Andre says, “I multiplied 4 by 5, then cubed the result.” Select all expressions that equal Andre’s answer.
2 answers:
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Answer:
132 kilometers
Step-by-step explanation:
Given: Pamela drove her car 99 kilometers and used 9 liters of fuel.
To find: Number of kilometers Pamela drove in 12 liters of fuel.
Solution:
It is given that Pamela drove her car 99 kilometers and used 9 liters of fuel. Also the relationship between kilometers and fuel is proportional.
So, let us assume that she can travel x kilometers in 12 liters of fuel.
By proportionality we have,
Hence, she can travel 132 kilometers in 12 liters of petrol.
Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± = ± i