All Tasks - Asymptote

Use the following function rule $f(x)=x^2$ to fill in the following blanks

Which of the following functions are quadratic? $i. x+2y-3y²=5$ $ii. y=x^2+3x+2$ $iii. y+x^2=3χ+2$ $iv. y=3+2x^3+3x$ $v. y=χ²+3$ $vi. y=3(x-2)(x-3)$ $vii. xy=12$ $viii. y=-2(x-4)^2$ $ix. y-4=x^2+2x+\sqrt3$ $x. 3x^2+x-2=0$ $xi. 3-2y=0$

The kinetic energy of an object is given by the equation :$ K=\frac{1}{2}mv²$. If two objects with mass $3 kg$ and $12 kg$ have: a) the same kinetic energy, which object has the biggest velocity? b) the same velocity, which object have the biggest energy?

A farmer has divided his field into 10 isembadic squares and in each one sows a different kind of vegetable. A. Can you find the function that expresses the area of the field? B. Ιf each square has a side of 40m find the area of the field.

Find $a$ if the graph of quadratic function$f(x) = (2a+3)x^2$ is passing through the point $A(3,45)$

Peter finds a bag with 50 coins inside. The bag only contains coins of 2 cents and 5 cents (of Euro €). If the total value of the coins is 1.81€, how many more 5 cents coins are there than 2 cents coins?