Answer:
f( 1 ) = 3
Step-by-step explanation:
Given the linear function, f(x) = -4x + 7, we could easily find f( 1 ) by substituting the value of the input, x = 1, into the function.
f(x) = -4x + 7
f( 1 ) = -4( 1 ) + 7
f( 1 ) = -4 + 7
f( 1 ) = 3
Therefore, the output value is f( 1 ) = 3.
Answer:
u as the subject of the given formula is, 
Step-by-step explanation:
Given;
v² = u²+2as
To make u the subject of the formula, the following steps are taken;
v² = u²+2as
v² - 2as = u²
take the square - root of both sides of the equation;

Thus, u as the subject of the given formula is, 
We find the length of AD using the similarity of right triangle property. See image attached.
AD² = BD × CD
AD² = 9 × 36
AD² = 324
AD² = 18²
AD = 18
The length of AD is 18 units
Answer:
c. 5
Step-by-step explanation:
1.5m = 1.5*100 cm = 150 cm
Divide 150 cm by 30 cm,
150/30 = 5
Answer:
x = - 3 ± 
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ± 