418,200 - 326,700 = 91,500
Given the equation 4(3b + 2)² = 64,
dividing both sides of the equation by 4, we have
(3b + 2)² = 16 and getting the square root of both sides,
(3b + 2) = 4 and (3b + 2) = -4
We can solve for b for each equation and have
3b = 2 | 3b = -6
b = 2/3 | b = -2
Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
Answer:
0.06
Step-by-step explanation:
3/47
When solving a linear equation (in one variable), there are three possible outcomes: one solution, no solution, and infinitely many solutions.
You know you have one solution when you get to a situation like “x= a number”. That means that’s the only x-value that makes the equation true.
If you get to something like “2=6” which is not true, that means the equation cannot ever be made true, so there is no solution to that equation.
If you get to something like “2=2” which is always true, that means the equation is always true, no matter what value you pick for the variable. This type of equation has infinitely many solutions.
In terms of your specific question, the third answer is the one that is a true statement.
X+y=16
the sum of the squares is
x^2+y^2=sum
solve for y in first equation
x+y=16
y=16-x
subsitiute that for y in other equation
x^2+(16-x)^2=sum
x^2+x^2-32x+256=sum
2x^2-32x+256=sum
take derivitive to find the minimum value (or just find the vertex because the parabola opens up)
derivitive is
4x-32=derivitve of sum
the max/min is where the derivitive equals 0
4x-32=0
4x=32
x=8
at x=8
so then y=16-8=8
the smallest value then is 8^2+8^2=64+64=128
