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3 years ago

What is the quotient (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)? x + 2 x – 2 x + 10 x + 6

2 answers:

5 0

If you would like to solve (x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3), you can do this using the following steps:

(x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3<span>) = ((x + 1) * (x + 2) * (x + 3)) / ((x + 1) * (x + 3)) = x + 2
</span>
The correct result would be x + 2.

ratelena [41]3 years ago

4 0

Hello,

Answer A

x²+4x+3=(x+3)(x+1)

x^3+6x²+11x+6=(x+1)(x²+5x+6)

x²+5x+6=(x+2)(x+3)

so

x^3+6x²+11x+6=(x+1)(x+2)(x+3) (Horner's method)

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what is the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15,-5)

riadik2000 [5.3K]

Answer:

$y = -\frac53x + 20$

Step-by-step explanation:

Hello!

A line that is perpendicular to another has an opposite-reciprocal slope.

Meaning:

Flip the sign (+/-)
Flip the fraction

The slope perpendicular to 3/5 would be -5/3.

We can solve for the y-intercept by plugging in the x and y values given from the coordinate into the equation with out new slope.

<h3 /><h3>Solve for B</h3>

$y = -\frac53x + b$
$-5 = -\frac53(15) + b$
$-5 = -25 + b$
$20 = b$

The y-intercept of the new line is 20.

The equation is $y = -\frac53x + 20$

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2 years ago

Which distance measures 5 units?

beks73 [17]

Answer:

Step-by-step explanation:

The distance between point x and y

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2 years ago

Will correctly calculated 45 ÷ 6 as 7.5. How can he find 4,500 ÷ 6 without dividing?

Anastasy [175]

Add the zeros on to 7.5 to which you would move the decimal and it should be like this 750.0 or 750

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3 years ago

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Read 2 more answers

Which system of equations does this graph represent?

jeyben [28]

Answer:

Step-by-step explanation:

First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,

where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.

Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.

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2 years ago