x+1) = 3^(10x)
The bases are the same so the exponents are the same
x+1 = 10x
Subtract x from each side
x+1-x = 10x-x
1 = 9x
Divide each side by 9
1/9 = 9x/9
1/9 =x
Answer:
Part a) The table in the attached figure (see the explanation)
Part b) see the explanation
Step-by-step explanation:
Let
y ----> the total cost of Lift Tickets
x ----> the number of days
we know that
The linear equation in slope intercept form is given by

where
m is the slope or unit rate of the linear equation
b is the initial value or y-intercept pf the linear equation
In this problem we have
The slope is equal to

The y-intercept is equal to

substitute

<u><em>Complete the table</em></u>
Find the value of y for each value of x
For x=0 day

For x=1 day

For x=2 days

For x=3 days

For x=4 days

For x=5 days

For x=6 days

Part b) Explain how you know the data in the table above is linear
The data in the table is linear, because satisfy the equation of the linear equation

where
x is the variable independent or input value (the number of days)
y is the variable dependent or output value (the total cost of Lift Tickets)
Answer:
71
Step-by-step explanation:
36 is perfect square because 36 = 6*6
64 is perfect square because 64 = 8*8
Answer:
10 cats
Step-by-step explanation:
dogs:cats = 3:2=15:x
3x=15.2
3x=30
x=10 cats