Answer:
y = -51
Step-by-step explanation:
y - (-10) = -41
Subtracting a negative number: - (-10) is the same as just adding a positive number + 10, so we'll use this to simplify the expression.
y + 10 = -41
Now, we can subtract 10 from both sides of the equation in order to isolate y.
10 - 10 = 0
-41 - 10 = -51
This means the equation is now:
y = -51
Let's check this answer:
Input -51 as y:
-51 - (-10) = -41
-41 = -41
It works!
This means y = -51 is the answer!
The function is defined over these ranges of x:
(-∞, -1) and [-1, 7), that is for x < 7.
Note that
The function is undefined at x = --1 over the left portion of the straight line, but the function s defined at x = -1 for the right portion f the straight line.
The function is undefined at x = 7 and for larger values of x.
Answer: x < 7
Use x+2y=8
Subtract 2y to make
x=8-2y
Plug this in to the other equation
3(8-2y)+2y=6
Distribute the 3
24-6y+2y=6
Combine like terms
24-4y=6
Solve
18/4=y, 9/2=y
Plug and solve for x
X+2y=8
X+(2*9/2)=8
X+9=8
X=-1
Answer:
B
Step-by-step explanation:
g(x) - h(x)
= 5x² - 10x + 9 - ( - 3x³ + 5x - 6) ← distribute parenthesis by - 1
= 5x² - 10x + 9 + 3x³ - 5x + 6 ← collect like terms
= 3x³ + 5x² - 15x + 15 → B