Answer:
15/16 pages in a minute
Step-by-step explanation:
So to make a unit rate, you have to make the denominator 0. So (5/8)/(2/3) is 5/8*3/2 or 15/16. So that would be 15 pages in 16 minutes or 15/16 pages in a minute.
Answer:
An official playing field (including end zones) for the Indoor Football League has a length 29 yd longer than its width. The perimeter of the rectangular field is 158 yd. Find the length and width of the field
Step-by-step explanation:
We are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
First, we know that b must be -1 because the line hits the y-axis when y is -1
So this leaves us with either the first or second choice
Then we choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
So then we know the answer is y=3x-1
Hope this helps
Answer:
Step-by-step explanation:
You would do 10*0.06 to get 0.6
So her sold 60 cents worth of balloons
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,
.
