Find the range of the quadratic function.
y= 3x2 – 18x+ 23
Write your answer as an inequality using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.

Answers

Answer 1

Answer:

-4 ≤ y <∞.

Step-by-step explanation:

y = 3x² - 18x + 23

= 3(x² - 6x) + 23

= 3(x² - 6x + 9) - 27 + 23

= 3(x - 3)² - 4 ≥ -4

So the range is -4 ≤ y <∞.


Related Questions

bella desire and javon collect stamps. desire has 5 more stamps than bella, and javon has 3 times as many stamps as desire altgether they have 200 stamps altogether​

Answers

Let the no of stamps with Bella=x
Stamps with desire =5+x
Stamps with Javon=3(5+x)
=15+3x
Total no of stamps=200
So;
200=x+5+x+15+3x
200=5x+20
200-20=5x
180/5=x
x=36
Therefore;
The no of stamps with Bella =36
No of stamps with desire=5+36
=41
No of stamps with javon=15+3(36)
=123
Verification;
36+41+123=200

Answer:

 I answered the stupid question and you deleted it  

Step-by-step explanation:

I have a question?.....Ms. Wallace makes soap to sell at craft fairs. The first bar of soap sells for $2, and each additional bar costs $1.25. The cost of making the soap is $0.95 per bar. Ms. Wallace pays $50 to rent a booth at the fair. How many bars of soap, b, will Ms. Wallace need to sell to at least break even?​

Answers

Answer:

Has your teacher given you notes to practice?

Step-by-step explanation:

If no, then break the question down into pieces and write down what you know.

You move 4 units forward, then 9 units backwards on a board game. Which of the following expressions can be used to find the sum of your moves?

4 + 9


4 + (-9)


-4 + 9


-4 + (-9)

Answers

Answer:

I believe the correct answer is option 2

4 + (-9)

4 + (-9)

This expresses your answer as a sum (addition) while accurately representing your moves (4 forward, being positive, and 9 backwards, being negative)

What is the product of 22 and 49

Answers

Answer:

1078

Step-by-step explanation:

22 x 49 = 1078

Hope this helps

Please help asap! I will gave brainlest!

Answers

Answer:

[tex]\frac{2\pi}{3}, \: \: \frac{5\pi}{3}[/tex]

Step-by-step explanation:

[tex] \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{3\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{2\pi}{3} \bigg)\\ \\\implies \huge \red{\theta = \frac{2\pi}{3}} \\ \\ \\ \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(2\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{6\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{5\pi}{3} \bigg)\\ \\\implies \huge \orange{\theta = \frac{5\pi}{3}} \\ \\ \huge \: \purple { \boxed { \bold\theta = \frac{2\pi}{3}, \: \: \frac{5\pi}{3} }}[/tex]

This is the answer hope it helps

Twice the difference of a number and 2 equals 5

Answers

2-2x=5

When something says twice a number it’s always going to be multiplied by 2 and “a number will always be a variable

9514 1404 393

Answer:

  2(x -2) = 5

Step-by-step explanation:

If x represents the number, then the difference of the number and 2 is ...

  x -2

Twice the difference is ...

  2(x -2)

"equals 5" means that product is equal to 5. The appropriate equation is ...

  2(x -2) = 5

_____

In case you want a solution ...

Dividing by 2, we get ...

  x -2 = 5/2

Adding 2 gives the value of the number:

  x = 2 +5/2 = 9/2

  x = 4 1/2

The number is 4 1/2.

look at the picture pleaseeeee

Answers

Step-by-step explanation:

the answer is in the picture

According to a Los Angeles Times study of more than 1 million medical dispatches from to , the response time for medical aid varies dramatically across Los Angeles (LA Times website, November 2012). Under national standards adopted by the Los Angeles Fire Department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the Times analysis found that in affluent hillside communities stretching from Griffith Park to Pacific Palisades, firefighters failed to hit that mark nearly of the time. The following data show the response times, in minutes, for emergency calls in the Griffith Park neighborhood.

11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2

Based on this sample of ten response times, compute the following descriptive statistics:
a. Mean, median, and mode
b. Range and standard deviation
c. Should the response time of 8.3 minutes be considered an outlier in comparison to the other response times?

Answers

Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}[/tex]

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.7

10.9

11.2

11.5

11.8

n=10(even)

[tex]Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7[/tex]

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]

Standard deviation :[tex]\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}[/tex]

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5[/tex]

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2[/tex]

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range :[tex](10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)[/tex]

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

5. Write the equation in slope-intercept form that
is parallel to y = 4x - 2 and goes through the
point (-2, 3).

Answers

Answer:

y=4x+11

Step-by-step explanation:

Same slope because the lines are parallel

Writing Linear Equations

Answers

The answer to A is Gabe, the answer to B is Mila and I don't have an answer to C, try inputting it into a calculator. Sorry.

A)

y = ax + b

b = 40 as the line starts at (0 ; 40)

then the line goes down => so a < 0

between the 1st point and the second, we go 2 units on the right and we go 1 unit down

so a = - 1/2 = - 0,5

finally  y = - 0,5x + 40

B)

y = ax + b

with

a = (-6 ; 0) / (0 ; -30) = 6/30 = 1/5

with the point ( 0 ; -6) we know that b = -6

finally y = 1/5x - 6

C)

we use the point (0 ; - 10)

so Amir is right as b will be - 10

CAN SOMEONE PLEASEEE HELP ME!!!!???

Answers

Answer:32%

Step-by-step explanation:

What is 70 percent of 20?

Answers

Answer:

14

Step-by-step explanation:

All you need to do is turn 70% into a decimal which is .70

Then multiply .70 and 20

.70*20

which gives you 14

The number is 14, which represents 70 percent of 20 is 14.

As we know that a percentage is normally calculated by dividing the component by the total and then multiplying by 100.

To find 70 percent of a number, we multiply the number by 70/100 or 0.7.

As per the question, we want to find 70 percent of 20.

So, we have:

70% × 20 = (70/100) × 20

To simplify the calculation, we can convert the percentage to a decimal by dividing 70 by 100, which gives us 0.7:

(70/100) × 20 = 0.7 × 20

Multiplying 0.7 by 20, we get:

0.7 × 20 = 14

Therefore, 70 percent of 20 is 14.

Learn more about percentages here:

brainly.com/question/24159063

#SPJ6

Write the slope-intercept form of an equation for a line with y-intercept -5 and slope 2.\

Answers

Answer:

y = -5x + 2

Step-by-step explanation:

find the x-intercept y=(x-2)/(3x-1)

Answers

Answer:

y=-2

x=-6

Step-by-step explanation:

4. Given a = 10.2, A = 122 degrees, and b = 6.8, use the Law of Sines to solve for B. Round your answer to the nearest degree.

5. Given a = 15, A = 36 degrees, and B = 70. use the Law of Sines to solve for b. Round your answer to the nearest whole number.

6. Given a = 9, b = 4, and c = 7, use the Law of Cosines to solve for A. Round your answer to the nearest degree.

Answers

Answer:

4) 34° (nearest degree)

5) 24 (nearest whole number)

6) 107° (nearest degree)

Step-by-step explanation:

Please see the attached picture for the full solution.

Q6: 107° is the angle in the 2nd quadrant.

(180° -73.398°≈ 107°)

Picture 2: Law of Sines

Quadrilaterals ABCDABCDA, B, C, D and KLMNKLMNK, L, M, N are congruent. Which of the following sequences of transformations maps KLMNKLMNK, L, M, N onto ABCDABCDA, B, C, D? Sequence A Sequence B A translation along the directed line segment \overline{MA} MA start overline, M, A, end overline, then a reflection over the horizontal line through point AAA. A reflection over the vertical line through point NNN, then a translation along the directed line segment \overline{NB} NB start overline, N, B, end overline. Choose 1 answer: Choose 1 answer:

Answers

Answer:

D

Step-by-step explanation:

I did it and got it right on khan

Answer:

D, Neither

Step-by-step explanation:

PLEASE HELP...


Write an iterated integral of a continuous function f over the region. Use the order dy dx.
R is the triangular region with vertices ​(0​,0​), ​(0​,15​), and ​(5​,0​).

(I just need the double iterated integral no solving necessary)
THANK YOU!!

Answers

Answer:

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

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

Explanation:

We're tasked to find the values of a,b,c,d in the following

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

The equation of the line through the points (0,15) and (5,0) is y = -3x+15

When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.

So this means c = 0 and d = -3x+15

The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.

-----------------

Since,

a = 0b = 5c = 0d = -3x+15

we go from this

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

to this

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.

