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2 years ago

Which of the following best defines a function?

1 answer:

8 0

Answer: A. A function is a special type of relation for which there is a rule that pairs each input with exactly one output.

Option B is incorrect because it does not include that there cannot be two x-values with the same y-value. Option C is incorrect because it is a relation, not just a set of ordered pairs. Option D is incorrect because there is a particular pattern in a function.

Hope this helps!

You might be interested in

A man walks for x hours at a speed of

alexandr1967 [171]

Given:

A man walks for x hours at a speed of (x + 1) km/h and cycles for (x - 1) hours at a speed of (2x + 5) km/h.

Total distance travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

$Speed=\dfrac{Distance}{Time}$

$Speed\times Time=Distance$

A man walks for x hours at a speed of (x + 1) km/h, so walking distance is

$D_1=(x+1)(x)$ km

The man cycles for (x - 1) hours at a speed of (2x + 5) km/h, so the cycling distance is

$D_2=(2x+5)(x-1)$ km

Now,

Total distance = 90 km

$D_1+D_2=90$

$(x+1)x+(2x+5)(x-1)=90$

$x^2+x+2x^2-2x+5x-5-90=0$

$3x^2+4x-95=0$

$3x^2+19x-15x-95=0$

$x(3x+19)-5(3x+19)=0$

$(3x+19)(x-5)=0$

$3x+19=0\text{ and }x-5=0$

$x=\dfrac{-19}{3}\text{ and }x=5$

Time cannot be negative. So, the only possible value of x is 5.

3 0

2 years ago

Alaska has a land area of about 1,700,00 square kilometers. Florida has a land area 1/10 the size of Alaska. What is the land ar

Evgen [1.6K]

The land area of Florida 65,755

5 0

3 years ago

you invest $750 in a savings account that pays 1.5% annual interest.Write a recursive and a explicit formula to represent to sit

Natasha_Volkova [10]

750x 0.015= $11.25 each month
11.25x12= 135

3 0

3 years ago

Veronica is self employed. In one year, Veronica generates a gross income of $65,500. When calculating her taxes, Veronica is al

butalik [34]

Answer:

$44,850

Step-by-step explanation:

Gross income is $65,500

Allowable deductions are $2,500

Operating income is $65,500-$2,500=$63,000

From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000

Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150

Remaining expenses will be $5,500-$2,500=$3,000

Income after tax will be $63,000-$15,150=$47,850

Net income=$47,850-$3,000=$44,850

Ans=$44,850

7 0

3 years ago

PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. Wh

SVETLANKA909090 [29]

Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

A quadratic equation is generally shown in the form of $ax^{2} +bx + c = 0$

For example, if you saw the equation $7x^{2} + 3x + 20 = 0$

7 would be $a$ , 3 would be $b$ , and 20 would be $c$ .

To solve the equation above, you would fill in the quadratic formula as such, $x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}$

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, $b^{2} - 4ac$

It is tells us whether there are two solutions, one solutions, or no solutions.

3. How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, $7x^{2} + 3x + 20 = 0$

We will plug the values into the discriminant.

$3^{2} - 4(7)(20) = -551$

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

Hope this helps! (Please consider Brainliest)

8 0

3 years ago