Answer:
He bought fifteen shirts.
Step-by-step explanation:
Divide the price of the shirts to mow much they each cost.
Answer:
x < 3
Step-by-step explanation:
Since 3x - 5 < 4 then we can transpose the inequality to make x the subject of the equation:
If 3x - 5 < 4
⇒ 3x < 4 + 5
⇒ x < 9 ÷ 3
⇒ x < 3
150. Divide 5000 by 100 and you get 50. Multiply 3 by 50 and you get 150.
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
