Answer:
f(x) has moved:
4 units in the positive y direction i.e upwards
3 units in the positive x direction
Step-by-step explanation:
to get g(x), f(x) has undergone the following transformations
f(x) = x³
f1(x) = x³ + 4 (translation of 4 units in the positive y direction i.e upwards)
f2(x) = g(x) = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)
Answer:
Step-by-step explanation:
The expression can be fully factored as ...
3·5·(x-3)
Equivalent expressions can be formed by eliminating parentheses to give ...
15x -45
or by combining different pairs of factors:
Of course any of the terms can be broken apart and/or combined in different ways:
= 15(x -2) -15
= (7x -7) + 2(4x -19)
Large, because for 600 ml it would be £2.40 and for 1,000 ml it would be £3.80
please mark brainlyest
Answer:
A
Step-by-step explanation:
Given
x² - x = 30
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 
)x + 
= 30 +
(x - )² = 
Take the square root of both sides
x - = ± 
= ± 
Add to both sides
x = ± , thus
x = - = - 5
x = + = 6
Answer:
Step-by-step explanation:
and it's an arithmetic sequence.
