Answer:
1/3x +2/3 = y
Step-by-step explanation:
y= 3x-2
To find the inverse, exchange x and y
x = 3y-2
And solve for y
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
1/3(x+2) = 1/3(3y)
1/3x +2/3 = y
The number of infected people will reach 568 in approximately 4 weeks
<h3>Linear equation and function</h3>
Exponential equations are inverse of logarithmic equation and are represented by the equation below:
y = ab^x
where
a is the base value and x is the exponent
Given the equation that shows the number of infected people from an outbreak of the measles as:
y = 4(6)^t
If the number of infected people reach 568, hence;
568 = 4(6)^t
568/4 = 4(6)^t/4
6^t = 568/4
6^t = 142
Take the natural logarithm of both sides
ln(6^t) = ln142
t = ln142/ln6
t = 4.37
Hence the number of infected people will reach 568 in approximately 4 weeks
Learn more on exponential equation here: brainly.com/question/12940982
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f(g(-1)) = - 3
Evaluate g(-1) and substitute into f(x)
g(-1) = (-1)² -7(-1) - 9 = 1 + 7 - 9 = - 1
f(g(-1)) = (-1) - 2 = - 3
1 quart is equal to 4 cups, so 6.5 quarts are equal to? You have to multiply.
8:2 can be simplified to 4:1. (: