Answer:
a: no solutions
b: (2, 3)
Step-by-step explanation:
a:
In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.
b:
Since both of the equations are equal to y, we can set them equal to each other:
We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):
(x-2)^2 = 0
x = 2
Now, to find y, plug-in x to any of the equations:
y = 2*2-1 = 3
Therefore, the solution to this system of equation is (2, 3)
I hope this helped.
For me personally, the easiest way to do this is by isolating the x² term, and finding the square root of both sides. The hardest way (well actually, the longest way) would be to use the quadratic formula. It just complicates things unnecessarily.
Answer:
Domain: [0,infinity)
Range: [0,infinity)
X-intercept: (0,0)
Y-intercept: (0,0)
Step-by-step explanation:
Answer:
BE=15
Step-by-step explanation:
Since E is the center, BE=2x+1
And AC is 6x-12 with E being a midpoint.
Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that
you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE
6x-12=4x+2
BD=AC
6x-4x-12=2
2x=2+12
2x=14
x=7
BE= 2x+1
2(7)=14+1=15
Answer:
Correct answer: The third answer is correct
Step-by-step explanation:
The domain of each function is defined by observing the behavior of the function from left to right by following the growth of numbers on the x axis of real numbers.
In the same way, the range of each function is defined by observing the behavior of the function from the bottom y axis upwards by following the growth of numbers on the y axis of real numbers.
The given function extends from negative infinite to positive infinite on the x axis and that is the domain of this function.
The minimum of a given function is 4, which means that the function exists from 4 upwards and that is the range of the function.
Domain; all real numbers or x ∈ ( -∞ , + ∞)
Range: ( y ≥ 4 )
God is with you!!!
