Answer:
Step-by-step explanation:
Differentiate:
Substitute 
into 
:
Therefore, 68 is the gradient of the tangent line at x=7:
when , 
Number of kittens Ryan has = 8
Number of white kittens = 2
Number of not white kittens = 8 -2 = 6
Fraction of number of not white kittens = 6/8
To write the fraction in lowest form find the greatest common factor of numerator and the denominator. Divide the numerator and the denominator by the greatest common factor .
Now the greatest common factor of 6 and 8 is 2.
= 
= 
4 qts= 1 gallon
ratio and proportion
4 qts/1gallon]=24 qts/x gallons
cross multiply
4x=24
x=6 gallons
hope this helps
Answer:
The equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x
Step-by-step explanation:
Ice thickness decreases at a rate of 0.2 meters per week. This can then be represented by the expression
f(x) = k - 0.2*x
where k is the thickness of the ice before the melting starts and x is the number of weeks.
After 7 weeks, the ice is only 2.4 meters thick. This means that x has a value of 7, while f (7) = 2.4. Replacing in the previous expression:
2.4=k -0.2*7
and solving you get:
2.4=k- 1.4
2.4 + 1.4= k
3.8= k
Then, <u><em>the equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x</em></u>
