Answer:
for a. you first shade the intersectoin between a and b the shade the intersectio
Step-by-step explanation:
Answer: positive
The absolute value of every nonzero integer is a positive integer.
Examples are
|-2| = 2
|7| = 7
The absolute value represents distance which can never be negative. Negative distance does not make sense.
Answer:
the solution of the system is:
x = 1 and y = 2.
Step-by-step explanation:
I suppose that we want to solve the equation:
-6*x + 6*y = 6
6*x + 3*y = 12
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate y in the first equation:
6*y = 6 + 6*x
y = (6 + 6*x)/6
y = 6/6 + (6*x)/6
y = 1 + x
Now we can replace this in the other equation:
6*x + 3*(1 + x) = 12
6*x + 3 + 3*x = 12
9*x + 3 = 12
9*x = 12 - 3 = 9
x = 9/9 = 1
Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.
y = 1 + (1) = 2
Then the solution of the system is:
x = 1 and y = 2.
P-0.40p = 0.60p
C. Decrease by 40% is the same as multiply by 60%.
Assume that p = 10
10 - 0.40(10) = 0.60(10)
10 - 4 = 6
6 = 6
Based on the above assumption. 40% of 10 is 4 ; and 60% of 10 is 6. So, 10 less 4(40% of 10) is equal to 6 (60% of 10).
Percentage is used because 0.40 and 0.60 will be multiplied with 100% to get the equivalent percentage 0.40 x 100% = 40% ; 0.60 x 100% = 60%
Answer:
2x^2 +11
Step-by-step explanation:
f(x) = 3x^2 +2
g(x) = x^2 -9
f(x) - g(x) = 3x^2 +2 - (x^2 -9)
Distribute the minus sign
= 3x^2 +2 -x^2 +9
Combine like terms
= 2x^2 +11
