Answer:
The answer to your question is the letter a.
Step-by-step explanation:
Data
x² + 12x + c
If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.
-Get half the second term
12x/2 = 6x
-Divide by the square root of the first term
6x/x = 6
-Express the result to the second power
6² = 36
-Write the perfect square trinomial
(x² + 12x + 36) = (x + 6)²
Your answer is E. $25.
First let under 12 = u, over 12 = o, and adults = a.
We can now write the equations:
2u + 3a + 3o = 174
4u + 2a = 122
a + o = 46
Because we know that a + o = 46, and 3a + 3o is in the first equation, we can multiply 46 by 3 to get what 3a + 3o equals. This makes 138.
Now we can substitute 138 into the first equation to get 2u + 138 = 174
2u = 36
u = 18
Now that we know what u equals, we can substitute it in to the second equation to get:
4(18) + 2a = 122
72 + 2a = 122
2a = 50
a = $25
I hope this helps! Let me know if you have any questions :)
Answer:
$12.60 is the new price!
Step-by-step explanation:
20 x 0.7 = 14
14 x 0.9 = 12.6
Hope this helped!
4/15=x/75
4*75=15*x
300=15x
x=300/15
x=20
Answer:
n=-8.86
Step-by-step explanation:
Slope will determine the direction and the steepness of a function. It could be either increasing/decreasing depend on minus or plus. The formula for slope is
m= (y2-y1)/ (x2-x1)
If you add (n,-6) and (-9,-4) to the equation, it will be:
m= (y2-y1)/ (x2-x1)
-15= (-6--4)/ (n--9)
-15= (-2)/ (n+9)
-15(n+9) = -2
-15n - 135=-2
-15n= -2 + 135
n= -133/15
n= -8 13/15= -8.86
