Answer:
x=1.5
or
x=1 1/2
Step-by-step explanation:
4x-7>-1
add 7 to both sides
4x=6
divide by 4 on both sides
x=1.5
or
x=1 1/2
Multiply everything in the parenthesis by 3.
9x - 24 = 4x + 6
Add 24 to both sides.
9x = 4x + 30
Subtract 4x from both sides.
5x = 30
Divide both sides by 5.
x = 6
Hope this helps!
Answer: C
Step-by-step explanation: The range of a function is all the outputs, or in this case all the values on the right side of the function. Therefore, we just look at what numbers are there and we find the range
Answer:
y" = -24 / y³
Step-by-step explanation:
6x² + y² = 4
Take the derivative of both sides with respect to x.
12x + 2y y' = 0
Again, take the derivative of both sides with respect to x.
12 + 2y y" + y' (2y') = 0
12 + 2y y" + 2(y')² = 0
Solve for y' in the first equation.
2y y' = -12x
y' = -6x/y
Substitute and solve for y":
12 + 2y y" + 2(-6x/y)² = 0
12 + 2y y" + 2(36x²/y²) = 0
12 + 2y y" + 72x²/y² = 0
6y² + y³ y" + 36x² = 0
y³ y" = -36x² − 6y²
y" = (-36x² − 6y²) / y³
Solve for y² in the original equation and substitute:
y² = 4 − 6x²
y" = (-36x² − 6(4 − 6x²)) / y³
y" = (-36x² − 24 + 36x²) / y³
y" = -24 / y³
