The perimeter of a rectangle is represented by 4x^2 + 5x − 2. The perimeter of a smaller rectangle is represented by x^2 + 3x + 5. Which polynomial expression BEST represents how much larger the first rectangle is than the smaller rectangle?
A) 3x^2 + 2x − 7
B) 3x^2 + 2x − 3
C) 3x^2 + 8x + 3
D) 5x^2 + 8x − 7
<h3><u>Answer:</u></h3>
Option A
The polynomial expression best represents how much larger the first rectangle is than the smaller rectangle is 
<h3><u>Solution:</u></h3>
Perimeter of a rectangle is represented by 4x^2 + 5x − 2
Perimeter of a smaller rectangle is represented by x^2 + 3x + 5
To Find : Polynomial expression that represents how much larger the first rectangle is than the smaller rectangle.
Which means we have to find difference between perimeter of both rectangles
Subtract the equation of perimeter of smaller rectangle from equation of perimeter of a larger rectangle
Difference = perimeter of a larger rectangle - perimeter of smaller rectangle
On removing the brackets we get,
Thus option A is correct
Answer:
(4373/2) - 15
Step-by-step explanation:
if you scored 4373 points, and your friend scored 15 less than half that amount, you should divide your total by 2, then subtract 15.
Answer:
8ab-2c2 thats the answer Step-by-step explanation:
Answer:
Option c: all real numbers greater than 0
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value (y-intercept)
b is the base
r is the rate
b=(1+r)
In this problem we have
a=1/7
b=9
r=b-1 ----> r=9-1=8 -----> r=800%
using a graphing tool
see the attached figure
The domain is the interval ------> (-∞,∞)
The domain is all real numbers
The range is the interval ---------> (0,∞)
The range is all real numbers greater than zero
Answer:
The answer to your question is (17 + 8x)/24
Step-by-step explanation:
Data
First distance = 3/8 km
second distance = (x + 1)/3 km
Process
1.- Sum both distances
3/8 + (x + 1)/3
- Find the Least common factor
8 3 2
4 3 2
2 3 2
1 3 3
1
LCF = 2x 2 x 2 x 3 = 24
- Sum the fractions
3/8 + (x + 1)/3 = (9 + 8(x + 1)) / 24
-Simplification
= (9 + 8x + 8) / 24
-Result
= (17 + 8x)/24
