State the range in proper interval notation

State The Range In Proper Interval Notation

Answers

Answer 1

Answer:

the range in interval notation is (-4, 4).

Step-by-step explanation:

"Range" refers to the set of numbers that contains all possible values of y that a given function can take on.  In this diagram we see that the smallest possible y-value is -4 and the largest is +4, not inclusive (the set does not contain either -4 or +4).  Thus, the range in interval notation is (-4, 4).


Related Questions

pls HELP QUICKLY!! WILL GIVE BRAINILEST!

What is the relationship between the lines with the following equations?

2x+8y=16

y=4x+7

The lines are perpendicular.
The lines are parallel.
The lines are neither parallel nor perpendicular.
The lines are the same

Answers

Answer:

the lines are perpendicular

Step-by-step explanation:

you can simplify 2x+8y=16 so thats how i got the lines are perpendicular

Input the number of days in a month

Answers

Answer:

30

Step-by-step explanation:

Answer: January has 31, February has 28 or 29, March has 31, April has 30, May has 31, June has 30, July has 31, August has 31, September has 30, October has 31, November has 30, and December has 31.

Explanation: :3

Evaluate the expression. 4−[(11+12(−2)÷6)+1] What is the value of the expression? Enter your answer in the box.

Answers

The answer is -4
Did you need step by step

Answer:

-4

Step-by-step explanation:

40) How old am I if 400 reduced by 3 times

my age is 214?

Answers

Answer:

You are 62 years old

Step-by-step explanation:

Let's set up an equation:

400 - 3a = 214 ( let a be your age)

Add 3a to each side:

400 = 214 + 3a

Subtract 214 from each side:

186 = 3a

Divide each side by 3:

62 = a

find the equation of the linethe line passes through the points (5,2) and (-4,-4)

Answers

Answer:

[tex]y = \frac{2}{3}x - \frac{4}{3} [/tex]

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3} [/tex]

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

[tex]y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3} [/tex]

substitute the slope and the value for b into the equation to get the answer

[tex]y = \frac{2}{3} x - \frac{4}{3} [/tex]

The area of a circle is 18.1 km^2. Find the radius of the circle in kilometers
rounded to the nearest tenth. Use 3.14 for PI, and enter the number only.

Answers

Answer:2.4

Step-by-step explanation:

area = pi* r^2

18.1 /3.14=r^2

5.76 =r^2

Now root square

Answer:

2.4 km

Step-by-step explanation:

πr²=18.1 km²

18.1/3.14=5.76km²

576/100

24/10=2.4km

do exponential functions have horizontal asymptotes?

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The parent function e^x has a horizontal asymptote at y=0.

2. Find the value of "a" given the vertex and a second point when the vertex is (3,-1) and the graph passes through (5, 2)

Answers

Answer:

a = 3/4

Step-by-step explanation:

Given the vertex, (3, -1) and the other point, (5, 2):

We could substitute these values into the vertex form of the quadratic equation:

y = a(x - h)² + k

Where:

(h, k ) = vertex

a = determines whether the graph opens up or down, and makes the graph wider or narrower.  

If a is positive, the graph opens up; if a is negative, the graph opens down.If a is between 0 and 1, the graph is wider than the parent function.If a > 1, the graph is narrower than the parent function.

h = determines how far left or right the parent function is translated.

k =  determines how far up or down the parent function is translated.

Substitute the vertex, (3, -1) and point (5, 2) into the vertex form to solve for "a":

y = a(x - h)² + k

2 = a(5 - 3)² - 1

2 = a(2)² - 1

2 = a(4) - 1

Add 1 to both sides:

2 + 1 = a(4) - 1 + 1

3 = 4a

Divide both sides by 4 to solve for a:

3/4 = 4a/4

3/4 = a

Therefore, the value of a = 3/4. Since the value of a is positive, and that it is between 0 and 1, then it means that the graph opens upward and is wider than the parent function.

The quadratic equation in vertex form is: y = 3/4(x - 3)² - 1, where a = 3/4.

Please mark my answers as the Brainliest if you find this explanation helpful :)

Trigonometric identities: Performance task

Answers

#1

[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]

[tex]\\ \sf\longmapsto 1-cos^2x[/tex]

[tex]\\ \sf\longmapsto sin^2x[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]

[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

The simplified form of each of th given Trigonometric expressions is given below.

What are trigonometric expression?The expressions involving trigonometric functions are called  trigonometric expressions.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the trigonometric expressions.

{1} -

{1 + cos(x)}{1 - cos(x)}

{1² - cos²(x)}

sin²x

{2} -

{1/cot²(x) - 1/cos²(x)}

{sin²(x)/cos²(x) - 1/cos²(x)}

{sin²(x) - 1}/{cos²(x)}

{- cos²(x)/cos²(x)}

- 1

{3} -

sec²(π/2 - x){sin²(x) - sin⁴(x)}

sin²(x) {1 - sin²(x)} {1/cos²(π/2 - x)}

sin²(x) cos²(x) × 1/sin²(x)

cos²(x)

Therefore, the simplified form of each of th given Trigonometric expressions is given above.

To solve more questions on Trigonometric expressions, visit the link below -

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What is the image point of (1,0)after a translation right 1 unit and up 4 units?

Answers

Answer:

(2, 4)

Hope this helps! Brainliest would be really appreciated!

if a scientist gets unexpected results during the first trail of an experiment what should he or she do next

Answers

If they get unexpected results they could note what they could've done wrong or what they could change in a next trail of experiments. Or look back and see what different happened to they could've hypothesized. There could be many different courses on what to do next.

Can someone please factor this polynomial:
y = -x^4-15x^3-75x^2-125x

Answers

Answer:

(−x)(x+5)(x+5)(x+5)

Step-by-step explanation:

Hi! I got y =-x(x+5)^3

Consider the function y = x2 – 2 – 6.

Drag a factor to each box to create a function that is equivalent to the given function and reveals its zeros

Answers

Answer: (x + 2) (x - 3)

Step-by-step explanation:

x^2 - x - 6

x^2 - 3x + 2x - 6

x(x - 3) + 2(x -3)

(x+2) (x-3)

Kaj bought snacks for her team's practice. She bought a bag of chips for $2.44 and a
20-pack of juice bottles. The total cost before tax was $26.44. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs.

Answers

Answer:

j = $1.20

Step-by-step explanation:

26.44 (total cost) - 2.44 (cost of chips) = 24

$24 dollars (cost of pack of juice bottles) divided by 20 (number of juice bottles in the pack = 1.2

The required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.

She bought a bag of chips for $2.44 and a 20-pack of juice bottles.
The total cost before tax was $26.44.
To determine and solve an equation that can be used to determine j, how much each bottle of juice costs.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the cost of the bottle be x,
According to the question,
2.44 + 20x = 26.44
20x = 26.44 - 2.44
x = [24] / 20

x = $1.2

Thus, the required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.

Learn more about arithmetic here:

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question 5 answer with steps

Answers

answer:
the triangle shown in question 5 is congruent. also known as SSS (side,side,side). the reason why its SSS is because if you look at the triangle, you see 3 different lines on the outside. one has only one line, one has 2 lines, and one has 3 lines. this is an indication that the triangle is congruent. you could not say AAA (angle,angle,angle) because that does not mean the triangles are considered congruent.

hopefully this helped :)

PLZZZ HELPPP REALLLY QUICKKK PLZZZ I NEED HELPPPPP ASAPPPP

Answers

Answer:

52

Step-by-step explanation:

38+14=52

Hope that helps

38 plus 14 = 52 is what I got

Write this number in
of word form:
205,028.5


Answers

Two hundered five thousand, twenty-eight and one half

The tens digit of a certain number is 2 less than the units digit. The sum of the squares of the two digits is 34. Find the number.

