No 3-9 tolong dijawab dong..... tolonggggg yaaa
Matematika
nilatiwi
Pertanyaan
No 3-9 tolong dijawab dong..... tolonggggg yaaa
1 Jawaban
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1. Jawaban arsetpopeye
9) y = mx^2 - 2mx + 10 => a = m, b = -2m
Absis Titik minimum = x = -b/2a = -(-2m)/(2m) = 1
8) y = -x^2 - 6x + 10 => a = -1, b = -6
x = -b/2a = -(-6)/2(-1) = 6/-2 = -3
y = -(-3)^2 - 6(-3) + 10 = -9 + 18 + 10 = 19
Karena a < 0 maka titiknya maksimum di (-3, 19)
7) y = 2x^2 - 4x + 8 => a = 2, b = -4
x = -b/2a = -(-4)/2(2) = 4/4 = 1
y = 2(1)^2 - 4(1) + 8 = 2 - 4 + 8 = 6
Karena a > 0 maka titiknya minimum di (1,6)
6) x = -1 => x < 0 => f(-1) = 2x + 1 = 2(-1) + 1 = -2 + 1 = -1
x = 2 => 0 ≤ x < 3 => f(2) = x^2 + 5 = (2)^2 + 5 = 4 + 5 = 9
x = 5 => x ≥ 3 => f(5) = 20 - x = 20 - 5 = 15
f(-1) + f(2) + f(5) = -1 + 9 + 15 = 23
5) f(x) = x^2 + 2x
f(3) = 3^2 + 2(3) = 9 + 6 = 15
4) x - y = 5 => x = y + 5
x^2 - y^2 = 45 => (y + 5)^2 - y^2 = 45
y^2 + 10y + 25 - y^2 = 45
10y = 20
y = 2
x = y + 5 = 2 + 5 = 7
HP = {(7, 2)}
3) 2x + z = 5 => z = 5 - 2x
x + y = 1 => y = 1 - x
y - 2z = -3 => (1 - x) - 2(5 - 2x) = -3
=> 1 - x - 10 + 4x = -3
=> 3x = 6
=> x = 2
z = 5 - 2x = 5 - 2(2) = 1
y = 1 - x = 1 - 2 = -1
xo + yo + zo = 2 + (-1) + 1 = 2