Answer:
4
Step-by-step explanation:
Answer:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
Step-by-step explanation:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
Answer:
4
Step-by-step explanation:
Frank has 5 cards.
Steve has 3 cards.
Pat has 9 cards.
Therefore, Pat has 4 more cards than Frank.
Hope this helps!
Answer:
32
Step-by-step explanation:
77-45= 32
Answer:
y=-3/16(x-8)^2+12
Step-by-step explanation:
Refer to the vertex form equation for a parabola:
y=a(x-h)^2+k where (h,k) is the vertex.
Therefore, we have y=a(x-8)^2+12 as our equation so far. If we plug in (16,0) we can find a:
0=a(16-8)^2+12
0=64a+12
-12=64a
-12/64=a
-3/16=a
Therefore, your final equation is y=-3/16(x-8)^2+12
