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Igoryamba
4 years ago
9

PLEASE HELP 6x+9/3x-15 × x-5/4x+6 ???????

Mathematics
1 answer:
kicyunya [14]4 years ago
6 0
<span><span><span><span>6x+93x</span>−15x</span>−54x</span>+6

</span><span>=<span><span><span><span>6x+3x+</span>−15x</span>+<span>−54x</span></span>+6

</span></span>Combine Like Terms:

<span>=<span><span><span>6x+3x+−15x</span>+<span>−54x</span></span>+6

</span></span><span>=<span><span>(<span><span>6x+3x+−15x</span>+<span>−54x</span></span>)</span>+<span>(6<span>)

</span></span></span></span>= <span><span><span>−29/4</span>x </span>+ <span>6</span></span>
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Answer:

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B(0,2)\to B''(1,0)

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D(-2,4)\to D''(-1,2)

Step-by-step explanation:

The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).

The transformation rule for 90° counterclockwise rotation is

(x,y)\to(-y,x)

This implies that:

A(-1,4)\to A'(-4,-1)

B(0,2)\to B'(-2,0)

C(1,2)\to C'(-2,1)

D(2,4)\to D'(-4,2)

This is followed by a translation 3 units to the right.

This also has the rule: (x,y)\to (x+3,y)

A'(-4,-1)\to A''(-1,-1)

B'(-2,0)\to B''(1,0)

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Therefore:

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Expression is equivalent question
kiruha [24]

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kakasveta [241]
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GuDViN [60]

Answer:

P = 0.1447

Step-by-step explanation:

Given

n = 7000 -- total

d = 180 --- defective

r = 6 --- selected

Required

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This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

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Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}

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Using the complement rule, the probability that the batch will be rejected is:

P = 1 - 0.8553

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