Answer:
16x² + 64x + 64
Step-by-step explanation:
Given
A = 16x²
Increasing the sides by 2, substitute x = x + 2 into A
A = 16(x + 2)² ← expand factor using FOIL
= 16(x² + 4x + 4 ) ← distribute
= 16x² + 64x + 64
Answer:
<em>A)0.09x</em>
Step-by-step explanation:
The original price of the bicycle is x.
The discounted price of the bicycle is x - 30. It is a $30 discount.
The tax goes on the original price. 0.09x is the 9% tax applied to the original price x.
Answer: 0.09x
Answer:
∠1 = 72°
Step-by-step explanation:
Complementary angles sum to 90°, thus
∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus
4∠2 + ∠2 = 90
5∠2 = 90 ( divide both sides by 5 )
∠2 = 18°
Hence ∠1 = 90 - 18 = 72°
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
