Answer:
y - 14.95 = 18.075(x-1)
Step-by-step explanation:
If an internet company charges $14.95 per month and a setup fee, then we can say
1 month = $14.95
If the total cost for 9 months is $159.55
Then we can write both cases as a coordinate (1, 14.95) and (9,159.55)
The equation of a line in point slope form is expresses as
y-y0 = m(x-x0)
Find the slope m
m = 159.55-14.95/9-1
m = 144.6/8
m = 18.075
Substitute m = 18.075 and any of the coordinate in the equation to have;
Using the coordinate (1, 14.95)
y - 14.95 = 18.075(x-1)
Hence a linear equation in point-slope form that model the situation is y - 14.95 = 18.075(x-1)
Answer:
The second choice is correct.
Step-by-step explanation:
The softball cannot be anything under 180 grams because that would go past the ten gram limit. As well as the ball cannot go any higher than 200 grams.
Answer:
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,
.