Enter any value of b that will make the following expression factorable
x2 + bx + 13

Answers

Answer:

14

Step-by-step explanation:

?*?=13 and ?+?=b

since 13*1=13, you could replace b with 14, since 13+1=14.

this will factor out into (x+1)(x+13)

A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 3.0 cm and the radius of the cone is 3.0 cm. a. What is the volume of the scoop of ice cream? Show all your work. b. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? Show all your work.
Please help me ​

Answers

Answer:

a. 462

b. 49

Step-by-step explanation:

take pie as 22/7

a. volume= π r² h/3

22/7 × 3² × h/3

22/7 × 3 × h

22/7×3

cross multiply

462

b. h= 3 × v/π r²

3 × 462 over 22/7 × 3²

multiply each term by 7

7×3×7×462over22/7×3²

21×462over22×3²

21/1×462/198

= 9702/198

= 49

What is the slope of the line passing through the points (4, -3) and (1, -3)? *

Answers

Answer:

[tex]\huge\boxed{\sf Slope = 0}[/tex]

Step-by-step explanation:

[tex]\sf Slope = \frac{rise}{run} \\\\Slope = \frac{y2-y1}{x2-x1} \\\\Given\ the\ coordinates\ (4,-3) \ and \ (1,-3)\\\\ x1 = 4 ,\ y1 = -3 ,\ x2 = 1 ,\ y 2 = -3\\\\So,\\\\Slope = \frac{-3-(-3)}{1-4} \\\\Slope = \frac{0}{-3} \\\\Slope = 0\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Which statement is false?
0.8 = 3/5
2/3 > 0.34
2.375 > 2 1/4
3 8/11 < 3 12/13

Answers

Answer:

Step-by-step explanation:

0.8 = 3/5

3/5 = 6/10 = .6

FALSE

2/3 > 0.34

2/3 = .333333...

FALSE

2.375 > 2 1/4

2 1/4 = 2.25

TRUE

3 8/11 < 3 12/13

3 8/11 = 3.727272

3 12/13 = 3.9231

TRUE

Use the graph of the function to estimate the intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)

Answers

The intervals on which the graph is increasing:   ]-∞,-3[ U ]0.5,-∞[ . On the other hand, the graph is decreasing:  ]-3,0.5[

Function

A function can be classified as increasing or decreasing. Thus, a function is increasing when the y-values increase, on the other hand, a function is decreasing when the y-values decrease.

From the image, you can see that the y-values increase in the following x-intervals: from -∞ to -3 and from 0.5 to ∞. Using interval notation, you can write that the function is increasing in:

                                  ]-∞,-3[ U ]0.5,-∞[

From the graph, you can see that the y-values decrease in the following x-intervals: from -3 to 0.5. Using interval notation, you can write that the function is decreasing in:

                                         ]-3,0.5[

Learn more about function here:

https://brainly.com/question/2649645

What is the median of the data displayed in this box-and-whisker plot?


84.0

99.5

113.0

143.0

Answers

Answer: 113

Step-by-step explanation:

The median is the dot with the line through it in the middle of the box: so it is 113

What Is -5 1/2 x -1 1/8

Answers

Answer:✨

-6 3/16

✨Step-by-step explanation:✨

-5 1/2 x -1 1/8 = ?

Convert mixed numbers into improper fractions

-11/2 x -9/8 = -99/16 = -6 3/16

Problem 8-21 (Algorithmic)
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental Class


Room Super Saver Deluxe Business
Type I $38 $43 —
Type II $16 $28 $45
Type I rooms do not have wireless Internet access and are not available for the Business rental class.
Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 140 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 110 Type I rooms and 110 Type II rooms.
Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.

Answers

Answer:

Step-by-step explanation:

Problem 8-21 (Algorithmic)

Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:

Rental Class

FIRST TO ANSWER 50 POINTS !!

Randy and Carla like to walk the path around their town park. The path is 2 miles long. Last month Randy walked the path 13 times, and Carla walked it 22 times. How many more miles did Carla walk than Randy last month?

Answers

Answer: 18 more miles

Step-by-step explanation:

18 more miles last month

The distance, in feet, two boys travel per second on a treadmill is shown to the left. Which comparison is accurate?
Xavier is traveling at 1.5 feet per second.
Moises is going faster than Xavier.
The difference in their rates of change is 1 foot per second.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance. (a straight up answer)

Answers

Answer:

Step-by-step explanation:

D is correct

Answer: D

Step-by-step explanation:

PLS HELP ME !

Draw out a two column proof for each problem below.
Make sure to start with your given statement and write out each statement and reason.

Answers

Answer and Explanation:

See attached image.

ANYONE I NEED HELP ASAP!!!!!

Answers

ok so i don’t really know but i hope you find the answer

Which expression represents the product of
64 and x?
A. 64-X
B. 64 + x
C. 64x
D. 64/x

Answers

C

Product = Multiplication
For this one it should be C. 64x
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