Answer:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
Step-by-step explanation:
Let x the number of months
Cody's Gym charges a $15 fee to join and $30 per month
y₁= 15 + 30x (1)
Tyler's Gym charges a $30 fee to join and $20 per month
y₂ = 15 + 30x (2)
See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)
The point of intersection between y₁ and y₂ is ( 3/2 , 60)
After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges
So, the inequality will be:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
Answer:
The answer is 65,-4
Step-by-step explanation:
x coordinates is 65 while the Y coordinates is -4
Answer:
50 miles per hour
Step-by-step explanation:
50 miles matches up with 1 hour, 100 miles matches up with 2 hours, and so on.
Hope this helps! :)
Answer:
20 square inches
Step-by-step explanation:
No. of bags Huma has : 4
No. of tiles in one bag: 6
Total no . of tiles in 4 bag = 4 * No. of tiles in one bag
= 4*6 = 24
No of tiles left with huma = 4
Let x be the no of tiles used to cover rectangle
Hence,
sum of no. of tiles left with huma and no of tiles used to cover rectangle should be equal to Total no . of tiles in 4 bag
mathematically
no. of tiles left with huma(4) + no of tiles used to cover rectangle (x) = Total no . of tiles in 4 bag (24)
4 + x = 24
subtracting 4 from both sides
4 + x -4 = 24 - 4
=> x = 20
Thus, 20 square inches tiles are used to cover the rectangle.
This means that area of rectangle is 20 square inches .
Step-1 : Multiply the coefficient of the first term by the constant 6 • -10 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
6n2 - 15n + 4n - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3n • (2n-5)
Add up the last 2 terms, pulling out common factors :
2 • (2n-5)
Step-5 : Add up the four terms of step 4 :
(3n+2) • (2n-5)
Which is the desired factorization
Final result :
(2n - 5) • (3n + 2)
