Answer:
£210
Step-by-step explanation:
A decrease of 30% represents 70% of the original cost.
100% represents the original cost
Divide the price by 70 to find 1% then multiply by 100 for original cost
original cost =
× 100 = 2.1 × 100 = £210
10/4 is not the simplified version that it can be. So 5/2 would be the same expression.
Graph of Parallel lines shows a system of equations with no solutions
Step-by-step explanation:
Consider a set of equations

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

substituting the following x in 2nd equation (21x + 6y = 24) We get

Put y= -2 in x equation

Comparing these (x,y) values we can understand that they never meet at a point
Answer:
goes into the box
Step-by-step explanation:
Let the number be
, then

We now use the following property of exponents to simplify the left hand side of the equation.

This implies that;


Since the bases are the same, we equate the exponents to get;

We now multiply both sides by 3 to get;


Therefore the number that goes into the box is 
Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1