can someone help me state domain and range

Can Someone Help Me State Domain And Range

Answers

Answer 1

Answer:

The domain and range is (as inequalities):

[tex]x\leq 3\text{ and } -\infty < y < \infty[/tex]

Or in interval notation:

[tex]D=(-\infty, 3]\text{ and } R=(-\infty, \infty)[/tex]

Step-by-step explanation:

Recall that the domain is simply the set of all x-values of the function.

From the graph, we can see that the function is defined for all x-values less than or equal to 3.

Therefore, the domain is:

[tex]x\leq 3[/tex]

The range is the set of all y-values of the function.

From the graph, we can see that the range will extend infinitely in both directions.

Therefore, the range is all real numbers. As an inequality:

[tex]-\infty < y < \infty[/tex]

Or in interval notation, the domain is:

[tex](-\infty, 3][/tex]

And the range is:

[tex](-\infty, \infty)[/tex]


Related Questions

Use the equation of the water level of the river represented by the equation y = −4x + 170, where x represents the number of years and y represents the total feet. What points are located on the line? Check all that apply. (170, 0) (0, 170) (12, 126) (50, 30) (5, 150) (60, –70)

Answers

Answer:

(0, 170) (5, 150) (60, -170)

Step-by-step explanation:

Plug each x value into the equation. The point is located on the line if the y values match.

Ex. -4 (170) + 170 = -510 this point is not on the line

-4 (0) + 170 = 170 this point is on the line because it is a "true" statement

Answer:

(0, 170) (5, 150) (60, -170)

Step-by-step explanation:

Use the elimination method to solve the system of equations


2x+3y=8

x-y=9

Answers

Answer:

Step-by-step explanation:

Answer: x = 7 and y = -2

Step-by-step explanation:

2x +3y = 8 ----------------(1)

x-y = 9 ----------------------(2)

multiply (2) by 2

2x-2y = 18--------------------(3)

subtract (2) from (3)

-5y = 10

Divide bothside by -5

y = -2

Similarly, multiply (2) by 3

3x-3y = 27-----------------------(4)

add (1) and (4) together

5x = 35

Divide bothside by 5

x= 7

Therefore, x =7 and y= -2

can someone help me with this please​

Answers

Answer:

for question B

2A 3C = 70

70-15 = 55/5 = 11.

so each child is 11

while adult 11 + 7.50 = 18.50

Find the value of x.
16.2
0.03
38.5
34.8

Answers

Hi there!

[tex]\large\boxed{x = 38.5}}[/tex]

To solve, we can use right triangle trig.

We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:

tan (A) = O / A

tan (33) = 25 / x

Solve:

x · tan(33) = 25

x = 38.49 ≈ 38.5

What is the solution to the equation below. Round your answer to two
decimal places
In x= 3.1

Answers

The solution to the equation below rounded to 2 decimal places is 22.20.

How to simplify logarithmic equations?

Given the logarithmic expressions

ln x = 3.1

We are to determine the value of "x"

ln x = 3.1

Take the exponent of both sides

e^ln x = e^3.1

The exponent will cancel out the log function to have:

x = e^3.1

x = 22.197

Hence the solution to the equation below rounded to 2 decimal places is 22.20.

Learn more on log function here: https://brainly.com/question/1695836

the first day she walked 27 kilometers. each day since she walked 2/3 of what she walked the day before. what is the total distance cecelia has traveled be the end of the 5th day?

Answers

Answer: 70

Step-by-step explanation:

We are required to calculate the total distance Cecilia travelled in 5 days

The total distance Cecilia travelled for 5 days is 99 kilometers

Day 1 = 27 kilometers

Day 2 to day 5 = 2/3 of 27

= 2/3 × 27

= 2 × 9

= 18 kilometers each day

Total distance = day 1 + day 2 + day 3 + day 4 + day 5

= (27 + 18 + 18 + 18 + 18) kilometers

= 99 kilometers

Therefore, the total distance Cecilia travelled for 5 days = 99 kilometers

Read more:

https://brainly.com/question/17207658

Complete the similarity statement for the two triangles shown
40 m
15 m
30 m
25 m
>H
Enter your answer in the box
20 m
50 m
S
F
ACHS ~A

Answers

Answer:

TFY

Step-by-step explanation:

let's start with the 90 degrees angle.

this is C in the first, and T in the second triangle.

so, C and T must be aligned.

and the we go around.

