What is the RANGE of the following graph?
y=-x2- 2x - 5
2

Answers

Answer 1
The range would be the number-
Answer 2

Answer:

See below in bold.

Step-by-step explanation:

y = -x^2 - 2x - 5

Convert to vertex form:

y = -(x^2 + 2x) - 5

y = - [(x + 1)^2 - 1] - 5

y = -(x + 1)^2  + 1 - 5

y = -(x + 1)^2 - 4

So the vertex of the graph is at (-1 , -4) and it is a maximum because the coefficient of x^2 is negative.

So the range is all values of f(x) up to and including -4.

In interval notation this is (-∞, -4].


Related Questions

Which of the following coordinates does this line pass through?
(1,5)
(0,0)
(3,5)
(2,3)

Answers

Answer:

(3, 5)

Step-by-step explanation:

guys pls answer this I'll follow u if u did Find m so that ( −5 )ᵐ⁺¹ x (−5 )³ = (−5 )⁶ *​

Answers

Answer is Yuh step by step

The value of 4 less than the product of 0.25 and x is greater than 6.

Answers

Answer:

0.25x - 4 > 6

You have 3/4 cup of berries. How many desserts can be made using 1/8 cup of berries for each dessert?

Answers

Answer:

6 desserts

Step-by-step explanation:

3/4 is equal to 6/8, if you use 1/8 for each dessert you will have 6

Helpp me pleasee (algebra)

Answers

Answer:

Step-by-step explanation:

answer = 1/2 r + m

m = 7

r = 8

answer = 1/2 * 8 + 7

answer = 4 + 7

answer = 11

How do I solve this?

Answers

Answer:

76

Step-by-step explanation:

forgive me if im wrong. i just calculated it.

Answer:

A. 38°

Step-by-step explanation:

angle of tangents of circle = (Bigger arc - smaller arc) / 2

x = (218 - 142) / 2 = 76 /2 = 38°

A survey was done that asked students to indicate whether they enjoy reading or playing video games. What is the ratio of those who do not enjoy reading and those who do not enjoy playing video games? A survey was done that asked students to indicate whether they enjoy reading or playing video games

Answers

Answer:

9:3

Step-by-step explanation:

Please find attached the information required to answer this question

From the upper right corner, there are 8 people who do not like reading.

On the lower right corner of the table, there is 1 one person who does not like reading and playing video games

On the lower left corner, there are two people who do not like playing video games.

The total number of people who do not like reading = 8 + 1 = 9

The total number of people who do not like playing video games = 2 + 1 = 3

= 9 : 3

Plz help me I’m stuck and it’s important

Answers

Answer:

2 50ml bottles

Step-by-step explanation:

Reading through the question, we have:

For 80mL

[tex]C_1 = \pounds 55[/tex]

For 2 50mL bottles.

The cost is calculated by the original cost + half the original cost.

i.e.

[tex]C_2 = \pounds 45 + \frac{1}{2} * \pounds 45[/tex]

[tex]C_2 = \pounds 45 + \pounds 22.5[/tex]

[tex]C_2 = \pounds 67.5[/tex]

Next, is to calculate the unit price of each.

For 80mL

[tex]C_1 = \pounds 55[/tex]

[tex]Unit\ price = 55/80[/tex]

[tex]Unit\ price = 0.6875[/tex]

For 2 50mL bottles.

[tex]C_2 = \pounds 67.5[/tex]

[tex]Unit\ price - 67.5/(2 * 50)[/tex]

[tex]Unit\ price = 67.5/100[/tex]

[tex]Unit\ price = 0.675[/tex]

By comparison, the 2 50mL is the best buy because it has smaller unit price

Lauren is four times as old as Ethan. Lauren is also 15 years older than Ethan. How old are Lauren and Ethan?

Answers

Answer:

lauren 15 ethan 12 ?

Step-by-step explanation:

lauren is 20 ethan is 5

How many things can happen if you spin the spinner three times and flip the coin three times?

Answers

Answer:

8

Step-by-step explanation:

8 possible outcomes

We can now extend this thinking. If we toss three coins, we have a total of 2 × 2 × 2 = 8 possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.

Gwendolyn is asked to solve the equation −4(x−3)=20. She shows the work below and states that the solution is x=−8. −4(x−3)=20−4x+12=20−4x=32x=−8 Unfortunately, Gwendolyn's work is flawed. Explain the flaw in Gwendolyn's work. Determine the correct solution to the equation.

Answers

Step-by-step explanation:

The equation is given as;

−4(x−3)=20

Gwendolyn's flaw is in the following lines;

−4x + 12 = 20

−4x = 32

When collecting like terms, the moment 12 crosses over, it becomes - 12 and not + 12

The correct solution is given as follows;

Step 1: Expand the brackets

This results to;

- 4x - (-4 * 3) = 20

-4x + 12 = 20

Step 2: Collect like terms

This results to;

- 4x = 20 - 12

- 4x = 8

Step 3: Solve for x

x = 8 / (-4)

x = -2

Express the product of (2x + 3) and (x - 5)

Answers

Answer:

Here is the answer......

Answer:

2x² - 7x - 15

Step-by-step explanation:

Given

(2x + 3)(x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(x - 5) + 3(x - 5) ← distribute parenthesis

= 2x² - 10x + 3x - 15 ← collect like terms

= 2x² - 7x - 15

For the function y=12x+6, if the input is x=−4, the output is y=

Answers

Answer:

12(4) +6

48+6 = 54

y=54

Step-by-step explanation:

Step-by-step explanation:

Given function: y = 12x + 6

Input: x = -4

Replacing the value of x in function y,

y = 12 x (-4) + 6

y = -48 + 6

y = -42

a tennis racket sells for 54$ at the spring clearance event, the price is 30% less than the original. what is the sale price

Answers

Well since we have the original price which is $54 we subtract 30% from $54. Then we are given the clearance price which is $37.8. Hope this helped you
Please mark brainliest :))

Ruth Behr has ¾ liters of soda in her refrigerator. She poured 1/8 liter of soda in multiple cups. Enter the number of cups Ruth filled with soda

Answers

Answer:

6

Step-by-step explanation:

3/4*8=6

The requried number of Ruth filled with soda is 6 cups.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,

To find the number of cups Ruth filled with soda, we need to divide the amount of soda she poured into cups by the amount of soda in each cup.

Ruth poured 1/8 liter of soda into cups. To convert this to cups, we need to know that 1 liter is equal to 4 cups. So, 1/8 liter is equal to:

(1/8) x 4 cups = 0.5 cups

Ruth has 3/4 liters of soda in her refrigerator, which is equal to:

(3/4) x 4 cups = 3 cups

So, the number of cups Ruth filled with soda is:

= 3 / 0.5
= 6 cups

Thus, the requried number of Ruth filled with soda is 6 cups.

Learn more about Ratio here:

brainly.com/question/13419413

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HELP!! Which inequality is represented by the following
graph

Answers

Answer:

x is more than or equal to 9

Step-by-step explanation:

The dot is closed.

What is the Rotational speed of someone standing in Helsinki, Finland located at 60°11' N and 24°56' E.? (radius of the earth is 3960 miles)

Answers

Answer:

515.5 mph

Step-by-step explanation:

I am fairly confident we are taking the same test/quiz thing right now and I figured this one out so here ya go:

60 degrees + 11 sec = 60.183 degrees

3960 * cos(60.183) = 1969       some number in relation to the distance to the poles

2 * pi * 1969 = 12371.8

12371.8 / 24 = 515.5mph

look up "How to Calculate Rotational Speed Around Earths Axis" on YT, video is by " VAM! Physics & Engineering" that is where I found the formula stuffs

shoutout Woodinville

A student sorted 950 crayons into boxes that hold 36 crayons each. How many more crayons will the student need to completely fill the last box? A 6​

Answers

Answer:

14 crayons

Explanation:

Once you divide the remainder is 14 so you add 14

You took 600mg of pain reliever at
12:00pm. Each hour, the pain reliever
loses 50% of itself in your
bloodstream. How much is still left in
your blood stream at 5:00pm?

Answers

Answer:

It’s not a question for studying

Step-by-step explanation:

23+1×6÷130+2=

right now please​

Answers

Answer:

25.04

Step-by-step explanation:

The answer is 25.04 (someone just deleted my answer so i'm just doin it again)

hey guys help me it’s some questions for math

Answers

Answer: you cannot

Step-by-step explanation:

being divorced and making golf courses aren't directly related

what is the minimum value of "f(x)=7(x-8)^2+5" ?

Answers

minimum is: (8,5)

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if you ever need help you can use a source that has a caculator.

a movie rental company charges a $50 annual fee, then $2 for each movie you rent. what is the average cost per movie if you rent 25 movies in a year

Answers

Answer:

100

Step-by-step explanation:

You start at (5, 4). You move right 5 units. Where do you end?

Answers

Answer:

(10,4)

Step-by-step explanation:

5 would change to 10 and 4 would stay

what are the domain and range of this exponential function y=1/9 .6​

Answers

The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y=1/9.6 is a horizontal asymptote for all exponential functions.
When a>1:as x increases, the exponential function increases, and as x decreases, the function decreases.

PLEASE ANSWER QUICK WILL GIVE 5 STARS

The number $y$ of calories burned after $x$ minutes of kayaking is represented by the linear function $y=4.5x$ . The graph shows the number of calories burned by hiking.

You perform each activity for 45 minutes. How many total calories do you burn?

Answers

Answer:

202.5 calories

Step-by-step explanation:

y = 4.5x  where y is the calories burned and x is the minutes

Let x = 45 minutes

y = 4.5 * 45

y =202.5 calories

Answer:

The average person burns 375 – 475 calories per hour kayaking.

The number of calories burned kayaking depends on your weight, the distance and speed you kayak, and difficulty of terrain. A 200-pound (90.8kg) person will burn 477 calories per hour kayaking with moderate effort. A 150-pound person will burn 358 calories per hour with the same activity.

Step-by-step explanation:

help please and thanks

Answers

Answer:

a function

Step-by-step explanation:

trust the process

Help me please I need help

Answers

Answer:

x = 180

∠DBC = 23

∠ABC = 157

Step-by-step explanation:

A straight line is always 180 degrees

A to D line = 180

6x + 19 + x = 180

7x + 19 = 180

      -19     -19

7x = 161

/ 7     / 7

161 /7 = 23

x = 23

Then plug it in

6x + 19

6 ( 23 ) + 19 = 157

x

x = 23

Hope this helps !

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

Answers

Answer:

I'm really sorry, but you said I could do this but I don't know the answer and I hope someone else can help you, but thank you for helping me! :)

Step-by-step explanation:

describe how to use special product patterns to find 21^2

Answers

Answer:

21 x 21 = 441

Step-by-step explanation:

Whenever there is an exponent that is the many times you multiply the base by itself to.

Power is the result of multiplying two numbers together. The value of 21^2 is 441.

What is power?

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

Given that 21 has a power of 2, therefore, 21 to the power 2 means that 2 should be multiplied by itself twice.

21^2

= 21²

= 21 × 21

= 441

Hence, the value of 21^2 is 441.

Learn more about Power here:

https://brainly.com/question/23432317

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