Step-by-step explanation:
First, You would solve what you can which would be the equation on the left Which will get you 4096. After that its just solving for P
4096=(4^p)^2
64=4^p (you would take the square root of 4096 to get 64)
Then, Since 64 is a perfect Cube root of 4, P will equal 3
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Answer:
x = - 4
Step-by-step explanation:
-79 = 7x + 3(4x - 1)
-79 = 7x + 12x - 3 Distribute 3 to the paranthesis
-79 = 19x - 3 Add like terms
-76 = 19x Add 3 to both sides
- 4 = x Divide 19 to both sides
Sin⁻¹ √2 = 1/√2 = 1(√2) / (√2)(√2) = √2/2
Answer:
Step-by-step explanation:
The h and k are the points of the vertex. The h is the one inside the absolute value bars. The k is on the outside. The h has to be the opposite sign from what is on the graph. For example, if the number on the the graph is -1, the number in the <em>equation</em> will have to be a positive 1. The number on the outside stays the same. If the number on the the graph is +1, the number in the <em>equation</em> will also be a positive 1.
Adults = 9
Children = 2
Let x be the number of adults.
11-x is the number of children.
22x + 15(11-x) = 228
22x + 165 - 15x = 228
22x - 15x = 228 - 165
7x = 63
7x / 7 = 63 / 7
x = 9 number of adults.
11 - x = 11 - 9 = 2 number of children.
To check:
22x + 15(11-x) = 228
22(9) + 15(11-9) = 228
198 + 30 = 228
228 = 228
