The answer is C i just did this
Answer:
<u>f(x) = 2(x - 2)^2 - 1</u>
<u>vertex: (2, -1)</u>
Step-by-step explanation:
f(x) = 2x^2 - 8x + 7
<em>First, we find the vertex. </em>
x = -(-8)/4 = 2
y = 2(2)^2 - 8(2) + 7 = 2(4) - 16 + 7 = 8 - 9 = -1
vertex: (2, -1)
<em>Second, we write f(x) in vertex form. </em>
<em>we know that h and k have to be 2 and -1. </em>
2x^2 - 8x + 7 = a(x - 2)^2 - 1
<em>Since 8 - 1 = 7, we do this: </em>
f(x) = (2x^2 - 8x + 8) - 1
<em>Factor out the 2 and then factor the polynomial</em>
f(x) = 2(x^2 - 4x + 4) - 1
<em>factors of 4: </em>
1 4
2 2
-1 -4
<u>-2 -2 = -4</u>
<em>the function in vertex for is: </em>
f(x) = 2(x - 2)^2 - 1
6 7, angle 6 is congruent to angle 7. At each of the parallel lines adjacent angles are supplementary. The angles have special names identifying their positions with respect to the parallel lines and transversal. They are corresponding angles, alternate interior angles, or alternate exterior angles.
Answer:
Step-by-step explanation:
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
Answer: x/3 ==> C
Step-by-step explanation:
(2x/3)^1/2 * (x/6)^1/2=
(2x/3 * x/6)^1/2=
(2x^2/18)^1/2=
(2x^2)^1/2 / 18^1/2=
(2x^2)^1/2 / (2*9)^1/2=
(2x^2)^1/2 / 3*2^1/2=
2^1/2 * (2x^2)^1/2 / 3*2=
(2(2x^2))^1/2 / 6=
(4x^2)^1/2 / 6=
4^1/2 * (x^2)^1/2 / 6=
2x/6=x/3 ==> C
