If f and h are inverses, then:
f (h(x) ) = x and also
h( f(x) ) = x
X*80+y*60= 50*74
x +y =50 | * ( -60)
80x + 60y= 50*74
-60x - 60y=-50*60
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20x= 50*(74-60)=50*14
x=50*14/20=35 pounds of 80 cents tea
y=50-35=15 pounds of 60 cents tea
Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.
475 * 0.02 = 9.50
Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.
The answer would be 4 years.
Hope this helps.
Answer:
I am going to show you the first steps to complete squares for the given equation: 1) Starting equation: 3x^2 + 9x -4 = 0 2) Add 4 to both sides => 3x^2 + 9x - 4 + 4 = 4 => 3x^2 + 9x = 4 3) Extract common factor 3 in the left side => 3 (x^2 + 3x). Now, compare with a(x^2 + 3x) and you get a = 3. Answer: a = 3.
Answer:
Number of Cucumbers = 12
Number of Tomatoes = 4
Step-by-step explanation:
Let number of cucumber be c and number of tomatoes be t
Since he has room for 16 plants, we can write:
c + t = 16
He wants to plant 3 times as many cucumbers as tomatoes. We can write:
c = 3t
We can substitute this in 1st equation and solve for t:
c + t = 16
3t + t = 16
4t = 16
t = 16/4 = 4
And c = 3t
c = 3(4) = 12
Number of Cucumbers = 12
Number of Tomatoes = 4
