Answer: 336g.
Step-by-step explanation:
the formula for density is mass divided by volume (m/v). In this problem, you mus first find the volume of the square block. The formula for volume is length multiplied by width multiplied by height (LxWxH). To solve for volume you plug in the values to the equation: 6x4x2 = 48.
Now, you have the volume, and you have the density. Now you need to solve for mass. Plug in the values you have into the density equation (d=m/v):
7=m/48
to isolate M, multiply each side by 48. this leaves you with 7x48 = m. now all thats left is to solve. 7x48 = 336g. You can double check by plugging the values back into the equation. 336/48 = 7.
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,
.
4+4+4+4+4+4=24yd is the perimeter.
Answer:
72
Step-by-step explanation: