Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)

One possible equation is , which is equivalent to .

Step-by-step explanation:

The factor theorem states that if  (where is a constant) is a root of a function, would be a factor of that function.

The question states that and are -intercepts of this function. In other words, and would both set the value of this quadratic function to . Thus, and would be two roots of this function.

By the factor theorem, and would be two factors of this function.

Because the function in this question is quadratic, and would be the only two factors of this function. In other words, for some constant ():

.

Simplify to obtain:

.

Expand this expression to obtain:

.

(Quadratic functions are polynomials of degree two. If this function has any factor other than and , expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of corresponds to a distinct quadratic function with -intercepts and . For example, with :

, or equivalently,

.

answer: a and b

step-by-step explanation:

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies