x / 3 ≤ -6
---Multiply both sides by 3 to cancel out the denominator on the left side
x ≤ -18
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
(a)
The shaded figure is a trapezium with area (A)
A = 0.5 h(a + b)
where h is the perpendicular height and a, b the parallel sides, thus
A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²
(b)
The volume (V) of the prism is calculated as
V = area of end face × depth
= 110 × 3 = 330 cm³
Given that z is directly proportional to x, then:
zαx
hence;
z=kx
therefore:
k=z/x
when x=3,z=54
thus;
k=54/3
=18
hence;
z=18x
therefore the value of z when x=12 will be:
z=18*12
z=216
The answer is z=216
If f(x)=x^2+7x+20 has the same roots as g(x)=Ax^2+Bx+1, then
one must be a multiple of the other.
By comparison of the constant terms, we know that 20g(x)=f(x), or
g(x)=(1/20)f(x)
=(1/20)(x^2+7x+20)
=(1/20)x^2 + (7/20)x + 20/20
=(1/20)x^2 + (7/20)x + 1
Therefore A=(1/20), B=(7/20), and A+B=(1+7)/20=8/20=2/5
