Answer:
6
Step-by-step explanation:
Using the rule of exponents
× 
⇔ 
Given
3
× 2
= (3 × 2) × 
[ Calculate the fraction sum
+ 
= 
+ 
= 
]
= 6
Area=length*width
(32+48)=(16)*(width)
80=(16)(width)
width=(80/16)
5=width
Answer:
x ≥ 4
Step-by-step explanation:
–4(8 – 3x) ≥ 6x – 8
Distribute
-32 +12x ≥ 6x – 8
Subtract 6x from each side
-32 +12x-6x ≥ 6x-6x – 8
-32 +6x ≥ – 8
Add 32 to each side
-32 +32 +6x≥ 32– 8
6x ≥ 24
Divide by 6
6x/6 ≥ 24/6
x ≥ 4
Answer:
f(x) = - 2(x - 3)² + 2
Step-by-step explanation:
Given
f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )
= - 2(x² - 6x) - 16
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16
= - 2(x - 3)² + 18 - 16
= - 2(x - 3)² + 2
Answer:
4:05 PM / 16:05
Step-by-step explanation:
Time starts at 2:25.
After the ride home (15 minutes), it will be 2:40.
Then, after the bike ride it will be 3:10.
When he's finished with his homework, it will be 4:05.
