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Math Problems
Algebra 1
Complete the square
En appliquant la m\'ethode de Newton, avec une approximation de d\'epart \'egale \`a :
x
0
=
2
x_0 = 2
x
0
=
2
, pr\'esenter les
5
5
5
premi\`eres \'etapes de calcul it\'eratif d’un z\'ero (d’une racine) de la fonction :
f
(
x
)
=
3
⋅
x
5
−
2
⋅
x
4
+
4
⋅
x
2
−
7
f(x) = 3\cdot x^5 - 2\cdot x^4 + 4\cdot x^2 - 7
f
(
x
)
=
3
⋅
x
5
−
2
⋅
x
4
+
4
⋅
x
2
−
7
; donner les
5
5
5
r\'esultats avec au moins
5
5
5
d\'ecimales exactes ; commencer par \'ecrire la d\'eriv\'ee de cette fonction et la formule de Newton.
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Diketahui rumus fungsi
f
(
x
)
=
−
1
−
x
f(x)=-1-x
f
(
x
)
=
−
1
−
x
, tentukan nilai
f
(
−
2
)
f(-2)
f
(
−
2
)
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dratic equation
x
2
+
12
x
+
8
=
0
x^{2}+12 x+8=0
x
2
+
12
x
+
8
=
0
by completing the square.
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Complete the square for
x
2
+
6
x
+
?
x^{2}+6 x+?
x
2
+
6
x
+
?
to form a perfect square trinomial.
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ALEKS
\newline
rww-awu.aleks.com/alekscgi/x/lsl.exe/
10
10
10
_u-lgNsIkr
7
7
7
j
8
8
8
f
\newline
Algebraic Equations and Inequalities
\newline
Solving a word problem using a quadratic
\newline
A ball is thrown from a height of
40
40
40
meter
\newline
h
=
40
−
5
t
−
5
t
2
h=40-5 t-5 t^{2}
h
=
40
−
5
t
−
5
t
2
\newline
How long after the ball is thrown does it
\newline
Round your answer(s) to the nearest hun (If there is more than one answer, use th
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Make a perfect square
\newline
x
2
+
6
x
+
9
x^{2}+6 x+9
x
2
+
6
x
+
9
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The width of a rectangle is represented by
2
x
y
−
4
2xy-4
2
x
y
−
4
. The area is
4
4
4
less than twice the width. What is the length?
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Rewrite the function by completing the square.
f
(
x
)
=
x
2
−
2
x
+
1
=
0
f(x)= x^2-2x+1=0
f
(
x
)
=
x
2
−
2
x
+
1
=
0
f
(
x
)
=
(
x
+
_
)
2
+
_
f(x)=(x+\_)^2+\_
f
(
x
)
=
(
x
+
_
)
2
+
_
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Rewrite the function by completing the square.
f
(
x
)
=
x
2
−
16
x
−
100
f(x)=x^2-16x-100
f
(
x
)
=
x
2
−
16
x
−
100
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Find the values of
p
p
p
that will make the quadratic
(
5
p
−
1
)
x
2
−
4
x
+
(
2
p
−
1
)
(5p - 1)x^2 - 4x + (2p - 1)
(
5
p
−
1
)
x
2
−
4
x
+
(
2
p
−
1
)
a perfect square.
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
q
2
−
2
q
+
‾
q^2 - 2q + \underline{\hspace{2em}}
q
2
−
2
q
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
h
2
−
6
h
+
_
_
_
_
h^2 - 6h + \_\_\_\_
h
2
−
6
h
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
f
2
−
6
f
+
_
_
_
_
_
f^2 - 6f + \_\_\_\_\_
f
2
−
6
f
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
q
2
−
28
q
+
‾
q^2 - 28q + \underline{\hspace{2em}}
q
2
−
28
q
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
d
2
−
6
d
+
_
_
_
_
_
d^2 - 6d + \_\_\_\_\_
d
2
−
6
d
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
t
2
−
20
t
+
_
_
_
_
t^2 - 20t + \_\_\_\_
t
2
−
20
t
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
v
2
+
14
v
+
‾
v^2 + 14v + \underline{\hspace{3em}}
v
2
+
14
v
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
f
2
+
22
f
+
‾
f^2 + 22f + \underline{\hspace{2em}}
f
2
+
22
f
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
d
2
+
10
d
+
_
_
_
_
d^2 + 10d + \_\_\_\_
d
2
+
10
d
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
m
2
+
6
m
+
_
_
_
_
m^2 + 6m + \_\_\_\_
m
2
+
6
m
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
m
2
−
10
m
+
_
_
_
_
m^2 - 10m + \_\_\_\_
m
2
−
10
m
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
y
2
−
14
y
+
_
_
_
_
_
y^2 − 14y + \_\_\_\_\_
y
2
−14
y
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
p
2
−
4
p
+
_
_
_
_
_
p^2 - 4p + \_\_\_\_\_
p
2
−
4
p
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
s
2
−
16
s
+
_
_
_
_
s^2 - 16s + \_\_\_\_
s
2
−
16
s
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
v
2
+
8
v
+
_
_
_
_
v^2 + 8v + \_\_\_\_
v
2
+
8
v
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
q
2
+
4
q
+
_
_
_
_
q^2 + 4q + \_\_\_\_
q
2
+
4
q
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
t
2
−
8
t
+
_
_
_
_
t^2 - 8t + \_\_\_\_
t
2
−
8
t
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
u
2
+
16
u
+
_
_
_
_
u^2 + 16u + \_\_\_\_
u
2
+
16
u
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
f
2
−
26
f
+
‾
f^2 - 26f + \underline{\hspace{2em}}
f
2
−
26
f
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
z
2
−
18
z
+
‾
z^2 - 18z + \underline{\hspace{2em}}
z
2
−
18
z
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
p
2
+
2
p
+
_
_
_
_
p^2 + 2p + \_\_\_\_
p
2
+
2
p
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
h
2
+
12
h
+
_
_
_
_
h^2 + 12h + \_\_\_\_
h
2
+
12
h
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
g
2
+
18
g
+
‾
g^2 + 18g + \underline{\hspace{2em}}
g
2
+
18
g
+
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What is the missing constant term in the perfect square that starts with
x
2
−
12
x
x^2-12x
x
2
−
12
x
?
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What is the missing constant term in the perfect square that starts with
x
2
+
14
x
x^2+14x
x
2
+
14
x
?
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What is the missing constant term in the perfect square that starts with
x
2
+
18
x
x^2+18x
x
2
+
18
x
?
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What is the value of
k
k
k
that makes
49
x
4
−
k
x
2
y
2
+
36
y
4
49 x^{4}-k x^{2} y^{2}+36 y^{4}
49
x
4
−
k
x
2
y
2
+
36
y
4
a perfect square trinomial?
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Select the correct answer.
\newline
What is the degree of the polyromial tunction
(
x
)
=
2
x
2
+
7
x
3
−
4
x
−
12
(x)=2 x^{2}+7 x^{3}-4 x-12
(
x
)
=
2
x
2
+
7
x
3
−
4
x
−
12
.
\newline
4
4
4
.
3
3
3
\newline
6
6
6
.
5
5
5
\newline
C.
2
2
2
\newline
D
13
13
13
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
k
2
−
20
k
+
_
_
_
_
_
k^2 - 20k + \_\_\_\_\_
k
2
−
20
k
+
_____
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