2.5 pounds of grain cost ======= $1.75
∴ 5.3 pounds of grain will cost ===== (5.3×1.75)/2.5 = $3.71
The roots of the polynomial equation x superscript 4 baseline x cubed = 4 x squared 4 x are –2, –1, 0, 2.
The polynomial equation is given as:
![x^4+x^3-4x^2-4x=0\\x(x^3+x^2-4x-4)=0\\x=0\\OR\\\\x^3+x^2-4x-4=0\\(x-2)(x+2)(x+1)=0\\x=-1,-2,0,2](https://tex.z-dn.net/?f=x%5E4%2Bx%5E3-4x%5E2-4x%3D0%5C%5Cx%28x%5E3%2Bx%5E2-4x-4%29%3D0%5C%5Cx%3D0%5C%5COR%5C%5C%5C%5Cx%5E3%2Bx%5E2-4x-4%3D0%5C%5C%28x-2%29%28x%2B2%29%28x%2B1%29%3D0%5C%5Cx%3D-1%2C-2%2C0%2C2)
Learn more about Polynomials:
brainly.com/question/13769924
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The formula to find how many different ways are there to choose a subgroup of r things from a group of n things is
![\frac{n!}{(n-r)!}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D)
Here, you have 7 trophies and you want to choose 4 of them, so you have
![\frac{7!}{(7-4)!}\text{ = }\frac{5040}{6}=840](https://tex.z-dn.net/?f=%5Cfrac%7B7%21%7D%7B%287-4%29%21%7D%5Ctext%7B%20%3D%20%7D%5Cfrac%7B5040%7D%7B6%7D%3D840)
So there are 840 ways to choose your 4 trophies out of the 7 you have.
Answer:
Option b) is correct
Step-by-step explanation:
We know that
The volume of the rectangular prism= (length
width
height) units
Given that the volume of the rectangular prism with a length 2units, a width of 5 units and a height of 10 units
volume of the rectangular prism![={2\times5\times10} units](https://tex.z-dn.net/?f=%3D%7B2%5Ctimes5%5Ctimes10%7D%20units)
Therefore,
volume of the rectangular prism![=100 units](https://tex.z-dn.net/?f=%3D100%20units)
-6, -4, -1, 3, 7
Hope this helps!