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Black_prince [1.1K]
3 years ago
6

Simplify (5 - p2 - 4q) - ( -2 + q - 3p2) plss hurry!!!!

Mathematics
2 answers:
jonny [76]3 years ago
5 0

Answer:

2p^2−5q+7

Step-by-step explanation:

Let's simplify step-by-step.

5−p2−4q−(−2+q−3p2)

Distribute the Negative Sign:

=5−p2−4q+−1(−2+q−3p2)

=5+−p2+−4q+(−1)(−2)+−1q+−1(−3p2)

=5+−p2+−4q+2+−q+3p2

Combine Like Terms:

=5+−p2+−4q+2+−q+3p2

=(−p2+3p2)+(−4q+−q)+(5+2)

=2p2+−5q+7

Answer:

=2p^2−5q+7

Grace [21]3 years ago
5 0

Answer:

2p²−5q+7

Explanation:

5−p²−4q−(−2+q−3p²)

Distribute the Negative Sign:

=5−p²−4q+−1(−2+q−3p²)

=5+−p²+−4q+(−1)(−2)+−1q+−1(−3p²)

=5+−p2+−4q+2+−q+3p2

Combine Like Terms:

=5+−p²+−4q+2+−q+3p²

=(−p²+3p²)+(−4q+−q)+(5+2)

=2p²+−5q+7

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You can set up two equations from the information given. I will set them up for you:

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Let's solve the first equation to come up with a value for y.

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Now we plug y into the other equation.

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3 0
3 years ago
Bill and George go target shooting together. Both shoot at atarget at the same time. Suppose Bill hits the target withprobabilit
german

Answer: (a) \frac{2}{9}       (b) \frac{6}{41}

Step-by-step explanation:

(a) P( Bill hitting the target) = 0.7        P( Bill not hitting the target) = 0.3

    P( George hitting the target) = 0.4     P(George not hitting the target) = 0.6

Now the chances that exactly one shot hit the target is = 0.7 x 0.6 + 0.4 x 0.3

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Chances that George hit the target is = 0.4 x 0.3 = 0.12

So given that exactly one shot hit the target, probability that it was George's shot = \frac{0.12}{0.54} = \frac{2}{9} .

(b) The numerator in the second part would be the same as of (a) part which is 0.12.

The change in the denominator will be that now we know that the target is hit so now in denominator we include the chance of both hitting the target at same time that is 0.4 x 0.7 and the rest of the equation is same as above i.e.

Given that the target is hit,probability that George hit it =                                                 \frac{0.4\times 0.3}{0.7\times 0.6 +0.4\times 0.3+0.4\times 0.7}  = = \frac{6}{41}                                                                        

                                                                                           

6 0
3 years ago
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3 years ago
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9514 1404 393

Answer:

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Step-by-step explanation:

Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.

Emma's flight is farther from the airport.

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The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...

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For Alice's 70° turn, the distance is ...

  d = 100√(1.25+0.342) ≈ 126.18 mi

For Emma's 50° turn, the distance is ...

  d = 100√(1.25 +0.643) ≈ 137.58 mi

Emma's flight is farther from the airport.

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The law of cosines formula is ...

  c² = a² +b² -2ab·cos(C)

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3 years ago
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