Consider the quadratic function y = 0.3 (x-4)2 - 2.5
Determine the axis of symmetry, x =

Answers

Answer 1

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We have the quadratic function:

[tex]\displaystyle y=0.3(x-4)^2-2.5[/tex]

And we want to determine its axis of symmetry.

Notice that this is in vertex form:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola.

From our function, we can see that h = 4 and k = -2.5. Hence, our vertex is the point (4, -2.5).

The axis of symmetry is equivalent to the x-coordinate of the vertex.

The x-coordinate of the vertex is 4.

Therefore, the axis of symmetry is x = 4.


Related Questions

what is the constant proportionality in the equation y=2.5x

Answers

Answer:

Step-by-step explanation:

Which two shapes make up the digital camera below?

Answers

Rectangular prism and cylinder

Rectangular prism and cylinder make up a camera.

What is rectangular prism and cylinder?

A cube is a rectangular prism with all of its sides being the same length, a triangular prism has a triangle as its base, and a rectangular prism has a rectangle as its foundation. Another form of right prism that has a circle as its basis is a cylinder.

A rectangular prism includes a total of 6 faces, 12 sides, and eight vertices. Like a cuboid, it contains three dimensions- the base width, the height, and the length. The top and base of the rectangular prism exist rectangular. The pairs of opposite faces of a rectangular prism exist as identical or congruent.

A cylinder contains traditionally been a three-dimensional solid, one of the most essential curvilinear geometric shapes. Geometrically, it includes been regarded as a prism with a circle as its base.

Hence, Rectangular prism and cylinder make up a camera.

To learn more about rectangular prisms and cylinders refer to:

https://brainly.com/question/15594686

#SPJ2

According to this diagram, what is tan 62°?
62°
17
18
280
90°
15
O A.
8
17
OB.끝
O c. 1
8
15
D.
15
8
O
E.
17
15
F.
15
17

Answers

Answer:

15/8

Step-by-step explanation:

tan(62)=P/B

tan(62)=15/8

Can someone do #4 and #5

Answers

Answer:

First, find two points on the graph:

(x₁, y₁) = (0, 2)(x₂, y₂) = (2, 8)

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{8-2}{2-0} =\frac{6}{2}=3[/tex]

16 + (-3) = 16 - 3 = 13

solve similar triangles (advanced)
solve for x

Answers

Answer:

x = 27/8

Step-by-step explanation:

We can write a ratio to solve

x               3

------- = ----------

x+9           11

Using cross products

x*11 = 3(x+9)

11x = 3x+27

Subtract 3x from each side

8x = 27

8x/8 = 27/8

x = 27/8

What is the value of the capacitance of a capacitor that stores 40
μ
C on each plate, when a potential difference of 10 V is applied to it?

Answers

Charge=Q=40uCPotential difference=V=10VCapacitance=C=?

We know

[tex]\boxed{\sf Q=CV}[/tex]

[tex]\\ \large\sf\longmapsto C=\dfrac{Q}{V}[/tex]

[tex]\\ \large\sf\longmapsto C=\dfrac{40}{10}[/tex]

[tex]\\ \large\sf\longmapsto C=4\mu F[/tex]

A 90% confidence interval is (35 45). What is the margin of error?
A. 5
B.4.5
C.9
D.10

Answers

Answer:

option A 5

I hope it's correct

.....

What is the volume of the cone

Answers

Answer:

The volume of this cone would be approximately equal to 2787.64 [tex]yd.^2[/tex].

Step-by-step explanation:

The formula used to calculate the volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex] where [tex]r[/tex] represents the radius of the circle at the base of the cone, and [tex]h[/tex] represents the vertical height of the cone. In this case, [tex]r[/tex] equals the diameter of the base divided by two, which is [tex]\frac{22}{2}[/tex] or 11 yards; and [tex]h[/tex] is equivalent to 22 yards. Insert these values into the formula and you'll get that the volume of this cone is equal to [tex]11^2*\pi*\frac{22}{3} = 121\pi * \frac{22}{3}[/tex] ≈ 2787.64 [tex]yd.^2[/tex], so that is the correct answer.

PLEASE HELP AND BE CORRECT

Answers

(b⁷/4⁵)⁻³

= (4⁵/b⁷)³

= 4¹⁵/b²¹

Therefore answer is option b

Must click thanks and mark brainliest

Please I need the answer according to steps

Answers

Answer:

Factorise out x and y terms:

[tex]{ \tt{ = \frac{ {x}^{2} {y}^{4} (5x - 3y)}{45} }} \\ [/tex]

there are 40 marbles in an urn: 14 are green and 26 are yellow. you reach into the urn and randomly select 4 marbles without replacement. what is the probability that at least one of the marbles is green

Answers

Answer:

p=0,83641536

Step-by-step explanation:

Let's calculate the probability that all 4 marbles are yellow:

p=26/40*25/39*24/38*23/37 ( no replacement)

=0,1635846372688....

probability that at least one of the marbles is green= 1-p

=0,83641536...

