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____ [38]
3 years ago
7

Factor f(x) = 6x^4 - 9x^3 - 57x^2 - 18x +24

Mathematics
1 answer:
Kryger [21]3 years ago
7 0
3(x+1)(2x-1)(x-4)(x+2)
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tim earns $150/week plus $15.00 for each desk he assembles. Write an inequality to represent how many desks he needs assemble to
Gennadij [26K]

x = number of desks needed to make

equation:  150 +15.50x >= 400


solution:

150 +15.50x >=400

15.50x = 250

x = 250/15.50 = 16.129

he needs to assemble 17 desks

15.50*17 = 263.50 +150 = $413.50


3 0
3 years ago
21:29
Mama L [17]
Yes it is the answer that is last on the list because it is that answer
6 0
3 years ago
What are the exact solutions of x^2 − 3x − 7 = 0?
bulgar [2K]

<u>Given</u>:

The given equation is x^{2} -3x-7=0

We need to determine the exact solutions of the equation.

<u>Exact solution:</u>

The exact solution of the equation can be determined by solving the equation using quadratic formula,

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}

x=\frac{3 \pm \sqrt{9+28}}{2}

x=\frac{3 \pm \sqrt{37}}{2}

Thus, the exact solutions of the given equation is x=\frac{3 \pm \sqrt{37}}{2}

Hence, Option A is the correct answer.

6 0
3 years ago
QUESTION 1
Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is

<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)

The cosine of the angle between the vectors can be obtained from the dot product identity,

<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>)   ==>   cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)

so that

<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)

For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is

<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   <em>W</em> ≈ 5.12 J

(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).

3 0
3 years ago
I have no idea how to solve this. <br> |x-3|=|5-x|
erica [24]
4-3=1 and 5-4= 1 so it's 4
3 0
3 years ago
Read 2 more answers
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