for the function f(x)=(x+3)^2-2 find the vertex, axis, domain, range, largest interval of domain over which function is increasing, and largest open interval over which function is decreasing

Answers

Answer 1

Answer:

Vertex = (-3, -2)

Domain = (−∞,∞),{x|x∈R}. Range = [−2,∞),{y|y≥−2}[-2,∞){y|y≥-2}


Related Questions

PLS HELP WILL MARK BRAINLYEST
Step 1: Constructing and analyzing scatterplots


You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below.

Hot Chocolate Sales and Outside Temperatures
Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199
Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91°

a) Make a scatterplot of the data above. (2 points)

b) Do you notice clusters or outliers in the data? Explain your reasoning. (2 points)








c) How would you describe the correlation in the data? Explain your reasoning. (2 points)








d) What are the independent and dependent variables? (2 points)








Step 2: Evaluating trends of data

Because you want to prepare and serve the healthiest food possible, you monitor the fat and calorie content of items on your menu. Some of the menu items are included in the graph below.



a) Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not? (2 points)






b) Using the drawing tools, draw a trend line (line of best fit) on the graph above. (2 points)




c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points? (2 points)






d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. (3 points)










Step 3: Making predictions using data

You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below.

Servers’ Collected Tips
Customers 54 46 34 67 52 22 49 64 55 80 38 42
Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91

a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)







b) Find the equation of the trend line (line of best fit). Show your work. (2 points)



















c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. (2 points)


d) Explain how to use the regression calculator to make a reasonable prediction given a data table. (2 points)

Answers

Answer:

Chile you didn´t even try like why so many dang questions

Step-by-step explanation:

A .

b . Yes,I do 1,110 is a cluster because it’s a very large number for 52 degrees and 189 is because it’s a very large number for 16 degrees.

c . There is a negative correlation.

D . The dependent variable is sales and independent variable is the temperature.

A. yes my partner is correct because the line goes diagonally upwards.

B. The trend line lies on the points (0,100) and (15,900)D .

C . Yes do see a relationship. This line move one direction up. notice how the dots move up like an escalator.

D. Yes do see a relationship. This line move one direction up. notice how the dots move up like an escalator.

I didn´t finish the rest but i gave you some of it :)

Answer:

I can confirm the guy above me is correct ; )

Step-by-step explanation:

yur moma

3 n - 5 p + 2 n = 10 p for n

Answers

Answer:

n = 3p

hope this works

What would be the volume of a tree that has a radius of 2 feet and a length of 14 feet?

A. 87.92 cubic feet
B. 124.54 cubic feet
C. 175.84 cubic feet
D. 212.72 cubic feet

Answers

Answer:

C) 175.84 cubic feet

Step-by-step explanation:

V=πr^2h is the formula I used

I plugged in the numbers and solved

The volume of the tree with a radius of 2 feet and a length of 14 feet is

176 feet³.

What is a cylinder?

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The tree is in the form of a cylinder.

Radius = 2 feet

Height = 14 feet

Now,

The volume of the tree.

= πr²h

= 22/7 x 2 x 2 x 14

= 22 x 2 x 2 x 2

= 22 x 8

= 176 feet³

Thus,

The volume of the tree is 176 feet³.

Learn more about cylinder here:

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Notebooks are priced 3.20 for 4 notebooks Pencils are priced 4.80 for 12 pencils calculate the unit rate for cost per pencil. Make sure you show your reasoning

Answers

Answer:

to find the answer for 1 pencil you just need to divide

Step-by-step explanation:

3.20$ divide by 4=0.8 /each pencil cost 0.8

4.80$ divide by 12=0.4 /each pencil cost 0.4

Autumn buys 9 bottles of orange juice at the corner store for a total cost of $10.71. If each bottle costs the same amount, how much is each bottle of juice?

Answers

Answer:

1.19$ each

Step-by-step explanation:

10.71/9= 1.19

PLEASE HELP!!!
At a basketball game, 95% of people attending were supporting the home team, while 5% were supporting the visiting team. If 532 people attending the game supported the home team, what was the total number of people attending the game?

Answers

Answer:3800

Step-by-step explanation:

sorry if i got it wrong :/

A washing machine marked for $320 was sold at $280. What was the percentage of discount for the washing machine?

Answers

Answer:

the person who bought it saved 40 dollars and the percentage saved was 12.50 i just used a discount calculator on google

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

segment E prime F prime has endpoints located at E'(1, 0) and F'(1, 3). segment EF was dilated by a scale factor of one half from the origin. Which statement describes the pre-image? segment EF is located at E (0.5, 0) and F (0.5, 1.5) and is half the size of segment E prime F prime. segment EF is located at E (1, 0) and F (1, 3) and is the same size as segment E prime F prime. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime. segment EF is located at E (3, 0) and F (3, 9) and is three times the size of segment E prime F prime.

Answers

9514 1404 393

Answer:

  C.  segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime

Step-by-step explanation:

If the image is 1/2 the size of the original (scale factor = 1/2), the original is twice the size of the image. Each of the original coordinates is double the image coordinate value.

