A.
(7^2)^x = 1
(49)^x = 1
thus x = 0
B.
<span>(7^0)^x=1
(1)^x = 1
thus x can be any real number.
</span>
Answer:
Leo is 11 years old
Step-by-step explanation:
* Lets explain how to solve the problem
- Alea is 5 times 3 less than leo's age
- Alea is 40 years old
- Assume that leo's age is x
* Lets change the words to equation
∵ Leo is x years old
∵ Alea is 5 times 3 less than Leo's age
- That means when we subtract 3 from Leo's age and multiply the
difference by 5 the result is Alea's age
∴ Alea's age = 5(x - 3)
- Multiply the two terms of the bracket by 5
∴ Alea's age = 5x - 15
∵ Alea is 40 years old
- Equate the expression of Alea's age by her age
∴ 5x - 15 = 40 ⇒ the equation to find Leo's age
- Add 15 to both sides
∴ 5x = 55
- Divide both sides by 5
∴ x = 11 ⇒ the solution of the equation
∵ x represents the Leo's age
∵ x = 11
∴ Leo is 11 years old
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
Answer:
The correct answer is 4%
Step-by-step explanation:
