Answer:
roots: 2 ± (1/2)√42
-8
axis of symmetry: x = -b/(2a) is x = ---------------- = 2
2(-2)
vertex: (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)
Step-by-step explanation:
First, let's determine the roots of this quadratic, using the quadratic formula. Here the coefficients are -2, 8, 13.
Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168. Because the discriminant is positive, we know that there are two different real roots.
They are:
-8 ± √168 -8 ± 2√42
x = --------------------- or x = --------------------- = 2 ± (1/2)√42
-4 -4
Answer:
b. x = 11/8, x = 59/72.
Step-by-step explanation:
4|8x - 6| = 5|-8x + 7|
square both sides:
16(64x^2 - 96x + 36) = 25( 64x^2 - 112x + 49)
1600x^2 - 1024x^2 - 2800x + 1536x + 1225 - 576 = 0
576x^2 - 1264x + 649 = 0
x = [1264 +/- √(1264^2 - 4 * 576* 649)] / (2*576)
x = 11/8, x = 59/72.
Isn’t there supposed to be a picture?
Answer:
true and it also depends on what question it is
Step-by-step explanation:
because 7% = 0.07 when doing a mathematical question it will help you a lot if you turn 7% into a decimal 0.07 and it will be more easier than doing it as a percentage.