E(2, 0) = 2×E'(1, 0)

F(2, 6) = 2×F'(1, 3)

Answer:

segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime.

Step-by-step explanation:

just took test and got it correct

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles

Answers

Answer:

       First:  30°

 Second:   67°

      Third:  83°

Step-by-step explanation:

        First:   x

  Second:   y

      Third:   z = y + 16

Constraints:

   x + y + z  = 180

   y + z = 5x                  ===>    y = 5x - z

   

Substitution to find first angle x:

   x + y + z  = 180

   x + (5x - z) + z  = 180

   x + 5x - z + z = 180

   6x = 180

    x = 30

Substitution to find second angle y:

   y = 5x - z

   y = 5(30) - z

   y = 150 - z

   y = 150 - (y + 16)

   y = 150 - y - 16

   y = 134 - y

   2y = 134

     y = 67

Substitution to find third angle z:

  z = y + 16

  z = (67) + 16

  z = 83

Answer:

x=30 y=67 z=83

Step-by-step explanation:

The solution is therefore (30,67,83).

Help help help help help

Answers

Answer:

4.5 = 13.5

11/2 = 16 1/2

36 = 12

46.5 = 15.5

Step-by-step explanation:

hope this helped!

A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?

Answers

Answer:

The answer is 12

Step-by-step explanation:

i got it right

Answer:

the answer is 12

Step-by-step explanation:

What is the complete factorization of 36y2 - 1?
A.
6(y + 1)(y- 1)
B.
(6y + 1)(6y-1)
O c. (6y-11²
OD. (-6)(y + 6)

Answers

Answer:

c

Step-by-step explanation:

Can someone help with this one? You get 35 points

Answers

Answer:

the answer is d

Step-by-step explanation:

Find the standard deviation for the group of data items.
16, 17, 18, 19, 20

Answers

Answer:

Hope it helps, please give brainlest!

Step-by-step explanation:

Jermaine Samson earns 6 1/2% commission
on sales of $5,600 selling flat screen TVs.
What is his commission?
$36,400
$3,640
$364

Answers

Answer:

364

Step-by-step explanation:

0.065 x 5,600

Answer:

$364

Step-by-step explanation:

multiply 0.065 by 5,600

Let p be "Today is Friday" and let q be "Today is Wednesday."

Write in words the disjunction of the two statements. (Select all that apply.)
A. Today is Friday or Wednesday.
B. Today is not Friday or Wednesday.
C. Today is Friday or today is Wednesday.
D. Today is neither Friday nor Wednesday.
E. is not Friday or today is not Wednesday.

Answers

Answer:

Today is neither Friday nor Wednesday.

A and C

I think this is correct

: )

An ant can travel at a constant speed of 980 cinches every 5 minutes. At this rate٫how far can the ant travel in 7 minutes?

Answers

divide 980 in. by 5 minutes to figure out how many inches an ant moves in a minute. that ends up to be 196 in/minute. from there, multiply 196 in. by seven, leaving the sum as 1372. hope this helps, please mark brainliest and have an amazing day

Answer:

This answer is only an estimate but I think the ant could travel 1372 inches in 7 minutes.

Step-by-step explanation:

The problem states that the ant could travel 980 inches every 5 minutes so, if you divide 980 by 5 you should get 196. So this means that every minute the ant could travel 196 inches, and the question is, how far can the ant travel in 7 minutes? So to get the answer you should only need to multiply 196 to 7 then you should get 1372. Hope this helps and if you could mark this as brainliest. Thanks

What is the value of g(f(-5))?

Answers

Replace x in the equation for f(x) with -5:

|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1

Now find x 1 and see where the graph of G(x) crosses the Y :

It crosses ay Y = 5

The answer is A. 5

Answer:

The correct answer is A. 5.

Step-by-step explanation:

I got it right on the Edmentum test.

12 % of 140 = with explanation

Answers

Answer: 16.8

Step-by-step explanation: 12% of 140 = 16.8. (I’m not sure what I say for the explanation! Really sorry! But I hope I helped!)

Answer:

16.8

Step-by-step explanation:

12 % of 140

12/100×140

12×140/100

1680/100

16.8

So 16.8 is the answer

if y varies directly as x and y= 6 when x= 10 find x when y=18

Answers

First, you plug in the first set of numbers into the direct variation equation (y=kx). This will be 6 = k(10). Then, you solve for the variable k. Divide 6 by 10 to get k alone on the right side, and k equals 3/5. Then, you plug in y and k to find the new x number. This would be 18 = 3/5(x). Multiply both sides by the reciprocal of 3/5 to get x alone on the right side. This would make x = 30. If y = 18 and the variables vary directly, x would be equal to 30. Hope you have a great day!

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y ∝ x

y = kx

k = 0.6

The value of x when y = 18 is 30.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 5y is an equation.

2x + 4 + 9 is an equation.

We have

if y varies directly as x.

