Answer:
y=26.67
Step-by-step explanation:
The given equation is 0.75x+1.5y=40.
We need to show the result of substituting x=0 in above equation.
0.75x+1.5y=40
Put x = 0
0.75(0)+1.5y=40
0+1.5y=40
⇒ 1.5y=4

So, the value of y = 26.67 when x = 0.
Step-by-step explanation:
I will do the first one as an example.
To find the inverse of y = f(x), simply switch x and y, then solve for y.
y = 3 + 2 ln x
x = 3 + 2 ln y
x − 3 = 2 ln y
(x − 3) / 2 = ln y
y = e^((x − 3) / 2)
So the inverse function is:
f⁻¹(x) = e^((x − 3) / 2)
The original function told us the amount of water as a function of time.
The inverse function tells us the time as a function of the amount of water.
Answer:
Distributive property
Step-by-step explanation:
Answer:
4 and 5
Step-by-step explanation:
Let the numbers be x and y
If their sum is 9, hence;
x + y = 9 ....1
When reversed
10y+x = 2(10x+y)
10y+x = 20x + 2y
10y - 2y = 20x - x
8y = 19x
y = 10x/8 ...2
Substitute equation 2 into 1;
From 1;
x+y = 9
x +(10x/8) = 9
18x/8 = 9
18x = 72
x = 72/18
x = 4
Since x+y =9
y = 9-x
y =9-4
y = 5
Hence the numbers are 4 and 5
Answer:
first step is to minus 28.7 - 6.7=22 (I did the minus because I want to get the remaining length of the rope )
step 2 : is to divide 22 by 2 (because the question said they should divide it into two pieces )
then the answer you get from the division of 22/2 which is 11 that would be the final answer
meaning each tire swing is 11m