Drag each expression to show whether it is equivalent to −2.6−(−5.9) -2.6 x - -5.9 x , −2.6+(−5.9) -2.6 x + -5.9 x , or neither.
1 answer:
Answer:
is equivalent to
and
is equivalent to
and
.
The expressions which are equivalent to neither:
and
Step-by-step explanation:
Given the expressions:
1)
2)
To find:
The expressions equivalent to the given expressions.
or the expressions which are not equivalent to any of the given expressions.
Solution:
First of all, let us solve the brackets from the given expressions.
can be written as
(because when we multiply a negative sign with negative, it becomes positive.)
Similarly can be written as
(because when we multiply a positive sign with negative, it becomes negative.)
Therefore, the answer is:
is equivalent to
and
is equivalent to
and
.
The expressions which are equivalent to neither:
and
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Answer:
Electric car = Exponential function (decreasing cost)
Gasoline car = Exponential function (increasing cost)
Step-by-step explanation:
The given data the Electric car, we have;
Time (years) Cost (thousands of dollars)
0 35
5 27
10 21
15 16
20 12.5
The difference between successive term is such that each term decreases by approximately the same percentage given as follows
1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease
2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease
3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease
4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease
Therefore. the electric car is best approximated by exponential function
The given data the Gasoline car, we have;
Time (years) Cost (thousands of dollars)
0 35
5 40.2
10 46.3
15 53.2
20 61.2
The difference between successive term is such that each term increases by approximately the same percentage given as follows
1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease
2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease
3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease
4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease
Therefore. the Gasoline car is best approximated by exponential function