Answer:
1.3
Step-by-step explanation:
Given number = 7.2
Divisor = 5.6
![\[\frac{7.2}{5.6} = \frac{7.2*10}{5.6*10}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B7.2%7D%7B5.6%7D%20%3D%20%5Cfrac%7B7.2%2A10%7D%7B5.6%2A10%7D%5C%5D)
![\[= \frac{72}{56}\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%5Cfrac%7B72%7D%7B56%7D%5C%5D)
Simplifying,
![\[= \frac{72\div 4}{56\div 4}\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%5Cfrac%7B72%5Cdiv%204%7D%7B56%5Cdiv%204%7D%5C%5D)
![\[= \frac{18}{14}\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%5Cfrac%7B18%7D%7B14%7D%5C%5D)
![\[= \frac{18\div 2}{14\div 2}\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%5Cfrac%7B18%5Cdiv%202%7D%7B14%5Cdiv%202%7D%5C%5D)
![\[= \frac{9}{7}\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%5Cfrac%7B9%7D%7B7%7D%5C%5D)
![\[= 1.285\]](https://tex.z-dn.net/?f=%5C%5B%3D%201.285%5C%5D)
![\[= 1.3\]](https://tex.z-dn.net/?f=%5C%5B%3D%201.3%5C%5D)
(to the nearest tenth)
Validating by multiplying the quotient and divisor,
![\[1.3 * 5.6\]](https://tex.z-dn.net/?f=%5C%5B1.3%20%2A%205.6%5C%5D)
![\[= 7.28\]](https://tex.z-dn.net/?f=%5C%5B%3D%207.28%5C%5D)
This is approximately equal to the dividend subject to rounding error.
Answer:
19 ft by 38 feets
Step-by-step explanation:
Given that :
Available fencing = 76 feets
Rectangular fencing with 3 sides
Let the 3 sides be :
x, x, y
x + x + y = 2x + y = 76
y = 76 - 2x
Area = x * y = xy
Area = (76 - 2x) * x
Area = 76x - 2x²
Take derivative of Area with respect to x ; dA
dA /dx = 76 - 4x = 0
76 - 4x = 0
-4x = - 76
x = 76 / 4
x = 19
2x + y = 76
2(19) + y = 76
38 + y = 76
y = 76 - 38
y = 38
Hence, dimension : 19feet by 38 feets
Answer:
Account 1:
3(2500 × 4/100) = 300
Account 2,
2500(1.035)³ - 2500 = 271.7946875
Slightly surprised because the riskier one should yield higher gain
The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary.
First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total.
Therefore, there is one real root and two imaginary roots.
Answer is B
Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots.
Answer is C) 3 real and 2 imaginary zeroes.
Answer:
LA = 322 meters squared
Step-by-step explanation:
LA = hp
= 26(2 + 5 + 5.39)
= 26(12.39)
= 322 meters squared rounded to the nearest whole number
The 4th choice
