Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Answer:
Hence the area of CD bought by Nathan is <em>22.2784 square inches.</em>
Step-by-step explanation:
The length and width of a CD bought by Nathan is inches.
As CD have the same length and width this means it will be of the shape of a square.
Hence, the area of CD is given by:
Area of CD=length×width
=
=
=
=
=
Hence the area of CD bought by Nathan is 22.2784 square inches.
Answer:
Two quantities can be compared by a ratio. As a fraction in the simplest form, a typical manner of expressing a ratio. If you compare the two numbers with distinct measuring units, this type of ratio is known as a rate. A rate is unit rate when it is 1. A rate is unit rate.
Step-by-step explanation:
Responder:
<em>a) 1
</em>
<em>b) 12
</em>
<em>c) 3
</em>
<em>d) -1 y 3
</em>
Explicación paso a paso:
Dadas las siguientes ecuaciones;
a) x²-x =0
x² = 0+x
x² = x
x = 1
b) -x²+12x = 0
-x² = -12x
x² = 12x
x = 12
c) 3x² - 9x = 0
Suma 9x a ambos lados
3x²-9x+9x = 0+9x
3x² = 9x
3x = 9
x = 9/3
x = 3
d) x²-2x-3 = 0
x²-3x+x-3 = 0
x(x-3)+1(x-3) = 0
(x+1)(x-3) = 0
x+1 = 0 y x-3 = 0
x = -1 y 3