-2(4x - 4) + x Need help Show work
2 answers:
Answer:
x
2
−4x+4=0
To solve the equation, factor x
2
−4x+4 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−4
ab=4
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 4.
−1,−4
−2,−2
Calculate the sum for each pair.
−1−4=−5
−2−2=−4
The solution is the pair that gives sum −4.
a=−2
b=−2
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−2)(x−2)
Rewrite as a binomial square.
(x−2)
2
To find equation solution, solve x−2=0.
x=2
Step-by-step explanation:
hope this helped heres a graph
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Answer:
Volume of the gigantic fridge is 2.5 times the volume of regular fridge.
Step-by-step explanation:
This question is incomplete; here is the complete question.
Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.
How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?
Area of the base, Height, Price
Regular Fridge: 1m² / 2m / $200
Large Fridge: 2m² / m / $600
In this question cost of the large fridge is 3 times as much as the regular fridge.
Area of the base of regular fridge = 1m²
Height of the regular fridge = 2m
So volume of this fridge = 1×2 = 2m³
Area of the base of the large fridge = 2m²
Height of the large fridge = m
Volume of the large fridge = = 5m³
Ratio of the volumes of the large and regular fridge =
Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.