2(4×+2)=10
[tex]6 \times + 4 = 10 \\ \\ 6 \times = 10 - 4 \\ \\ 6 \times = 6 \\ \\ [/tex]
that is the answer

Answers

Answer:

x = 3/4

Step-by-step explanation:

2(4x + 2) = 10           Remove the brackets

8x + 4 = 10               Subtract 4 from both sides

8x = 6                       Divide by 8

x = 6/8

x = 3/4

Check

2(4*3/4 + 2) =?10

2( 3 + 2) = 10

2*5 = 10

10 = 10

Write the equation in slope-intercept form. y = 7(x + 2) + 3x

Answers

Step-by-step explanation:

y=mx+c

where m=7(x+2)and c=3x

Answer:

y= 10x +14

Step-by-step explanation:

Distribute parenthesis:

7(x+2) + 3x = 7x +14 +3x

Then combine like terms:

7x + 3x = 10x +14

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
4L TO 7.2 L

Answers

9514 1404 393

Answer:

  5/9

Step-by-step explanation:

  [tex]\dfrac{4\text{ L}}{7.2\text{ L}}=\dfrac{40}{72}=\dfrac{5\cdot8}{9\cdot8}=\boxed{\dfrac{5}{9}}[/tex]

This graph represents which of these expressions?

Answers

Answer:

x > 43

Step-by-step explanation:

Open circle at 43, which means it is not equal to 43

Line goes to the right, which means x is greater than

x > 43

Answer:

B

Step-by-step explanation:

I HAVE ANOTHER ONE MY MOM THINKS I AM SMART TO GET THIS BUT I CANT HEEEELLLLLLPPPP PLZ I WILL THANK EVERYONE WITH THE RIGHT ANSWER HELLLLLPPPPPP FAST

Answers

Answer:

-4 + -6 = 10

Step-by-step explanation:

The first point is 4 units below zero, so -4

The next point shows that it is 10 points below zero, so -10

-4 + blank = -10

-10 - (-4) = -10 + 4 = -6

blank = -6

Check:

-4 + (-6) = -10

-4 - 6 = -10

correct

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Jean drove 67 miles per hour for a total of 469 miles on a trip. She used the equation below to calculate the time, t, it would take her to complete the trip.



469 = 67t


What is the constant of proportionality in the equation?
A.
7
B.
67
C.
469
D.
t

Answers

9514 1404 393

Answer:

  B.  67

Step-by-step explanation:

Miles are proportional to time at some speed. The constant of proportionality is the speed, 67 (miles per hour).

URGENT! WILL GIVE BRAINLIEST (PICTURE INCLUDED)

Answers

9514 1404 393

Answer:

  x > -1 and x ≠ 3

Step-by-step explanation:

The function value will be positive when there are an even number of negative factors. The factors change sign at x = -1, are zero at x = 3. The expression is positive for ...

  x > -1 and x ≠ 3

5 A machine puts tar on a road at the rate of 4 metres in 5 minutes.
a) How long does it take to cover 1 km of road
b) How many metres of road does it cover in 8 hours?​

Answers

Answer:

5 a) Total = 20.83 hrs = 20 hrs and 50 mins  (1250mins total)

5 b) Total = 96 meters. = 0.096km in 8 hrs.

Step-by-step explanation:

1km = 1000 meters

5 mins = 4 meters

1000/4 = 250 multiplier

250 x 5mins = 1250 minutes

1250/60 = 20hrs + 50 minutes

50 / 60 =  0.83 = 20.83hrs

b)  8 hrs = 8 x 60 = 480 minutes

480/5 = 24 multiplier of 4 meters

24 x 4 = 96 meters

How to make my answer for 0.70 a fraction

Answers

Answer:

0.70 = 7/10

Step-by-step explanation:

Answer:

70/100 or 7/10 (Simplified)

Step-by-step explanation:

0.70 is basically .70 of 1. You can wrote this as a fraction, 70/100. If you divide 70 by 100, it gives you .70.

If you want to simplify it, it becomes 7/10, and if you divide 7 by 10, it also gives you 0.70.

Depends if you want your fraction simplified or not.

have a great day.

Pls if anyone knows the answer with work included/steps that will be greatly appreciated :) for 6 just want to know is it w y x or z

Answers

Answer:

Step-by-step explanation:

Let's begin calculating the MPH for Fran.: Joanne's MPH is 250 / 2.5 = 100 MPH.

Now I'm going to subtract the 100 MPH by Fran. going 10 MPH less: 100 - 10 = 90.

I can't see the bottom part of the graph, so based on the MPH, it might be X, if you could put a better picture it would be better!

Your parents deposit 2 50-dollar bills at the bank.
How much money did they deposit?

Answers

$100 is what they deposited!!

Answer: $100

Step-by-step explanation:

Considering 50 + 50 = 100

This means that the amount of money is $100

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
* Infinitely many solutions exist because the two situations describe the same line.
* Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
* No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
* Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.

Answers

Answer:

There is no solution to this.

