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4 years ago

I'm doing domain and range, and I'm kinda having a hard time with this... can someone help?

Mathematics

2 answers:

uysha [10]4 years ago

8 0

Answer:

Domain : any real number

Range : y ≥0

Step-by-step explanation:

The domain is the values that x can be

X can be any real number

The range is the values the y can be

Y can be zero or any positive value since y = x^2

Domain : any real number

Range : y ≥0

tatuchka [14]4 years ago

8 0

Answer:

$\boxed{\sf Option \ A}$

Step-by-step explanation:

$y=x^2$

$\sf The \ domain \ of \ a \ function \ is \ all \ possible \ values \ for \ x.$

$\sf There \ are \ no \ restrictions \ on \ the \ value \ of \ x.$

$\sf The \ domain \ is \ all \ real \ numbers.$

$\sf The \ range \ of \ a \ function \ is \ all \ possible \ values \ for \ y.$

$\sf When \ a \ number \ is \ squared \ the \ result \ is \ always \ greater \ than \ or \ equal \ to \ 0.$

$\sf The \ range \ is \ \{y:y\geq 0\}$

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Leviafan [203]

Answer: $\bold{(A)\ a_n=500,000(1.1)^{n-1}}$

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

From the data provided, we know the sequence is {500,000; 550,000; 605,000; ... }. $So, a_1 = 500,000\ and\ r = \dfrac{550,000}{500,000}=1.1$

The explicit rule for a geometric sequence is: $a_n=a_1(r)^{n-1}$

So, the explicit rule for the sequence above is: $a_n=500,000(1.1)^{n-1}$

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3 years ago

A polygon has 15 sides.

Olegator [25]

Answer:

The sum of the eight interior angles not adjacent to these exterior angles is 1280°.

=================

<h2>Given </h2>

A 15-sided polygon with sum of 7 exterior angles 200°.

The sum of the 8 interior angles, remote to known 7 angles.

<h2>Solution</h2>

sum of all exterior angles of a polygon is 360°.
sum of each interior and exterior angle pair is 180°.

So the sum of the 8 exterior angles is:

360° - 200° = 160°

Sum of both interior and exterior angles of 8 angles:

180°×8 = 1440°

Sum of those 8 interior angles is:

1440° - 160° = 1280°

3 0

2 years ago

(PLEASE HELP FAST) What does the y-intercept of this relationship represent?

adelina 88 [10]

Answer:what does the graph look like

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the maximum volume in cubic inches of an open box to be made from a 10- inch by 20-inch piece of cardboard by cutting ou

Mekhanik [1.2K]

Answer:

192.5 in³

Step-by-step explanation:

The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.

Thus the volume V = lbh =

V = (20-2x)*(10-2x)*(x)

V = 4x³ - 60x² + 200x

On differentiating, we have dv/dx to be

dv/dx = 12x² - 120x + 200

Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113

This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.

You cut 2.113 inches from each corner to obtain the maximum volume.

The sizes of the cubes are

20 - (2 * 2.113) = 15.774

10 - (2 * 2.113) = 5.774

2.113

The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.

8 0

3 years ago

Match the y-coordinates with their corresponding pairs of x-coordinates on the unit circle. the x coordinates to choose from are

vaieri [72.5K]

Of the four x-coordinates to choose only 1/√(11) belongs can belong to the unit circle.

The other three x-coordinates are greater than 1, then they are out of the unit circle.

The unit circle formula is x^2 +y^2 = 1

Then to find the y-coordinate given the x-coordinate you can solve for y from that formula:

y^2 = 1 - x^2

y = (+/-)√(1-x^2)

Substitute the value of x

y = (+/-)√{1 - [1/√(11)]^2} = (+/-) √{(1 - 1/11} =(+/-) √ {(11 -1)/11 =(+/-)√(10/11) ≈ +/- 0.95

6 0

3 years ago