Answer:
Step-by-step explanation:
The given function is
By the triangle inequality property,
and the alternate triangle inequality property;
We apply this property to get:
Expand parenthesis to get:
Simplify to get:
Group similar terms to get:
When x>5,
That's;
Answer: You need to show the question for me to answer it. In other words, provide more context
Step-by-step explanation:
Answer:A. All terms are even because even x even = even.
Step-by-step explanation:Hope It helps you have a good day.
Answer:
Larger fraction = 24/7
Step-by-step explanation:
Given that:
Smaller fraction = 8/3
Larger fraction = ?
Let the larger fraction is x/y then according to the statement:
8/3 / x/y = 7/9
Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.
So, according to rule:
8/3 * y/x = 7/9
8y/ 3x = 7/9
Now multiplying both sides by 3/8 we get
8y/ 3x * 3/8 = 7/9 *3/8
After cancellation:
y/x = 21/ 72
By reducing it to lowest form (dividing both by 3)
We ge:
y / x = 7/ 24
This means y= 7
x = 24
So the larger fraction will become: x/y =24/7
Smaller fraction / Larger fraction = 7/9
8/3 / 24/7 = 7/9
Applying Rule:
8/3 * 7/24 = 7/9
56/ 72 = 7/9
Reducing it to lowest fraction: (dividing both by 8)
7/9 = 7/9
Hence proved
I hope it will help you!
Answer:
d. $681.15
Step-by-step explanation:
Bedroom 1:
Width = 10 ft
Length = 8.5 ft
Area of bedroom 1 = length × width
= 10 ft × 8.5 ft
= 85 ft²
Bedroom 2:
Width = 11.75 ft
Length = 13.25 ft
Area of bedroom 2 = length × width
= 11.75 ft × 13.25 ft
= 155.6875 ft²
Total carpet in the two bedrooms = 85 ft² + 155.6875 ft²
= 240.6875 ft²
If the
carpet he wants to buy is $2.83 per square foot, then how much will it cost for both rooms?
Total cost for both rooms = Total carpet in the two bedrooms × cost per square foot
= 240.6875 ft² × $2.83
= $681.145625
Approximately $681.15
