Answer:
Proven
Step-by-step explanation:
We prove the polynomial with factorization. We must first simplify the expression before we can factorize:



4 is the common number and we can take it out of the expression:

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

Answer: f(-3) = 278, f(-4) = 232
Step-by-step explanation:
f(x) = 4x³ - 6x² - 144x + 8
f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8
f(-3) = 4(-27) - 6(9) - 144(-3) + 8
f(-3) = 278
f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8
f(-4) = 4(-64) - 6(16) - 144(-4) + 8
f(-4) = 232
It is 45 and 67 I remember this from boating school 5 times a second in 11
A) x -y =1
B) x * y =1
B) y = 1/x
A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0
Solving by the quadratic formula
x = 1.618 and
y = .618
Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio
Answer:
Q7. 11.3 inches (3 s.f.)
Q8. 96.2 ft
Q9. 36.4cm
Step-by-step explanation:
Q7. Please see attached picture for full solution.
Q8. Let the length of a side of the square be x ft.
Applying Pythagoras' Theorem,

Thus, the perimeter of the square is

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.
Since the perimeter of the equilateral triangle is 126cm,
length of each side= 126÷3 = 42 cm
The green line drawn in picture 3 is the altitude of the triangle.
Let the altitude of the triangle be x cm.
sin 60°= 
(to 3 s.f.)
Therefore, the length of the altitude of the triangle is 36.4cm.