Answer:
81
Step-by-step explanation:
6 over 12 equals 3 over 6 6 over 3 equals 6 over 12 6 over 6 equals 3 over 12 12 over 6 equals 3 over 6
Answer:
the price paid is £288,000
Step-by-step explanation:
The computation of the price paid is shown below:
Sale of the another house is £283,392
Since the another house would be 1.6% less than the price paid
So, the price paid would be
= £283,392 × 100 ÷ (100 - 1.6%)
= £283,392 × 100 ÷ 98.4
= £288,000
Hence, the price paid is £288,000
Part A:

The first step of completing the square is writing the expression

as

which expands to

.
We have the first two terms exactly the same with the function we start with:

and

but we need to add/subtract from the last term, 49, to obtain 41.
So the second step is to subtract -8 from the expression

The function in completing the square form is

Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero


It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function

can either make U-shape or ∩-shape depends on the value of the constant

that goes with

. When

is (+), the curve is U-shape. When

(-), the curve is ∩-shape
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is

This function is shown in the diagram below
Answer:
w = 13
Step-by-step explanation:
Using the method of cross- multiplying
•
=
⇒ ad = bc, thus
42(w + 11) = 28(w + 23) ← distribute parenthesis on both sides
42w + 462 = 28w + 644 ( subtract 28w from both sides )
14w + 462 = 644 ( subtract 462 from both sides )
14w = 182 ( divide both sides by 14 )
w = 13