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3 years ago

How much p² – q² + 2pq is less than -2p² -2q² + 7pq +10 ?

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

6 0

Answer: 3p² + q² - 5pq - 10 < 0

<u>Step-by-step explanation:</u>

p² - q² + 2pq < -2p² - 2q² + 7pq + 10

since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.

(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0

3p² + q² + -5pq + -10 < 0

3p² + q² - 5pq - 10 < 0

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13, what is the probability that the coin lands on heads the first two times and lands on tales third

lozanna [386]

Answer: The probability is 1/8

Explanation:

Probability is a ratio of the number of relevant outcomes and total number of possible outcomes.

We are flipping the coin three times.

The number of relevant outcomes is 1 (one triple {Head, Head, Tail})

The number of all possible outcomes is the product of 2 possibilities (Head or Tail) on first toss, times another 2 on second, times another 2 on third, so 2^3 = 8.

The probability P = 1/8

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3 years ago

PLEASE HELP ME!

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

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3 years ago

Consider the following ordered data. 6 9 9 10 11 11 12 13 14 (a) Find the low, Q1, median, Q3, and high. low Q1 median Q3 high (

IrinaVladis [17]

Answer:

Low Q1 Median Q3 High

6 9 11 12.5 14

The interquartile range = 3.5

Step-by-step explanation:

Given that:

Consider the following ordered data. 6 9 9 10 11 11 12 13 14

From the above dataset, the highest value = 14 and the lowest value = 6

The median is the middle number = 11

For Q1, i.e the median of the lower half

we have the ordered data = 6, 9, 9, 10

here , we have to values as the middle number , n order to determine the median, the mean will be the mean average of the two middle numbers.

i.e

median = $\dfrac{9+9}{2}$

median = $\dfrac{18}{2}$

median = 9

Q3, i.e median of the upper half

we have the ordered data = 11 12 13 14

The same use case is applicable here.

Median = $\dfrac{12+13}{2}$

Median = $\dfrac{25}{2}$

Median = 12.5

Low Q1 Median Q3 High

6 9 11 12.5 14

The interquartile range = Q3 - Q1

The interquartile range = 12.5 - 9

The interquartile range = 3.5

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3 years ago

22. The height of a triangle is 4 centimeters less than the base. Write a function that

torisob [31]

The function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.

let the base of the triangle be x

Height of the triangle = x - 4

Area of triangle = 1/2 × base × height

Area = 1/2 × x × (x-4)

Area = 1/2 (x² - 4x)

Area = 1/2 x² - 2 x

We can also write it as a function:

y = 1/2 x² - 2 x

Domain = (3 , ∞)

Range = [0, ∞)

Since 3 is not included in the domain, base of the triangle cannot be 3 cm.

Therefore, the function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.

Learn more about function here:

brainly.com/question/2456547

#SPJ9

6 0

2 years ago

1 point<br> 10. What is the solution of the system of equations graphed below?*

Tema [17]

Answer:

No solution

Step-by-step explanation:

Unfortunately your screenshot has cut off the final answer choice, if it says "no solution" you should choose that because these two lines are parallel. Meaning they will never intersect, and the point of intersection is usually the solution.

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3 years ago