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3 years ago

Which of the following is the solution for 7 - 4x ≥ 35 ?

1 answer:

7 0

There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.

7 - 4x ≥ 35
subtract 7 from both sides

-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative

x ≤ -7

CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35

ANSWER: x ≤ -7

Hope this helps! :)

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I need help with this problem

Arada [10]

Answer:

65.56°

Step-by-step explanation:

We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them

That is let p and q be any two vectors and A be the angle between them

So, p·q=|p|*|q|*cosA

⇒ $cosA=\frac{u.v}{|u||v|}$

Given u=-8i-3j and v=-8i+8j

$|u|=\sqrt{(-8)^{2}+ (-3)^{2}} =8.544$

$|v|=\sqrt{(-8)^{2}+ (8)^{2}} =11.3137$

let A be angle before u and v

therefore, $cosA=\frac{u.v}{|u||v|}=\frac{(-8)*(-8)+(-3)*(8)}{8.544*11.3137} =\frac{40}{96.664}$

⇒ $A=arccos(\frac{40}{96.664} )=arccos(0.4138 )=65.56$

Therefore angle between u and v is 65.56°

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3 years ago

What is a counterexample for the conjecture?

Dmitriy789 [7]

Answer:

A counterexample for a conjecture is the statement that disproves a conjecture.

Step-by-step explanation:

To find : What is a counterexample for the conjecture?

Solution :

A conjecture is an educated guess but not yet proven. It is possible that next example shown the conjecture wrong.

A counterexample is an example that disproves or disagree a conjecture.

For example : Prime numbers - 3,7,11,23

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Counterexample - 2

→ 2 is a prime number but not odd, it is an even number.

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Step-by-step explanation:

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