Answers

Answer:

35 3x3=9 5x5=25 9+25=34

Step-by-step explanation:

Make this brainliest please and thank you

Answer:

53

Step-by-step explanation:

The sum of the squares of the digits is 34 -- they're likely 25 and 9, which means 5 and 3 for the numbers. The units is 2 less than the tens, so the only answer is 53.

Help me with this please

Answers

Answer:

ANSWER:D

Step-by-step explanation:

Sana maka help

what is 2×1+5÷2 in decimals​

Answers

Answer:4.5

Step-by-step explanation:(2x1)+(5/2) which equals 4.5

2. Create a set of 5 positive numbers (repeats allowed)
that have a median of 10 and a mean of 7.

Answers

1,4,10,10,10
The median of the above data is 10
The mean of the above data is 7

1+1×2 và 1+4×5 và 4+5×6

Answers

[tex]1 + 1 \times 2 \\ = 1 + 2 \\ = 3 \\ \\ 1 + 4 \times 5 \\ = 1 + 20 \\ = 21 \\ \\ 4 + 5 \times 6 \\ = 4 + 30 \\ = 34[/tex]

Carlos is going on a boat tour the boat will travel a total distance of 35 km during the seven hour tour if the boat travels at a consistent speed during the torr what distance in kilometers should the boat travel in three hours

Answers

Answer:

We can easily figure out how fast the boat is moving per hour.

35 km / 7 hours = 5 km/h

We now know that we are moving at a rate of 5 kilometers every 1 hour. We can now take our 5 km/h and multiply it by 3 hours to get our answer

5 km/h x 3 = 15 kilometers

Simplify: 1.4-1.5+ -3.4+1.8

Answers

Hello! For my answer I got -1.7
The answer would be -1.7

THE PERSON WHO GETS THIS ANSWER RIGHT WILL GET 50+ POINTS

Answers

For the first box it is 3, the second box is 5, and the third box is 15 hope this helps

9514 1404 393

Answer:

6x +5y = 45x +y = 8x = 5 . . . jars of jamy = 3 . . . packages of bread mix

Step-by-step explanation:

The problem statement gives two relations between x (jars of jam) and y (packages of bread mix).

  6x +5y = 45 . . . . . . total cost

  x + y = 8 . . . . . . . . . number of items

__

These equations can be solved a number of ways. Substituting for y, we get ...

  y = 8 -x

  6x +5(8 -x) = 45

  x +40 = 45

  x = 5 . . . . . . . . . jam

  y = 8 -5 = 3 . . . mix

There are 5 jars of jam and 3 packages of bread mix in the gift basket.

ratio of lilies to daisies is 3:2 There are 15 lilies. How many total flowers in garden?

Answers

there are 25 total flowers in the garden

Can someone help me find the common factors or factor completely x⁴+10x²+25​

Answers

Answer:

[tex](x^{2} +5)^{2}[/tex]

write an equation in slope intercept from for line that passes through(2,3) and (-5,5)

Answers

hope you like my answer its -8

determine if equation has one solution ,no solution ,or an infinite number of solutions justify the answer
-4 ( x + 2 ) = - 4x -5

Answers

Answer:

no solution

Step-by-step explanation:

- 4(x + 2) = - 4x - 5 ← distribute parenthesis on left side by - 4

- 4x - 8 = - 4x - 5 ( add 8 to both sides )

- 4x = - 4x + 3 ( add 4x to both sides )

0 = 3 ← False statement

This indicates the equation has no solution

In the figure below, m
Il n ánd p || q. Find the values of x and y.

Answers

Hey! So the answer is Y=30 and x = 114

Answer:

114 and 30

Step-by-step explanation:

The angles with measure of 66 and x are consecutive interior angles and therefore supplementary:

x + 66 = 180x = 180 - 66x = 114

The angles x and 4y - 6 are alternate interior angles and therefore congruent:

x = 4y - 6114 = 4y - 64y = 114 + 64y = 120y = 120/4y = 30
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