Add 2x and subtract 7
5 -2x +2x < 7 +2x . . . . . . showing 2x added
5 < 7 +2x . . . . . . . . . . . .. simplified
5 -7 < 7 -7 +2x . . . . . . . . showing 7 subtracted
-2 < 2x . . . . . . . . . . . . . . . simplified
Now, divide by 2
-1 < x
The solution is -1 < x.
Answer:
<em>P</em> + (.25)(<em>P</em>)
Step-by-step explanation:
First off I WANT A DIAMOND PONY :)
<em>P</em> stands for what the price of the pony is, and (0.25)(<em>P</em>) is the diamond pony tax that has to be added to the original price.
Hope I helped, and if you are extremely grateful, send me a diamond pony :D
:)
Answer:
The height of the pyramid is 
Step-by-step explanation:
we know that
The volume of the trapezoid pyramid is equal to

where
B is the area of the trapezoid base
h is the height of the pyramid
we have


substitute and solve for h


Answer: Negative 1 The slope of parallel lines is the same.
The attachment shows two such lines, given coordinates labeled.
Step-by-step explanation:
Find the slope of the line passing through the given points.
rise/run
Rise is the difference in y-values 7-(-5) = 12
Run is the difference between x-values -5 - 7 = - 12
The Slope is 12/-12 simplify:
slope = -1
3(x^2+10x+5)-5(x-k)=
3x^2+30x+15-5x+5k=
3x^2+25x+15+5k
for this to be divisible by x every term must include x or get eliminated
the problematic terms are 15 and 5k
to eliminate them they must equal 0 when added:
15+5k=0
5k=-15
k=-3
so A) -3 is the solution