F ~ H

and then

Y ~ S

brianliest!! 10 point!! hurry pls!!

Answers

Answer:

your answer is totally correct

the answer is parallelogram

What percent of 45 is 27

Answers

Answer:

60%

Step-by-step explanation:

27/45 = .6

.6 = 60%

solve for x. round to the nearest tenth,if neccessary.​

Answers

Answer:

94.8

Step-by-step explanation:

sin 45 = 67/x

x = 67/sin 45

x = 94.8

please help me with this​

Answers

Answer: 312 balcony seats and 396 ground seats

Step-by-step explanation:

Multiplying the second equation by 10, we get 10b+10g=7080.

Subtracting this from the first equation, we get that 5b = 1560, and thus b=312.

Thus, g=396.

help help help pls :)

Answers

Answer:

[tex]opposite\approx 70.02[/tex]

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the names ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) are subjective and change depending on the angle one uses in the ratio. However the name ([tex]hypotenuse[/tex]) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ([tex]tan[/tex]) ratio.

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(35)=\frac{opposite}{100}[/tex]

Inverse operations,

[tex]tan(35)=\frac{opposite}{100}[/tex]

[tex]100(tan(35))=opposite[/tex]

Simplify,

[tex]100(tan(35))=opposite[/tex]

[tex]70.02\approx opposite[/tex]

An on-demand movie company charges 52.95 per movie plus a monthly fee of $39.95. Which expression represents
the yearly cost for x movie rentals?
295x+39.95
39.95x295
2958-39 95(12)
295x3995(12)
Hurry I'm being timed !

Answers

Answer:

52.95x + 39.95(12)

Step-by-step explanation:

Answer:

52.95 x + 39.95 (12)

Step-by-step explanation:

cost per movie = 52.95

a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12

the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x

Identify the equation of the line that is perpendicular to =12−7 and runs through point (4,−2). Group of answer choices

Answers

Answer:

12y+x = -20

Step-by-step explanation:

Question restructured

Identify the equation of the line that is perpendicular to y =12x−7 and runs through the point (4,−2).

The equation of a line in point-slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0,y0) is a point on the line

Given the equation y = 12x - 7

Slope = 12

Since the required line is perpendicular to this line, the slope of the required line will be;

m = -1/12

Get the required equation

y-(-2) = -1/12 (x - 4)

y+2= -1/12(x-4)

Cross multiply

12(y+2) = -(x-4)

12y+24 = -x+4

12y + x = 4-24

12y+x = -20

Hence the required equation is 12y+x = -20

NB: The equation of the line used in question was assumed

What is the next term in the sequence below?
24, 12, 6, 3, . . .
A. 0.5
B. 1.5
C. 1.75
D. 2.5

Answers

Answer:

1.5(B)

Step-by-step explanation:

This is a geometric sequence where each number is 1/2 times the last. So 3/2 is 1.5.

What does 1/8 equal to

Answers

Answer:

0.125

Step-by-step explanation:

It could be a lot of things, but if you mean the decimal form then it would be 0.125. Just divide 1 by 8.

If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24
black jelly beans, and 26 purple jelly beans, what is the probability that a jelly
bean chosen at random will be pink?

Answers

Answer:

There are 16 pink jelly beans.

There are 16+34+24+26=100 jelly beans in total.

The probability is 4/25, or 16%.

Step-by-step explanation: hope this helps and gl :)

Answer:

The answer is 4/25

Step-by-step explanation:

Hope this helps

can someone help please ? i’ve completed a and got (x-3)(x+1) but cant figure out b. thank u :)

Answers

Answer:

the answer is probably complicated but this is POSSIBLY similar to your problem

Step-by-step explanation:

x^2 - 1x - 3x + 3

x^2 - 4x + 3

Which ordered pair makes both inequalities true? y < 3x – 1 y > –x + 4 On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (0, negative 1) and (1, 2). Everything to the right of the line is shaded. The second solid line has a negative slope and goes through (0, 4) and (4, 0). Everything above the line is shaded.

