For this case we have a function of the form 
, where
To find the real zeros we must equal zero and clear the variable "x".
We add 10 to both sides of the equation
We apply cube root to both sides of the equation:
![\sqrt[3]{(x-12)^3} = \sqrt[3] {10}\\x-12 = \sqrt[3] {10}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28x-12%29%5E3%7D%20%3D%20%5Csqrt%5B3%5D%20%7B10%7D%5C%5Cx-12%20%3D%20%5Csqrt%5B3%5D%20%7B10%7D)
We add 12 to both sides of the equation:
![x-12 + 12 = \sqrt[3] {10} +12\\x = \sqrt[3] {10} +12](https://tex.z-dn.net/?f=x-12%20%2B%2012%20%3D%20%5Csqrt%5B3%5D%20%7B10%7D%20%2B12%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%20%7B10%7D%20%2B12)
Answer:
Option D
Answer:
8,425.47
Step-by-step explanation:
Total Principal: $7,900.00
Total Interest: $525.47
interest rate of 1.29% compound quarterly is equivalent to annual rate of 1.296%
Answer:
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
3
)
2
Add the term to each side of the equation.
x
2
−
6
x
+
(
−
3
)
2
=
22
+
(
−
3
)
2
Simplify the equation.
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x
2
−
6
x
+
9
=
31
Factor the perfect trinomial square into
(
x
−
3
)
2
.
(
x
−
3
)
2
=
31
Solve the equation for
x
.
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x
=
±
√
31
+
3
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
31
+
3
Decimal Form:
x
=
8.56776436
…
,
−
2.56776436
…
Step-by-step explanation:
thats took a while lol
Answer:
1 ten and 3 ones
Step-by-step explanation:
ten + three is 13. Hence, one ten and three ones.
Answer:
32 mm²
Step-by-step explanation:
perimeter of left rectangle = 2(9 mm + 3 mm) = 24 mm
length of right rectangle = L
perimeter of right rectangle = 2(L + 4 mm) = 2L + 8
perimeter of right rectangle = 24 mm
The perimeter of the right triangle is 2L + 8 and also 24, so 2L + 8 must equal 24. We can solve for L and find the length of the right rectangle.
2L + 8 = 24
2L = 16
L = 8
area of right triangle = length × width
area = 8 mm × 4 mm
area = 32 mm²
