4x - 1 < 11
Add 1 to both sides
4x < 12
Divide both sides by 4
x < 3
x is less than 3
Answer:
The answer is 14
Step-by-step explanation:
e=2
Substitute 2 in for e
8 + 3(2)
Solve
14
Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
<em>Width</em>: 3y²
<em>Length</em>: 4 + 7y³
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. For the area given: 12y² + 21y⁵
12y² = 3y²*4
21y⁵ = 3y²*7y³
So, the greatest common monomial factor is 3y², which is the width.
The area is 3y²*(4 + 7y³), the first term is the width, the other must be the length: 4 + 7y³.
Answer:
(5)(48)
Step-by-step explanation:
add and subtract hope it helps