This can be written as,

y ∝ x

y = kx _____(1)

From (1),

y = 6 when x= 10

6 = 10k

k = 6/10

k = 0.6

Now,

y = 0.6x

when y = 18,

18 = 0.6x

Divide both sides by 0.6.

x = 18/0.6

x = 180/6

x = 30

Thus,

y ∝ x

y = kx

k = 0.6

The value of x when y = 18 is 30.

Learn more about equations here:

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The dimensions of a box are 3 cm × 5 cm × 7 cm. The width, length, and height of the box must be increased by the same amount x in order for the box to have a volume of 693 cm cubed. Determine the value of x that will produce a box with a volume of 693 cm3

Answers

Answer:

its 6.6 (I think???)

Step-by-step explanation:

the volume of that box is 105 and 105 x 6.6 is 693. please forgive me if I'm wrong i havent learned this yet.

The dimensions of the new box are 7 cm, 9 cm, and 11 cm.

How to solve

The original volume of the box is 357 = 105 cm3. After the dimensions are increased by x, the new volume is (3+x)(5+x)(7+x) = 693 cm3.

Expanding the product gives [tex]x^3+15x^2+71x-588 = 0.[/tex]

This cubic equation can be solved for x, and the only real solution is x = 4.

Therefore, the value of x that will produce a box with a volume of 693 cm3 is 4. This means that the dimensions of the new box are 7 cm, 9 cm, and 11 cm.

Read more about cubic equation here:

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What is 3 ÷ 2/5 ? I need your help please

Answers

Answer:

[tex]\frac{15}{2}[/tex]

Step-by-step explanation:

Answer:

0.3 or 3/10

Step-by-step explanation:

Someone Help Me Please. ?

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer is B I think.

Step-by-step explanation:

Natalie walked 3/5 miles in 1/2 hour. How fast did she walk, in miles per hour?

Answers

Answer:

1.2 mph

Step-by-step explanation:

PLEASE MARK BRAINIEST

If f(x) = 3(x + 1) - 5x and g(x) = 12 - (6x - 7), solve the equation you get when
f(x) = g(x). Help ASAP pls!

Answers

Answer:

X=4

Step-by-step explanation:

F(x)=g(x)

3(x + 1) - 5x=12 - (6x - 7)

3x+3-5x=12-6x+7

-2x+3=19-6x

-2x+6x=19-3 (collecting like terms)

4x=16 (divide both side by 4 (

X=4

Lulu has to buy paper towels. She can buy 3 rolls for $2.97, 12 rolls for $10.80, or 20 rolls for $18.40. Assuming all the rolls are the same type of paper towel which is the best deal?

Answers

The 12 rolls for 10.80 I’m guessing

Answer:

The best deal is 12 rolls for $10.80

Step-by-step explanation:

2.97 divided by 3= $0.99 No

12 rolls for $10.80= $0.90 = $21.6 for 24 rolls

20 rolls for $18.40=$0.92=

0.92 times 4= $3.68

18.40+$3.68=$22.08 for 24 rolls


If y varies directly as the cube of x, and y=
54 when x = 3, find y when x= 5.​

Answers

Answer:

250

Step-by-step explanation:

From the question given above,

y varies directly as the cube of x. This can be written as

y ∝ x³

y = Kx³

Next, we shall determine the value of the constant (K) as follow:

y = 54

x = 3

K =?

y = Kx³

54 = K × 3³

54 = K × 27

Divide both side by 27

K = 54/72

K = 2

Finally, we shall determine the value of y when x is 5.​ This can be obtained as follow:

x = 5

K = 2

y =?

y = Kx³

y = 2 × 5³

y = 2 × 125

y = 250

Therefore, the value of y is 250

Multiply. Do not round your answer. Be sure to include a decimal point in your answer.

1.7 · 11.59 =

Answers

Answer:

19.703

Step-by-step explanation:

Answer:

Step-by-step explanation:

  11.59

*     1.7   Remove the decimal point 3 spaces (remember to add that at the end)

       1159

     *    17

________

       8113

    11590

_________

   19,703 add the decimal space => 19.703

triangles ABC and DEF are similar


find the length of segment DF​

Answers

Answer:

2.68

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio

[tex]\frac{DF}{AC} =\frac{DE}{AB}\\\\\frac{DF}{4} = \frac{1.34}{2}\\\\ DF = \frac{1.34}{2}*4\\\\DF = 1.34 * 2 \\\\DF = 2.68[/tex]

Find the missing dimension.
Use the scale 1: 15.
Item: Pipe
Model: Length: 5 ft
Actual: Length:___ft

Answers

Answer:

75ft

Step-by-step explanation:

Hello There! With the information given in the problem we can set up a ratio in order to help us solve for the actual length that the model is scaled upon.

This ratio can be written as:

[tex]\frac{1ft}{15ft}[/tex]

From this we just set up another ratio in relation to the original. In this one we will be solving for x.

[tex]\frac{1ft}{15ft}[/tex]  x  [tex]\frac{5ft}{x}[/tex]

After solving for x we find that the actual model should be roughly 75ft.

Hope this helps!

-HM

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