Answer:
An equivalent expression = 8b + (-4)
Step-by-step explanation:
In Mathematics, numbers exhibit or are guided by certain properties that they can show.
Some of those of properties are :
a) Commutative property where:
a + b = b + a
b) Associative property
a+( b + c) = (a + b) + c
c) Additive inverse property
a - b = a + ( - b)
For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.
An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.
Hence, using the Additive inverse property
a - b = a + ( - b)
The equivalent expression for 8b - 4 = 8b + ( -4)
Answer:
D
Step-by-step explanation:
We expect the height of a helium balloon to be increasing, up to the point where it bursts.
The only graph that shows consistently increasing altitude with a final drop is graph D.
_____
<em>Additional comment</em>
The graph of D shows the altitude increases at an increasing rate. The buoyancy force decreases with altitude, so we expect the balloon would actually have a decreasing rate of altitude increase. The actual curve would likely be concave downward.
Let original Hieght be X
reduction = 32% = 32/100 X
new hieght = 4.42 m
now, 4.42 = X + 32/100 X
4.42 = 132/100 X
X = 4.42 * 100 / 132
X = 3.34 m
Original Hieght = 3.34 m
100 percent / 6 =16.6 reoccurring times 5 = 83.3 reocurring
