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Mama L [17]
3 years ago
8

8x-11=37 what does x equal

Mathematics
1 answer:
Doss [256]3 years ago
8 0

Answer:

x=6

Step-by-step explanation:

8x-11=37

Add 11 to both sides

8x=48

Divide 8 from both sides

x=6

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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
Ms Eisner pays $888 for 6 nights in a hotel how much does ms Eisner
Marina86 [1]
148 because you would divide 888 by 6 Which gives you 148
3 0
2 years ago
Can anyone help me asap plzz.Solve the inequality. (a + 5.7 > –2.3) (A)a > 3.4 (B)a > 8 (C)a > –3.4 (D)a > –8
Eduardwww [97]

Answer:

Solve the inequality. a + 5.7 > –2.3

(A)a > 3.4

(B)a > 8

(C)a > –3.4

<u>(D)a > –8</u>

Step-by-step explanation:

a+5.7>-2.3\\-5.7    \\a>-8

8 0
3 years ago
What is tan 45°? √2 1 45° 90° A. √2 ​
yarga [219]

Answer:

suusajsjshshshsshahahsh

6 0
2 years ago
please answer right ill give brainliest don't submit a wrong answer if u just want the points comment and ill help u get a lot m
disa [49]

Answer:

Y=x(squared)

Step-by-step explanation:

Use this equation to get x and y from the table

5 0
3 years ago
Read 2 more answers
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