Answer:
a proportional relationship exists if the ratio of values is a constant
Step-by-step explanation:
The equation describing a proportional relationship is ...
y = kx
If you are given a table of values of x and y, they will be proportional if ...
y/x = k
for all (x, y) pairs.
Answer:
The width cannot be negative, so w = 9, l = 16.
Step-by-step explanation:
w = the width
l = w +7
A = l · w
A= w ( w + 7 )
144 = w2 + 7w
0 = w2 + 7w - 144
0 = ( w - 9 )( w + 16 )
The width cannot be negative, so w = 9, l = 16.
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
3
-
b
3
=
(
a
-
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
2
a
=
x
2
and
b
=
y
b
=
y
.
(
x
2
−
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
(
x
2
-
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
Multiply the exponents in
(
x
2
)
2
(
x
2
)
2
.
Answer:
y = 2
Step-by-step explanation:
6y + 3 = 4y + 7
6y - 4y = 7 - 3
2y = 4
<em>y = 2</em>
Answer:
x is less than -7
Step-by-step explanation:
I'm not sure how to get the greater than or less than symbols, so I used the "greater/less than or equal to" symbols to represent those...