Answers

Answer:

None of the options is true

Step-by-step explanation:

Given

[tex]y &lt; 3x - 1[/tex]

[tex]y &gt; -x + 4[/tex]

Required

Which makes the above inequality true

The missing options are:

[tex](4,0)\ (1,2)\ (0,4)\ (2,1)[/tex]

[tex](a)\ (x,y) = (4,0)[/tex]

Substitute values for x and y in the inequalities

[tex]y &lt; 3x - 1[/tex]

[tex]0<3*4 - 1[/tex]

[tex]0<12 - 1[/tex]

[tex]0<11[/tex] ---- This is true

[tex]y &gt; -x + 4[/tex]

[tex]0 > -4 + 4[/tex]

[tex]0 > 0[/tex] --- This is false

[tex](b)\ (x,y) = (1,2)[/tex]

Substitute values for x and y in the inequalities

[tex]y &lt; 3x - 1[/tex]

[tex]2<3 * 1 - 1[/tex]

[tex]2<3 - 1[/tex]

[tex]2<2[/tex] --- This is false (no need to check the second inequality)

[tex](c)\ (x,y) = (0,4)[/tex]

Substitute values for x and y in the inequalities

[tex]y &lt; 3x - 1[/tex]

[tex]4< 3*0-1[/tex]

[tex]4< 0-1[/tex]

[tex]4<-1[/tex] --- This is false (no need to check the second inequality)

[tex](d)\ (x,y) = (2,1)[/tex]

Substitute values for x and y in the inequalities

[tex]y &lt; 3x - 1[/tex]

[tex]1<3*2-1[/tex]

[tex]1<6-1[/tex]

[tex]1<5[/tex] --- This is true

[tex]y &gt; -x + 4[/tex]

[tex]1 > -2+4[/tex]

[tex]1 > 2[/tex] -- This is false

Hence, none of the options is true

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x = 25.540 degrees

Step-by-step explanation:

When computing the value of x, there are various ways to solve with given information.

The easiest way is to set up the equation: cos(20 degrees) = 24/x

Cosine is adjacent over the hypotenuse.

Multiplying x on both sides, and dividing by cos(20 degrees), we are left with x = 24/cos(20 degrees).Solving for it in a calculator, we are left with 25.540 degrees.

What is the value of y in the equation y = 3x - 2. whenx = 2? *​

Answers

Answer:

4

Step-by-step explanation:

y=3x-2

y=3(2)-2

y=6-2

y=4

Answer:
y=4

Explanation:
x=2
3x = 3 times by x = 2x3
2x3=6
6-2=4
Therefore y = 4

What's a boxplot? Also provide an example...

Answers

Answer:

BOXPLOT is a simple way of representing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, usually with a vertical line inside to indicate the median value. The lower and upper quartiles are shown as horizontal lines either side of the rectangle.

Step-by-step explanation:

Example 1: Draw a box-and-whisker plot for the data set {3, 7, 8, 5, 12, 14, 21, 13, 18}.

From our Example 1 on the previous page, we had the five-number summary:

Minimum: 3, Q1 : 6, Median: 12, Q3 : 16, and Maximum: 21.

CHECK THE ABOVE PIC

Notice that in any box-and-whisker plot, the left-side whisker represents where we find approximately the lowest 25% of the data and the right-side whisker represents where we find approximately the highest 25% of the data. The box part represents the interquartile range and represents approximately the middle 50% of all the data. The data is divided into four regions, which each represent approximately 25% of the data. This gives us a nice visual representation of how the data is spread out across the range.

Step-by-step explanation:

In descriptive statistics, a box plot or boxplot (also known as box and whisker plot) is a type of chart often used in explanatory data analysis. Box plots visually show the distribution of numerical data and skewness through displaying the data quartiles (or percentiles) and averages.

whats the lowest common multiple of 120 and 19600​

Answers

Answer:

Multiples of 120 are 120, 240, 360, 480, 600, 720, 840 etc; Multiples of 150 are 150, 300, 450, 600, 750, 900 etc; Therefore, the least common multiple of 120 and 150 is 600.

Least common multiple (LCM) of 19600 and 19619 is 384532400.

