Answer:
m = -2 and b = -1/3
m = -2 and b = -2/3.
Step-by-step explanation:
y = -2x - 1/3
y = -2x - 2/3
This system has no solutions because y cannot be 2 different values at once.
Answer with explanation:
Let us assume that the 2 functions are:
1) f(x)
2) g(x)
Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

Now the sum of the 2 functions is shown below

Diffrentiating both sides with respect to 'x' we get

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

Thus the sum of the 2 functions is also a concave function.
Part 2)
The product of the 2 functions is shown below

Diffrentiating both sides with respect to 'x' we get

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.
Answer & Explanation:
Energy is heat. For example, if you boil a cup of water it has more energy than a cup at room temperature. It is considered a physical change because its properties do not change only the state of matter. On the other hand, if wood burns then that is a chemical change because it changes its chemical properties. Please rank as Brainliest if this helps! Thank you!
Answer: 2.95x+39.95(12)
Step-by-step explanation:
Hi, to answer this question we have t write an expression with the information given:
The yearly cost for x movie rentals is equal to : the product of the cost of each movie (2.95) and the number of movies (x) ;plus the product of the monthly fee (39.95) and the number of months in a year (12)
Mathematically speaking:
2.95x+39.95(12)
32 quizzes. If you make a proportion of quiz/weeks it would be 16/4 = x/8. Multiply by 2.