Kakšni so prestopi -7y = 3y-2 (x-9) -x ^ 2?

Odgovor:

$x = - 10 + - \sqrt{19}$ $x = -10 + -sqrt19$

$y = - \frac{9}{5}$ $y = -9 / 5$

Pojasnilo:

Če želite poiskati preseke y, nastavite x = 0 in rešite za y:

$- 7 y = 3 y - 2 (x - 9) - x^{2}$ $-7y = 3y-2 (x-9) -x ^ 2$

$- 7 y = 3 y - 2 (0 - 9) - 0^{2}$ $-7y = 3y-2 (0-9) -0 ^ 2$

$- 7 y = 3 y - 2 (- 9)$ $-7y = 3y-2 (-9)$

$- 7 y = 3 y + 18$ $-7y = 3y + 18$

$- 10 y = 18$ $-10y = 18$

$y = - \frac{9}{5}$ $y = -9 / 5$

Če želite poiskati presledke x, če obstajajo, nastavite y = 0 in rešite za x:

$- 7 y = 3 y - 2 (x - 9) - x^{2}$ $-7y = 3y-2 (x-9) -x ^ 2$

$- 7 (0) = 3 (0) - 2 (x - 9) - x^{2}$ $-7 (0) = 3 (0) -2 (x-9) -x ^ 2$

$0 = - 2 (x - 9) - x^{2}$ $0 = -2 (x-9) -x ^ 2$

$0 = - x^{2} - 2 (x - 9)$ $0 = -x ^ 2-2 (x-9)$

$0 = - x^{2} - 2 x + 18$ $0 = -x ^ 2-2x + 18$

$0 = x^{2} + 2 x - 18$ $0 = x ^ 2 + 2x-18$

Če želite poiskati te korenine, morate zaključiti kvadrat ali uporabiti kvadratno enačbo:

$x = - 10 + - \sqrt{19}$ $x = -10 + -sqrt19$

graf {-7y = 3y-2 (x-9) -x ^ 2 -20,58, 19,42, -4,8, 15,2}

Kakšni so prestopi za y = 2x ^ 2-10x-1?

Y = -1 x_1 = 0,098 x_2 = 5,098 y = 2x ^ 2-10x-1 "za x =" 0 "" rArry = -1 "za y =" 0 2x ^ 2-10x-1 = 0 Delta = sqrt ( 100 + 4 * 2 * 1) "" Delta = sqrt (108) "" Delta = 10,39 x_1 = (10-10,39) / 4 x_1 = (0,39) / 4 x_1 = 0,098 x_2 = (10 +10,39) / 4 x_2 = (20,39) / 4 x_2 = 5,098

Kakšni so prestopi za y = 2x + 3?

"x-intercept" = -3 / 2, "y-intercept" = 3> ", da bi našli presnetke, kjer je graf prečka osi x in y" "" naj x = 0, v enačbi za y-prestreže "•" naj y = 0, v enačbi za x-intercept "x = 0rArry = 0 + 3 = 3larrcolor (rdeča)" y-intercept "y = 0rArr2x + 3 = 0rArrx = -3 / 2larrcolor (rdeča) ) graf "x-intercept" {(y-2x-3) ((x-0) ^ 2 + (y-3) ^ 2-0.04) ((x + 3/2) ^ 2 + (y-0) ^ 2-0.04) = 0 [-10, 10, -5, 5]}

Kakšni so prestopi za y = 2x + 6?

X-intercept = -2 y-intercept = 6 Za odseke črte: x-intercept je, ko je y = 0 in y-prestrezanje, ko je x = 0. x-intercept Ko je y = 0 y = 2x + 6 0 = 2x + 6 -2x = 6 x = -6 / 3 x = -2 -----> To je x-prestrezanje! y-prestrezanje Pri x = 0 y = 2x + 6 y = 2 (0) + 6 y = 0 + 6 y = 6 ------> To je y-prestrezanje!