Step-by-step explanation:
2(x - 7) = 3(x + 9)
2x - 14 = 3x + 27
2x - 3x = 27 + 14
-x = 41
x = - 41
Answer:
f(x) = 2x² - 8x - 10.
This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:
a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex
b) for x = 2, f(x) = f(2) = - 18 (component of y of the vertex)
c) VERTEX(2, - 18)
d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144
Hope this helps! :)
X^2 - x - 6 > 0
(x - 3)(x + 2) > 0
x < - 2 or x > 3
answer
x < - 2 or x > 3
if,
p/x=x/q
then cross-multiplying gives <span>x^2=pq</span>
<span>x^2=pq</span>. Taking the square root of both sides, we get <span>x=√pq</span> as the geometric mean of p and q.
Hence in the given question the product of p and q is 8.
so,
x=√8
x=2√2
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