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3 years ago

Which of the following correctly represents the set of numbers using interval notation?

Mathematics

1 answer:

Genrish500 [490]3 years ago

3 0

Answer:

Option 3

Step-by-step explanation:

-infinity < x< -2 , 5 > x ≥ 2

Round bracket for boundary excluded, and square bracket for boundary included

(-infinity, -2) or [2,5)

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Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b

poizon [28]

The roots of the given polynomials exist $x=8+\sqrt{10}$ , and $x=8-\sqrt{10}$ .

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\$

$$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\$

$$&x=8+\sqrt{10}, x=8-\sqrt{10}$

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$ , and

$x=8-\sqrt{10}$ .

To learn more about quadratic equations refer to:

brainly.com/question/1214333

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1 year ago

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If you popped 3 bags of popcorn in 15 min how many bags did you pop per min

Agata [3.3K]

1 bag per 5 minutes. If you divide 15(total amount of min) by 3(bags of popcorn you popped) you will see you popped 1 bag per 5 minutes. Now its say per minutes, then, you will have to say 1/5 bag per minutes.

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3 years ago

If a greyhound can run up to 50mi/h. How long would it take a greyhound to run 10 mi?

dolphi86 [110]

Answer:

12 minutes

Step-by-step explanation:

(50miles/60 minutes)/5 = 10 miles/12 minutes

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3 years ago

For triangle ABC, which side is opposite angle B?<br><br> AC<br><br> AB<br><br> BC

professor190 [17]

<h3>Answer:</h3>

<h3>Step-by-step explanation:</h3>

The side opposite vertex B will <em>not</em> have B as one of the letters in its designation. That is, sides AB and BC are adjacent, not opposite. Only side AC is opposite angle B.

_____

Side AB is the <em>hypotenuse</em> of this triangle (the longest side; the side opposite the right angle).

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3 years ago

Please help!!

erik [133]

Answer: hypotenuse = 30

Longer side = 24

Shorter side = 18

Step-by-step explanation:

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