Which pair of rectangles are similar
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Barry found a computer at Staples for $989. A week later, the computer went on sale for $849. The percentage change is 14.156 % decrease
<em><u>Solution:</u></em>
Given that Barry found a computer at Staples for $989
A week later, the computer went on sale for $849
To find: percent of change
Percent change is the extent to which a variable gains or loses value. The figures are arrived at by comparing the initial (or before) and final (or after) quantities according to a specific formula.
<em><u>THE PERCENT CHANGE IS GIVEN AS:</u></em>
If the result is positive, it is percentage increase
If the result is negative, it is percentage decrease
Here initial value = 989 and final value = 849
Substituting the values in above formula,
Here negative sign denotes percentage decrease
Thus percentage change is 14.156 % decrease
Write the polynomial as an equation.
y
=
x
3
−
2
x
2
−
3
x
+
6
y
=
x
3
-
2
x
2
-
3
x
+
6
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
x
3
−
2
x
2
−
3
x
+
6
0
=
x
3
-
2
x
2
-
3
x
+
6
Replace
y
y
with
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
The result can be shown in multiple forms.
Exact Form:
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
Decimal Form:
x
=
2
,
1.73205080
…
,
−
1.73205080
…
y
=
x
3
−
2
x
2
−
3
x
+
6
y
=
x
3
-
2
x
2
-
3
x
+
6
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
x
3
−
2
x
2
−
3
x
+
6
0
=
x
3
-
2
x
2
-
3
x
+
6
Replace
y
y
with
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
The result can be shown in multiple forms.
Exact Form:
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
Decimal Form:
x
=
2
,
1.73205080
…
,
−
1.73205080
…