Answer:
C. Kalena made a mistake in Step 3. The justification should state: -x²
+ x²
Step-by-step explanation:
Given the function x(x - 1)(x + 1) = x3 - X
To justify kelena proof
We will need to show if the two equations are equal.
Starting from the RHS with function x³-x
First we will factor out the common factor which is 'x' to have;
x(x²-1)
Factorising x²-1 using the difference of two square will give;
x(x+1)(x-1)
Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;
a²-b² = (a+b)(a-b) hence;
Factorising x²-1 using the difference of two square will give;
x(x+1)(x-1)
Factorising x(x+1) gives x²+x, therefore
x(x+1)(x-1) = (x²+x)(x-1)
(x²+x)(x-1) = x³-x²+x²-x
The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²
Answer:
Step-by-step explanation:
Y = mx + b
-1/2 x + 3y = -3
3y = 1/2 x -3
y = 1/6 x - 1
Where slope m = 1/ 6and y intercept b = -1
get the equation in slope intercept form
2x-3y=9
subtract 2x from each side
-3y = -2x +9
divide by -3
y = 2/3 x -3
slope = 2/3
y intercept = -3
x intercept set y=0 and solve
0 = 2/3 x -3
add 3 to each side
3 = 2/3 x
multiply each side by 3/2
9/2 = x
the x intercept is 9/2 or 4 1/2
Answer:
£231.85
Step-by-step explanation:
→ Work out the decimal multiplier
( 3 + 100 ) ÷ 100 = 1.03
→ Multiply the initial investment by the multiplier raised to the power of years
200 × ( 1.03 )⁵ = £231.85
Answer
The total area of the squares = 29 square cm
The triangle is not a right-angled triangle
Step-by-step explanation:
We are given three squares
The first square has a length of 4cm
The second square has a length of 3cm
The third square has a length of 2cm
Part A
Total area = Area of square 1 + Area of square 2 + Area of square 3
Area of a square = l^2
Where l is the length of the square
Area of a square 1 = 4^2
Area of a square = 16 square cm
Area of square 2 = 3^2
Area of square 2 = 9 square cm
Area of square 3 = 2^2
Area of square 3 = 4 square cm
Total area of the square = 16 + 9 + 4
The total area of the square = 29 square cm
Hence, the total square of the figure is 29 square cm
Part B
