Answer:
5
Step-by-step explanation:
If we consider half the first purchase, it is
2 used + 1 new = $42
And the second purchase is
6 used + 1 new = $78
Subtracting the first of these equations from the second, we get ...
4 used = $(78 -42) = $36
used = $9 . . . . . . . . . . . . . . divide by 4
Then we can find the price of a new game from ...
new = $42 - 2 used = $42 -2·9 = $24
___
The number of used games Janet can purchase on her budget is ...
($120 -3·$24)/$9 = $48/$9 = 5 1/3 ≈ 5
Janet can purchase 5 used and 3 new video games for $120. (and have $3 left)
{2×[20×5]+68} could be your answer because 20×5 is 100 and 2×100 is 200. 200+68 is 268
Answer:
The side length is 2 cm
Step-by-step explanation:
The volume of a cube is s^3
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^ 1/3
2 = s
The side length is 2 cm
<h2>
Answer:</h2>
The possible formula for a fourth degree polynomial g is:
<h2>
Step-by-step explanation:</h2>
We know that if a polynomial has zeros as a,b,c and d then the possible polynomial form is given by:
Here the polynomial g has a double zero at -2, g(4) = 0, g(3) = 0.
This means that the polynomial g(x) is given by:
![g(x)=m(x-(-2))^2(x-4)(x-3)\\\\i.e.\\\\g(x)=m(x+2)^2(x-4)(x-3)\\\\i.e.\\\\g(x)=m(x^2+2^2+2\times 2\times x)(x(x-3)-4(x-3))\\\\i.e.\\\\g(x)=m(x^2+4+4x)(x^2-3x-4x+12)\\\\i.e.\\\\g(x)=m(x^2+4+4x)(x^2-7x+12)\\\\i.e.\\\\g(x)=m[x^2(x^2-7x+12)+4(x^2-7x+12)+4x(x^2-7x+12)]\\\\i.e.\\\\g(x)=m[x^4-7x^3+12x^2+4x^2-28x+48+4x^3-28x^2+48x]\\\\i.e.\\\\g(x)=m[x^4-7x^3+4x^3+12x^2+4x^2-28x^2-28x+48x+48]\\\\i.e.\\\\g(x)=m[x^4-3x^3-12x^2+20x+48]](https://tex.z-dn.net/?f=g%28x%29%3Dm%28x-%28-2%29%29%5E2%28x-4%29%28x-3%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%28x%2B2%29%5E2%28x-4%29%28x-3%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%28x%5E2%2B2%5E2%2B2%5Ctimes%202%5Ctimes%20x%29%28x%28x-3%29-4%28x-3%29%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%28x%5E2%2B4%2B4x%29%28x%5E2-3x-4x%2B12%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%28x%5E2%2B4%2B4x%29%28x%5E2-7x%2B12%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%5Bx%5E2%28x%5E2-7x%2B12%29%2B4%28x%5E2-7x%2B12%29%2B4x%28x%5E2-7x%2B12%29%5D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%5Bx%5E4-7x%5E3%2B12x%5E2%2B4x%5E2-28x%2B48%2B4x%5E3-28x%5E2%2B48x%5D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%5Bx%5E4-7x%5E3%2B4x%5E3%2B12x%5E2%2B4x%5E2-28x%5E2-28x%2B48x%2B48%5D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%5Bx%5E4-3x%5E3-12x%5E2%2B20x%2B48%5D)
Also,
i.e.
Hence, the polynomial g(x) is given by:
