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>
The y intercept occurs when x = 0. When x = 0 then y = 0 too and the y intercept is 0.
Answer:
4: 32a^5 5: 2a / bc^2
Step-by-step explanation:
4. (2a)^3 / (2a)^-2
= (2a)^3 * (2a)^2
= 8a^3 * 4a^2
= 32a^5
5. 10a^7 b^9 c^6 / 5a^6 b^10 c^8
= 2a^7 b^9 c^6 / a^6 b^10 c^8
= 2a / bc^2
The solution and answer are well written in the Pic above.
Answer:
p = -3
Step-by-step explanation:
-2 (p - 5) + 7p = -5
-2p + 10 + 7p = -5
5p = -15
p = -3