Answer:
x^2 +x +1
Step-by-step explanation:
See below for the tableau. The quotient is x^2 +x +1.
___
The remainder is 2.
Length is 2 and width is 3
2 X 3 is 6
Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.
Answer:
the equation would be
8.4x = 23.94
Step-by-step explanation:
Let the price of each gallon of gas is $x.
And we have been given that 8.4 gallons of gas for $23.94.
So, we can make the below proportion
Cross multiplying, we get
Hence, the equation that can be used to determine the price of each gallon of gas is
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Answer:
Width = 7 cm
Length = 15 cm
Step-by-step explanation:
Let width = w
Length = w + 8
Area of rectangle = 105 sq. cm
length * breadth = 105
(w + 8)*w = 105
Use distributive property
w² + 8w = 105
w² + 8w - 105 = 0
Sum = 8
Product = -105
Factors = 15 , -7 {15 +(-7) = 8 & 15*(-7) = -105}
w² - 7m + 15m - 105 = 0
w(w - 7) + 15(m - 7) = 0
(w - 7)(w + 15) = 0
Ignore w + 15= 0 as measurements will not be in negative value
w - 7 = 0
w = 7
Width = 7 cm
Length = 7 + 8 = 15 cm
