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2 years ago

13

The polynomial equation x^3-4x^2+10=x^2-5x-3 has complex roots 3+2i What is the other root? Use a graphing calculator and a syst

em of equations.

1 answer:

siniylev [52]2 years ago

4 0

Answer:

2

Step-by-step explanation:

1

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Graph the function h(x) = -x + 6

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2 years ago

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Complete the square to the problem X^2+6x-16=0

marishachu [46]

Answer:

<h2>x = -8 or x = 2</h2>

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}$

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3 years ago

Which table shows a no change linear relationship?

Phantasy [73]

Answer:

C

Step-by-step explanation:

Each of the tables is a linear relationship. Linear relationships increase or decrease steadily by adding or subtracting a constant. Table A increases by 5. Table B decreases by 2. Table C doesn't change. Table D increase by 4.

A "no change" means the y values never change. The constant is 0 and is a horizontal line. Table C is the solution.

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3 years ago

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The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .

sammy [17]

Answer:

$32,24,18,\frac{27}{2} ,\frac{81}{8}$

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is $32,x,y,z,\frac{81}{8}$

Recall that term of a geometric sequence are generally in the form:

$a,ar,ar^2,ar^3,ar^4$

This implies that:

a=32 and $ar^4=\frac{81}{8}$

Substitute a=32 and solve for r.

$32r^3=\frac{81}{8}$

$r^4=\frac{81}{256}$

Take the fourth root to get:

$r=\sqrt[4]{\frac{81}{256} }$

$r=\frac{3}{4}$

Therefore $x=32*\frac{3}{4} =24$

$y=24*\frac{3}{4} =18$

$z=18*\frac{3}{4} =\frac{27}{2}$

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2 years ago

What is the place value of the 2 in 6,025

Ray Of Light [21]

Answer: tens

Step-by-step explanation: the number 2 is in the tens place because 6,025= 6 is in the thousands place 0 is in the hundredths place 2 is in the tens place and 5 is in the ones place

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2 years ago