Area is calculated by multiplying length by width. Since we are given the width, we can test each length and see if the product matches the rectangle's area.
(2m - 3)(4m - 4) = 8m² - 20m + 12 ≠ 8m² + 4m - 12
(8m - 3)(4m - 4) = 32m² - 44m + 12 ≠ 8m² + 4m - 12
(2m + 3)(4m - 4) = 8m² + 4m - 12
(8m + 3)(4m - 4) = 32m² + 20m - 12 ≠ 8m² + 4m - 12
The length of the rectangle must be 2m + 3. Another method of solving this would be to divide the area by the width, or 8m² + 4m - 12 ÷ 4m - 4.
Solve for x over the real numbers:2 x^2 - 3 x - 2 = x + 4
Subtract x + 4 from both sides:2 x^2 - 4 x - 6 = 0
The left hand side factors into a product with three terms:2 (x - 3) (x + 1) = 0
Divide both sides by 2:(x - 3) (x + 1) = 0
Split into two equations:x - 3 = 0 or x + 1 = 0
Add 3 to both sides:x = 3 or x + 1 = 0
Subtract 1 from both sides:Answer: x = 3 or x = -1
Answer:
a. $532.25 b. $1247.40
Step-by-step explanation:
a. A=P(1+rt)
500(1+0.043*1.5)
b.A=P(1+r/n)^nt
500(1+0.043/1.5)^18*1.5
(not 100% sure on compound interest though, sorry )
Answer:
16
Step-by-step explanation:
-10 opposite is 10 which this \ or | means the its positive number. So 10 +6 is 16
F(x) = -1.50x + 40.....basically, this is saying that Gloria has 40 bucks in her lunch account and each meal costs her 1.50.
By changing the -1.50 to -2.75 means she is paying more for her meals...the cost of a meal went up from 1.50 to 2.75.
