Create the quadratic function that contains the points (0, -2), (1, 0) and (3, 10).

f(x) = x^2 + x - 2.

Step-by-step explanation:

We can write it in factor form as follows:

y =  a(x - 1)(x + c)

It's x - 1 because  1 is given as a root of the equation and a and c are constants.

Substituting the other given points:

-2 = a(0 - 1)(0 + c)

-ac = -2

ac = 2

Also:

10 = a(3 - 1)(3 + c)

10 = 2a(3 + c)

6a + 2ac = 10

But ac = 2, so:

6a + 4 = 10

6a = 6

a = 1.

ac = 2 so c = 2.

So our equation is  f(x) = (x - 1)(x + 2)

or f(x) = x^2 + x - 2.

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75