To find the total price, we use this equation:
42 + 0.039(42)
We can make it simpler:
1.039(42)
Multiply:
43.638
Because we're rounding
The total price is $43.64
Answer: c
hope this helps!
We would need to know how many are in each box to figure this out.
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,
.
Answer:
Price of Caleb's groceries before tax = $64
Step-by-step explanation:
Let the price of groceries before tax be =$ ![x](https://tex.z-dn.net/?f=x)
Sales tax charged = $1.60
Sales tax rate =2.5%
Sales tax charged in terms of
will be = 2.5% of the Original price of grocery =![2.5\% of x = 0.025\times x=0.025x](https://tex.z-dn.net/?f=2.5%5C%25%20of%20x%20%3D%200.025%5Ctimes%20x%3D0.025x)
So, we have,
![0.025x=1.60](https://tex.z-dn.net/?f=0.025x%3D1.60)
Dividing both sides by ![0.025](https://tex.z-dn.net/?f=0.025)
![\frac{0.025x}{0.025}=\frac{1.60}{0.025}](https://tex.z-dn.net/?f=%5Cfrac%7B0.025x%7D%7B0.025%7D%3D%5Cfrac%7B1.60%7D%7B0.025%7D)
∴ ![x=64](https://tex.z-dn.net/?f=x%3D64)
∴ Price of Caleb's groceries before tax = $64