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Akimi4 [234]
4 years ago
6

3. Which relation is a function?

Mathematics
1 answer:
Pani-rosa [81]4 years ago
6 0

Answer:

B

Step-by-step explanation:

Recall that functions are defined only if for each value in the domain produces one and only one value in the range.

If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value

Lets evaluate the options:

A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)

D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

the only choice where this doesn't occur is choice B

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What is the sum of the reciprocal of 1/-13 and the reciprocal of -1/2
murzikaleks [220]

Answer:

-15

Step-by-step explanation:

1/-13

The reciprocal is

1/ 1/-13

Because of the law of indices,

We'll have 1 * -13

= -13.

-1/2

The reciprocal is

1 ÷ -1/2

Because of the law of indices,

We'll have 1 * -2

= -2

Therefore, the sum would be -13 + (-2) which would be equals to -15.

6 0
3 years ago
What is 10 divided by 2
const2013 [10]
The answer is 5. Take 10 and divide that into 2 groups equally.
8 0
3 years ago
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A hiker moves 3 meters east, which is vector A. Then the hiker moves four meters north, which is vector B. The displacement vect
Fantom [35]

Answer:

About 53.13 degrees.

Step-by-step explanation:

If we draw the path of the hiker, or rather, all three vectors with vector B having its starting point at the end point of vector A, a right triangle is formed. We will most likely be using trigonometric functions to solve this.

vector A is parallel to the x axis (West - East), and vector B is perpendicular, so we'll be using the inverse tangent function to get the angle based on the ratio of the lengths of vector B to vector A, which is \frac{4}{3}

atan(\frac{4}{3}) = 53.13 degrees.

If one would be pedantic, they'd say that the direction we have to go to get from vector C to vector A is clockwise, which is anti-mathematical, the true answer would be -53.13 degrees. Alternatively, whatever 360-53.13 is.

8 0
4 years ago
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What are the roots of 3x2 + 10 = 4x?
sveticcg [70]

Answer:

Option C is correct.

roots of the given equation , x =\frac{2\pm i\sqrt{26}}{3}

Step-by-step explanation:

Given the equation: 3x^2+10 = 4x

We can write this equation as:

3x^2-4x + 10 =0

A quadratic equation is in the form of ax^2+bx+c =0      ......[1] where a,b ,c are the coefficient and x is the variable,

the solution of the equation is given by;

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

On comparing given equation with equation [1] we get;

a = 3 , b = -4 and c =10

So, the solution of the given equation is given by;

x = \frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}

or

x =  \frac{4\pm\sqrt{(16-120}}{6} = \frac{4\pm\sqrt{(-104)}}{6} = \frac{4\pm\sqrt{(-4 \times 26)}}{6}

or

x =\frac{4\pm2 \sqrt{(-26)}}{6} = \frac{4\pm2 i\sqrt{26}}{6}    [∴\sqrt{-1} = i

Simplify:

x =\frac{2\pm i\sqrt{26}}{3}

therefore, the roots of the given equation are; x =\frac{2\pm i\sqrt{26}}{3}

5 0
3 years ago
Read 2 more answers
_________ integers are natural numbers. 1.) some 2.) all 3.) no
Marina CMI [18]

Answer:

1.) Some

Step-by-step explanation:

Natural numbers do not contain negative numbers, but they do contain whole numbers like 1, 2, 3. So your answer would be some.

6 0
3 years ago
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