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kifflom [539]
3 years ago
15

What is the value of x in the equation 32(4x − 2) − 3x = 5 − (x + 2)?

Mathematics
2 answers:
Gwar [14]3 years ago
8 0

Answer:

x = 0.53

Step-by-step explanation:

32(4x − 2) − 3x = 5 − (x + 2)

128x - 64 - 3x = 5 - x - 2

125x - 64 = -x + 3

126x = 67

x = -0.53

Ierofanga [76]3 years ago
7 0

Step-by-step explanation:

Use the given functions to set up and simplify

Use the given functions to set up and simplify

x

x

.

x

=

x

=

32

(

4

x

−

2

)

−

3

x

=

5

−

(

x

+

2

)

=

x

=

67

126

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Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f
GalinKa [24]

Answer:

\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in \mathbb{R}.

\\f(x)=(x^2+16)(x^2-2x-15)

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}

And we can write in \mathbb{C}

f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
A rectangle's length and width are in a ratio of 11:3. The perimeter is 56 feet. What are the length and width?
frozen [14]

Answer:

Length=44feet

Width=12feet

Step-by-step explanation:

length:width=11:3

Perimeter=56feet

Sum of ratio=11+3

Sum of ratio=14

Length=11/14 x 56

Length=(11 x 56)/14

Length=616/14

Length=44feet

Width=3/14 x 56

Width=(3 x 56)/14

Width=168/14

Width=12feet

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3 years ago
A 4-meter ladder is placed against a wall so that it reaches a height of 3.7 m. To the nearest tenth of a meter, how far away fr
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Answer:

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3 years ago
Sheldon is making a steak for dinner. at first, the steak is at room temperature, 72°Friday. then, he places it on the grill, wh
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72 + 32 = 104 degrees. 
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104 - 30 = 74
So we went from 72 to 74 degrees, that is a 2 degree difference. 
This is what i got, i hope i understood the question correctly.v
6 0
3 years ago
Solve 2x^2+3x=20 by completing the square
ss7ja [257]

Answer:

-21x

I think I did the math and this is what I got.

4 0
3 years ago
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