(7^2)^x = 1
49^x = 1
You should know that anything to the power of 0 is equal to 1, therefore x = 0.
49^0 = 1
Hope that helps :)
(4x+3) (2x-5)
8x^2-20x+6x-15
8x^2-14x-15
Answer:
68 students
Step-by-step explanation:
Number of men who major in business in the university= 0.43*8253=3548.79
Rounding off we have 3549 students
Number of women who major in business in the university= 0.27*10327=2788.29
Approximately 2789 students
Total students who major in Business= 3549+2789=6338 students
Total students in school= 8253+10327=18580
Probability of getting business major= 6338/18580
Out of 200 students, we expect

Approximately 68 students will be majoring in business
The square of an odd number:
We're to conjecture, not do algebra, apparently. 1²=1, 3²=9, 5²=25, 7²=49, ...
We conjecture the square of an odd number is odd.
The product of two evens and an odd:
Again, we'll run some examples.
(2)(2)(1)=4
(2)(4)(3)=24
(4)(6)(5) =120
(4)(8)(1)=32
Conjecture: The product of two evens and an odd is a multiple of 4
Counterexample: The product of two fractions is never an integer
How about
3/4 × 4/3 = 1
Perimeter = 2(Length) + 2(Width)
300 = 2L + 2W → 150 = L + W → 150 - L = W
Area = Length · Width
= L(150 - L) →
= 150L - L²
There are 2 different methods for solving (depending on which math course you are taking).
<u>Calculus</u>: find the derivative, set it equal to zero, and solve for L.
= 150L - L² → 0 = 150 - 2L → 2L = 150 → L = 75
<u>Algebra</u>: find the vertex.
= - L² + 150L → L = -b/2a → L = -150/2(-1) → L = 75
Once you solve for L, plug it into the Perimeter equation to solve for W:
150 - L = W → 150 - 75 = W → W = 75
Answer: 75ft x 75ft