Answer: 19600

Step-by-step explanation:

19600/120 = 160

options: (50)^1/2, (65)^1/2, (105)^1/2, (145)^1/2
last sentence options: 55.21, 85.16, 105.26, 114.11

Answers

Answer:

Step-by-step explanation:

Vertices of ΔABC are,

A(-3, 6), B(2, 1) and C(9, 5)

Use the formula to get the distance between two points [tex](x_1,y_1)[/tex] and[tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

By using the formula,

AB = [tex]\sqrt{(1-6)^2+(2+3)^2}[/tex]

     = [tex]\sqrt{50}[/tex] units

BC = [tex]\sqrt{(5-1)^2+(9-2)^2}[/tex]

     = [tex]\sqrt{65}[/tex] units

AC = [tex]\sqrt{(6-5)^2+(-3-9)^2}[/tex]

     = [tex]\sqrt{145}[/tex]

Use cosine rule to find the measure of ∠ABC.

AC² = AB² + BC²- 2(AB)(BC)cos(B)

[tex](\sqrt{145})^2=(\sqrt{50})^2+(\sqrt{65})^2-2(\sqrt{50})(\sqrt{65})\text{cosB}[/tex]

145 = 50 + 65 - 2(√3250)cosB

cos(B) = [tex]-(\frac{145-115}{2\sqrt{3250}})[/tex]

          = -0.26312

B = [tex]\text{cos}^{-1}(-0.26312)[/tex]

B = 105.26°

If x = 7+3 root 5 by 7 - 3 root 5 , find the value of x^2 + 1 by x^2

Answers

Answer:

6 because why not

Step-by-step explanation:

Someone please help me I’m literally struggling

Answers

Hello,

We have :

27 = 3³ = 3 × 3 × 3

[tex]x[/tex]³ = [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex]

So :

The cube root of 27[tex]x[/tex]³ is :

3 × [tex]x[/tex] = 3[tex]x[/tex]

(  because : (3[tex]x[/tex])³ = 27[tex]x[/tex]³ )

We have :

8 = 2³ = 2 × 2 × 2

So :

The cube root of 8 is : 2

[tex]a^{3} +b^{3} = (a+b)(a^{2} -ab+b^{2} )[/tex] with [tex]a=3x[/tex] and [tex]b=2[/tex]

We have :

[tex](3x)^{3}+2^{3}=(3x+2)((3x)^{2} -(3x)(2)+(2 )^{2} )[/tex]

Have a nice day :)

The first question will be 3x to the power of 3
The second one will 2
The third will substitute a and put 3x and substitute b and but 2

A girl walked 6km from her house to a market and discovered that she had covered 4/5 of the distance to the market how far is the market from her house

Answers

Answer: [tex]7.5\ km[/tex]

Step-by-step explanation:

Given

Girl has traveled 6 km from her house

She has covered [tex]\frac{4}{5}[/tex] of the distance

Suppose the total distance is x

[tex]\therefore 6=\dfrac{4x}{5}\\\\\Rightarrow x=\dfrac{30}{4}\\\\\Rightarrow x=\dfrac{15}{2}\ \text{km}\\\\\Rightarrow x=7.5\ \text{km}[/tex]

5 positive integers are arranged in ascending order, as follows:
1,9, 9, 10, X
The mean and the median are equal.
Find X.

Answers

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median

We have this as;

(1 + 9 + 9 + 10 + x)/5 = 9

29 + x = 5(9)

29 + x = 45

x = 45-29

x = 16

Tele-Mart instituted a 5-for-1 split in April. After the split, Ashlee owned 1,860 shares. How many shares had she owned before the split?

Answers

Answer:

372 shares

Step-by-step explanation:

Let

x = shares owned before the split

Share after split : share before split = 5 : 1

Share after split : share before split = 1,860 : x

Equate both ratios

5 : 1 = 1,860 : x

5/1 = 1,860/x

Cross product

5 * x = 1 * 1,860

5x = 1,860

x = 1,860/5

x = 372

x = shares owned before the split = 372 shares

Do you agree? Explain why or why not.

Answers

Answer:

if x = 4

[tex]\sqrt{8 + 1} + 3 = 0[/tex]

[tex]\sqrt{9} + 3 = 0[/tex]

3 + 3 = 0

6 = 0

wrong.

Yes as 8 + 1 is 9
Square root of 9 can be either 3 or -3 and -3 +3 is 0
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