The most he can buy for each cupcake is 1.25
Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0
2*(X-2+3x+5)=94 cm
4x+3 = 47
4x=44
x=11 cm
Answer:
The sum of the given vectors is ![[0,1,2]+[0,0,-3]=[0,1,-1]](https://tex.z-dn.net/?f=%5B0%2C1%2C2%5D%2B%5B0%2C0%2C-3%5D%3D%5B0%2C1%2C-1%5D)
Step-by-step explanation:
For the given vectors (which are R³ vectors), the sum is simply the sum of each coordinate, if a general vector is written as
![[x,y,z]](https://tex.z-dn.net/?f=%5Bx%2Cy%2Cz%5D)
<u>the sum of two vector will be in each coordinate at a time</u>.
To illustrate geometrically the resulting vector in the space xyz
![[0,1,-1]](https://tex.z-dn.net/?f=%5B0%2C1%2C-1%5D)
<em>we can say that the first coordinate is on the x-axis, the sencond on the y-axis, and the third one on the z-axis</em>, so the illustration will be a <em>vector starting from the center of coordinates, and ending in the coordinates 0 of the x-axis, 1 of the y-axis, and -1 of the z-axis</em>. <u>Or, in a plane yz (where x=0), a vector from the origin to the point 1 in y-axis, and -1 in z-axis</u>.
The answer to your question is 25