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kotykmax [81]
3 years ago
14

Factor the polynomial using the pattern. x2 + 3x - 54

Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer:

(x+9)×(x-6)

Step-by-step explanation:

1) x²+3x-54

Write <em>3x</em> as a difference

x²+9x-6x-54

2) x²+9x-6x-54

Factor out <em>x</em> from the expression

x×(x+9)-6x-54

3) x×(x+9)-6x-54

Factor out <em>-6</em> from the expression

x×(x+9)-6×(x+9)

4) x×(x+9)-6(x+9)

Factor out <em>x + 9 </em><em>from the expression</em>

(x+9)(x-6)

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scoundrel [369]

Answer:

Option C

Step-by-step explanation:

The sum of finite geometric sequence states the following:

s_{n} =Σa_{i} r^{i-1} = a_{1}(\frac{1-r^{n} }{1-r} )

In this case, r = \frac{900}{1500} = \frac{9}{15} = \frac{3}{5}, and i = 10

Therefore,

1500( 1 + \frac{3}{5} + (\frac{3}{5})^{3} + (\frac{3}{5})^{4} + (\frac{3}{5})^{5} + (\frac{3}{5})^{6} + (\frac{3}{5})^{7} + (\frac{3}{5})^{8} + (\frac{3}{5})^{9}) = 1500( 2,4848) = 3.727, 3251 ≈  3.727

Therefore, the correct answer is the option C

5 0
3 years ago
Two minor league baseball players got a total of 292 292 hits. washington had 18 18 more hits than sanchez. find the number of h
koban [17]
Let number of hits by Sanchez be x.

Number of hits by Washington = 18 + x

Total number of hits = 292

x + 18 + x = 292

2x + 18 = 292

2x = 274

x = 137

Hence, Sanchez has 137 hits and Washington has 155 hits.
7 0
4 years ago
PLEASE HELP ! find the value of x.
AnnZ [28]

Answer:

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Step-by-step explanation:

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Wewaii [24]

Answer:

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Step-by-step explanation:

These graphs are of position, so the slope of the graph is the change of position with time, which is velocity. When the slope is positive, the velocity is positive, meaning its direction is to the right. When the slope is negative, the velocity is negative, meaning its direction is to the left.

When the slope is zero, the object is stationary (not moving). The position remains as it was.

1. The position vs. time curve is a straight line with positive slope. The object is moving to the right with constant velocity.

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2. The position vs. time curve is a straight line with negative slope. The object is moving to the left with constant velocity.

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3. The position vs. time curve is flat for a while, then increasing with constant slope. The object stayed where it was for a while, then began moving to the right (to larger values of x) with constant velocity.

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4 years ago
a waiter earns 128$ for 6 hours of work the total included 86 in tips how much does the waiter earn each hour?
matrenka [14]

Answer: the waiter earns $7 for each hour

Step-by-step explanation:

You take away the tips from the total, then divide by the 6 hours of work. You get $7.

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