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Math Problems
Precalculus
Reflections of functions
Simplify by adding, subtracting, multiplying, or dividing, as indicated:
\newline
4017
−
3952
4017-3952
4017
−
3952
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Find the
x
x
x
-intercept and the
y
y
y
-intercept for the graph of the following equation.
\newline
6
x
−
5
y
=
0
6x-5y=0
6
x
−
5
y
=
0
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An isosceles triangle has congruent sides of
20
cm
20\text{cm}
20
cm
. The base is
10
cm
10\text{cm}
10
cm
. What is the area of the triangle?
\newline
A
=
81
cm
2
A=81\text{cm}^2
A
=
81
cm
2
\newline
a
=
9
a=9
a
=
9
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The amount of simple interest is calculated by which of the following formulas?
\newline
a
.
Interest
=
P
⋅
r
⋅
t
a. \quad \text{Interest} = P \cdot r \cdot t
a
.
Interest
=
P
⋅
r
⋅
t
\newline
b
.
Interest
=
(
r
n
+
1
)
t
b. \quad \text{Interest} = (\frac{r}{n}+1)^{t}
b
.
Interest
=
(
n
r
+
1
)
t
\newline
c
.
Interest
=
(
1
+
r
n
)
n
t
c. \quad \text{Interest} = (1+\frac{r}{n})^{nt}
c
.
Interest
=
(
1
+
n
r
)
n
t
\newline
d
.
Interest
=
(
1
+
r
n
)
n
t
d. \text{Interest} = (1+\frac{r}{n})^{nt}
d
.
Interest
=
(
1
+
n
r
)
n
t
\newline
e
.
Interest
=
P
⋅
r
⋅
t
e. \text{Interest} = P \cdot r \cdot t
e
.
Interest
=
P
⋅
r
⋅
t
\newline
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What is the discriminant of the quadratic equation
4
x
2
+
4
x
+
9
=
0
4 x^{2}+4 x+9=0
4
x
2
+
4
x
+
9
=
0
?
\newline
128
128
128
\newline
−
128
-128
−
128
\newline
−
160
-160
−
160
\newline
160
160
160
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What is the discriminant of the quadratic equation
4
x
2
+
3
x
−
6
=
0
4 x^{2}+3 x-6=0
4
x
2
+
3
x
−
6
=
0
?
\newline
−
105
-105
−
105
\newline
87
87
87
\newline
105
105
105
\newline
−
87
-87
−
87
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In the standard
(
x
,
y
)
(x,y)
(
x
,
y
)
coordinate plane, a circle with its center at
(
8
,
5
)
(8,5)
(
8
,
5
)
and a radius of
9
9
9
coordinate units has which of the following equations?
\newline
F.
(
x
−
8
)
2
+
(
y
−
5
)
2
=
81
(x-8)^{2}+(y-5)^{2}=81
(
x
−
8
)
2
+
(
y
−
5
)
2
=
81
\newline
G.
(
x
−
8
)
2
+
(
y
−
5
)
2
=
9
(x-8)^{2}+(y-5)^{2}=9
(
x
−
8
)
2
+
(
y
−
5
)
2
=
9
\newline
H.
(
x
+
8
)
2
+
(
y
+
5
)
2
=
81
(x+8)^{2}+(y+5)^{2}=81
(
x
+
8
)
2
+
(
y
+
5
)
2
=
81
\newline
J.
(
x
+
8
)
2
+
(
y
+
5
)
2
=
9
(x+8)^{2}+(y+5)^{2}=9
(
x
+
8
)
2
+
(
y
+
5
)
2
=
9
\newline
K.
(
x
+
5
)
2
+
(
y
+
8
)
2
=
81
(x+5)^{2}+(y+8)^{2}=81
(
x
+
5
)
2
+
(
y
+
8
)
2
=
81
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