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Genrish500 [490]
2 years ago
9

Multiply: (x + 3)(x – 4) What is the middle term in the simplified product? x –x 3x -4x

Mathematics
2 answers:
daser333 [38]2 years ago
6 0

Answer:

-x is the middle term

Step-by-step explanation:

Expanding the function (x + 3)(x – 4)

= x(x)-4x+3x-3(4)

= x²-4x+3x+12

= x²-x+12

This gives the simplified form of the expansion.

In the resulting equation, the middle term is -x

Phoenix [80]2 years ago
5 0
-x

This is because when you distribute, you get a -4x and a 3x. Then you simplify them to get -x
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Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5 Mark
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6^2

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The square root of a perfect square is a rational number.

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Without properly working spark plugs, a vehicle will not run. For a specific vehicle, the spark plugs are supposed to have a gap
Salsk061 [2.6K]

Answer:

<em>The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.</em>

<em>P(3.9≤X≤4.3)  = 0.9922</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the mean of the Normal distribution = 4.1mm</em>

<em>Given that the standard deviation of the Normal distribution = 0.0075mm</em>

<em>Let 'X' be the random variable in a normal distribution</em>

Given that X₁ = 3.9mm

Z_{1} = \frac{X_{1} -mean}{S.D}

Z_{1} = \frac{3.9 -4.1}{0.075} =  -2.666

Given that X₂ = 4.3mm

Z_{2} = \frac{X_{2} -mean}{S.D}

Z_{1} = \frac{4.3 -4.1}{0.075} =  2.666

<u><em>Step(ii):-</em></u>

<em>The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.</em>

<em>P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)</em>

<em>                      = P(Z≤2.666)-P(Z≤-2.666)</em>

<em>                     = 0.5 +A(2.666) - (0.5-A(2.666)</em>

<em>                    = 2 × A(2.666)</em>

<em>                  = 2×0.4961</em>

<em>                  = 0.9922</em>

<u><em>Final answer:-</em></u>

<em>The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.</em>

<em>P(3.9≤X≤4.3)  = 0.9922</em>

<em></em>

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