Answer: 7 
or 
Step-by-step explanation:
0.125 = 1/8
Answer: True
Explanation:
According to the rational zeros theorem, if x=a is a zero of the function f(x), then f(a) = 0.
Given: f(x) = x⁴ + x³ - 11x² - 9x + 18
From the calculator, obtain
f(5) = 448
f(4) = 126
f(3) = 0
f(2) = -20
f(1) = 0
f(0) = 18
f(-1) = 16
f(-2) = 0
f(-3) = 0
The polynomial is of degree 4, so it has at most 4 real zeros.
From the calculations, we found all 4 zeros as x = -3, -2, 1, and 3.
Therefore
f(x) = (x+3)(x+2)(x-1)(x-3).
For x>3, f(x)increases rapidly. Therefore there are no zeros for x>3.
The statement that x=5 is an upper bound for the zeros of f(x) is true.
Answer:
7. 4
8. 7
Step-by-step explanation:
7. 
Cross multiply
(division property of equality)
8. 
Cross multiply
(addition property of equality)
Divide both sides by 6
Step-by-step explanation:
Longest side of cuboid: 7cm
Height of cylinder:
2 × 7 = 14 cm
Volume of cuboid:
7x3x4=84
Volume of cylinder:
Surface area of the cylinder:
=128 cm^2
Answer:
Angle A = Angle Y
Angle B = Angle Z
Angle C = Angle X
AB = YZ
AC = YX
BC = ZX
Triangle ABC = Triangle YZX
Step-by-step explanation:
Find this by looking at the corresponding parts on the other triangle. They have the same marking on them. Make sure that when answering for segments or triangles that the order is the same on both sides.
