Let's use the variable, x, to represent the unknown number.
We can represent the words, "the sum of a number and six, as : x + 6
The words, " 2 less than the sum", can be represented as: x + 6 - 2
The words, "the product of the number and three", can be written as: 3x
Now create an equation using "is equal to" to join the expressions:
x + 6 -2 = 3x
Now combine like terms and use inverse operations to solve for x:
x + 6 -2 = 3x
x + 4 = 3x
x + 4 - x = 3x - x
4 = 2x
4/2 = 2x/2
2 = x
The unknown number is 2
Descartes' rule of signs tells you the one sign change in the coefficients means there's one positive real root. If you change the sign of the odd-power terms, the signs become -++-, so have two sign changes. This means there are 0 or 2 negative real roots.
A graph shows there to be 3 real roots, two of which are negative. Thus there are no complex roots.
<span>Dayson has 1 m2 of wrapping paper, which is 10000 cm2:
1 m = 100 cm
1 m^2 = (100 cm)^2
</span>1 m^2 = 10000 cm^2
<span>The package has a surface area of cm2:
A = 2*(50*20) + </span>2*(50*18) + 2*(18*20)
A = <span>
<span>4520 cm^2
</span></span>The area of the package is less than the area of the wrapping paper (4520 cm^2 < 10000 cm^2<span>). So, Dayson cover the package with the wrapping paper.</span>
What is the shape? do you have a photo?