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3 years ago

Describe the relationship. Check all that apply.

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

Answer:

this is a negative association

Step-by-step explanation:

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Prove that if a and b are integers, then a^2-4b egal or non-egal 2

Lera25 [3.4K]

Answer:

tex]a^2 - 4b \neq 2[/tex]

Step-by-step explanation:

We are given that a and b are integers, then we need to show that $a^2 - 4b \neq 2$

Let $a^2 - 4b = 2$

If a is an even integer, then it can be written as $a = 2c$ , then,

$a^2 - 4b = 2\\(2c)^2 - 4b =2\\4(c^2 -b) = 2\\(c^2 -b) =\frac{1}{2}$

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

If a is an odd integer, then it can be written as $a = 2c+1$ , then,

$a^2 - 4b = 2\\(2c+1)^2 - 4b =2\\4(c^2+c-b) = 2\\(c^2+c-b) =\frac{1}{4}$

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

Thus, our assumption was wrong and $a^2 - 4b \neq 2$ .

7 0

3 years ago

The function A(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its othe

Brut [27]

Answer:

$b(a) =\frac{a}{7} -5$

Step-by-step explanation:

Given

$A(b) = 14 * \frac{b + 5}{2}$

Required

Determine the inverse function b(a)

Write A(b) as a

$a = 14 * \frac{b + 5}{2}$

Swap a and b

$b = 14 * \frac{a + 5}{2}$

$b = 7(a + 5)$

Divide both sides by 7

$a + 5 = \frac{b}{7}$

Maka a the subject

$a =\frac{b}{7} -5$

Swap a and b again

$b =\frac{a}{7} -5$

Hence:

$b(a) =\frac{a}{7} -5$

4 0

3 years ago

Help! :') ..........................................

Elden [556K]

Answer:

y=7x-5

Step-by-step explanation:

8 0

3 years ago

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What is the net force acting on a 3000kg sled that accelerated a 5 m/s2

katovenus [111]

Answer:

15000 Newtons

Step-by-step explanation:

Force (in newtons)= weight * acceleration = 3000kg * 5 m/s^2 = 15000 N

5 0

3 years ago

Is the following statement true or false

Vlad1618 [11]

Answer:

Step-by-step explanation:

The answer is true because AB intersects with AC at point A

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3 years ago

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