Explanation :

We have a double system of equation to solve. Let x be the big number and let y be the smaller number, such that y < x.

x is equal to twice a smaller number plus 3, which translates into : x = 2y + 3

and x is equal to twice the sum of the smaller number and 1 : x = 2 * (y + 1)

We get this system to solve : [tex]\left \{{{x=2y+3} \atop {x=2(y+1)}} \right. \left \{{{x-2y=3} \atop {x-2y=2}} \right.[/tex]

It's either x minus 2y equals 3, or x minus 2y = 2 but it can't be both. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts

1106.666667 to the nearest whole number

Answers

Answer:

1106.666667 to the nearest whole number

1107

Answer:

1106.666667 rounds to 1107

Step-by-step explanation:

We look at the whole number, 6

Then look at the tenths place .6

Since 6 is greater than or equal to 5, we round the whole number up one place to 7

1106.666667 rounds to 1107

Which of the symbols correctly relates the two numbers below? Check all that
apply.
45 ? 45
A. >
B. 2
DC.s
D. =
DEZ
OF. <

Answers

Answer:

D. =

Step-by-step explanation:

Because 45 and 45 are the same number so they equal the same value

Answer:

Step-by-step explanation:

Answer  B C D

Trish's punch recipe calls for 8 liters of lemon-lime soda and 4 liters of cranberry juice, Jenny's punch recipe requires 7
liters of lemon-lime soda and 6 liters of cranberry juice. Which recipe has a higher ratio of lemon-lime soda to cranberry
juice?
( A, neither, the ratios are equivalent
B. Trish's recipe
c. Jenny's recipe
D. not enough information

Answers

B because it’s shows that 8-4=4 and 7-6=1 so there’s your answer

please can anyone help me with this question what is the probability of the spinner landing on an even number.​

Answers

1/2 chance it will land on an even number


Explanation there is 4 even numbers and 4 odd numbers meaning it’s a 50/50 chance

Is this a function graph help

Answers

Answer:

This is not a function graph as no variables are present.

find the sum of all multiples of 9 between 0 and 200​

Answers

Answer:

I thick the answer is 2277

Simplify the following expression

Answers

Answer:

[tex]\frac{98p^{6}}{q}[/tex]

Step-by-step explanation:

Distribute the exponents

[tex](\frac{(7^{-2}p^{-6}q^{-8})}{2q^{-9}} )^{-1}[/tex]

[tex](\frac{q}{98p^{6}} )^{-1}[/tex]

Distribute the -1

[tex]\frac{98p^{6}}{q}[/tex]

Other Questions
Mark draws one card from a standard deck of 52. He receives $ 0.30 for a heart, $ 0.55 for a queen and $ 0.90 for the queen of hearts. How much should he pay for one draw Which graph shows the solution to the system of linear inequalities?y>2/3x+3y- Which trend is not contributing to the current revolutionary transformation of the healthcare industry which expression is equal to sin w how internet, technology could help the campaign against generalized hatred (homophobia) directed towards the (LBBTQI) Afolktale is a popular story that was passed on in spoInfer why folktales were mostly spread by word of moa. Because people were mostly illiterateb. Because people didn't like to readC.because paper was scaryD.none of the above f a business wants to sell a product or service on the Internet for the first time, the __________ would need to understand the wide-ranging risks involved as well as the organization's security capability. A. executive committee B. operational risk committee C. compliance committee D. security committee hello i need some help pleasewhich verb would you assosiate with the following: agua,peces,bote?a: patinarb: escribirc: pescaror d: leer The Greenbriar is an all-equity firm with a total market value of $539,000 and 21,300 shares of stock outstanding. Management is considering issuing $137,000 of debt at an interest rate of 10 percent and using the proceeds on a stock repurchase. Ignore taxes. How many shares will the firm repurchase if it issues the debt securities Why do you think scientists track the genes of other organisms such as rats or mice in the database? Do you think rat genes are important to human gene research? PLZ HELP its due soon!!! Which option correctly shows one row of a stem-and-leaf plot that displays this data set? 24,35,10,32,19,26,24,30,17,19,20,35 Graph g(x)=-8|x |+1. find the vertex, focus and equation of the directrix for the conic given by (x + 1)^2 = -20(y - 3).sketch a graph of this conic Translate this sentence into an equation. 144 is the product of Diego's age and 9. Josh works at a fast food restaurant. On his first day, he accidently dropped a customer's order. The shiftmanager keeps making fun of this accident, which makes Josh uncomfortable.What should Josh do?be careful not to drop anything in the futureO respond by making fun of the manager in returnO kindly ask the manager to stop ridiculing himO react verbally by arguing with the manager Find the slope of the line that passes through the two points. 4,4 & 4,9HELPPPPPPP A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each section is painted a different color. The radius of the circle is 10 meters. What is the area of each section of the circle There are six major groups of enzymes. The categories are based on the types of reactions that they catalyze. What type of enzyme can join together two molecules to make a larger molecule such as a long strand of DNA what would happen if you boil a substance in an alcohol