Answer:
x=-2,2
Step-by-step explanation:
Since this is a quadratic equation, -2 or 2 could be the possible answer
Steps
$3x^2=12$
$\mathrm{Divide\:both\:sides\:by\:}3$
$\frac{3x^2}{3}=\frac{12}{3}$
$\mathrm{Simplify}$
$x^2=4$
$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$
$x=\sqrt{4},\:x=-\sqrt{4}$
Show Steps
$\sqrt{4}=2$
Show Steps
$-\sqrt{4}=-2$
$x=2,\:x=-2$
Axis of symmetry for this function will be x=2 because your origin point is always the reference for the line of symmetry. In this case, it as been shifted to the right 2 units giving you x=2. Firstly, the transformation is a horizontal stretch by a factor of 10. Secondly, it is shifted 2 units to the right and finally shifted 7 units down. Remember when a constant is added or subtracted to x in a function, it is shifted the number of u its opposite of the constant. When there is a constant separate from x, such as outside parentheses or absolute value bars, it is shifted up or down the given amount.
Answer:
Fifty more than half the number of the oranges is one-hundred-and-twenty.
The sum of fifty and half the number of oranges is the same as one-hundred-twenty.
Step-by-step explanation:
The equation is 50 + one-half m = 120.
Assume the number of oranges=m
50+1/2m=120
1/2m=120-50
1/2m=70
m=70÷1/2
=140
All statement that applies includes:
1. Fifty more than half the number of the oranges is one-hundred-and-twenty.
50+1/2m=120
2. The sum of fifty and half the number of oranges is the same as one-hundred-twenty.
50+1/2m=120
Martha can use the two statements above to communicate the correct equation
Jeff can travel 2 miles in one hour
Answer:
(2, 0)
Step-by-step explanation:
Given the simultaneous equation
2x-y = 4
3x+y = 6
Add both equation
2x+3x = 4 + 6
5x = 10
x = 10/5
x = 2
Substitute x = 2 into equation 1
From1 ;
2x-y = 4
2(2) - y = 4
4 - y = 4
y = 4-4
y = 0
Hence the solution to the system of equation is (2, 0)
