What is the axis of symmetry for y=8x2+2x−6?

Answers

Answer 1

Answer:

y=2( x - [tex]2^{2}[/tex])-2

Step-by-step explanation:

Use the vertex form,  y=a(x - [tex]h^{2}[/tex])+k to determine the values of A,H,K

a=2

h=2

k=   -2

Since the value of a is positive the parabola opens up.

Find the vertex (h,k)

(2, -2)

Find p the distance from the vertex to the focus.

[tex]\frac{1}{8}[/tex]

Find the focus

(2,  -[tex]\frac{15}{8}[/tex])

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=2

 


Related Questions

please help me on this question

Answers

The answer to the question is C

A basketball stadium has 15 ,002 zero seats the lower level has 54 than three times as many seats as the upper level the middle level has 40 more than twice as many seats as the upper level used to solve for x and found that the upper level has 2,502 sears

Answers

Answer:

There are 7456 seats on the lower level and there are 5044 seats on the middle level.

Step-by-step explanation:

Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...

# of seats on the lower level = 3x - 50

# of seats on the lower level = 3(2502) - 50

# of seats on the lower level = 7456

Now we just make the equation for the number of seats on the middle level, and so we get...

# of seats on the middle level = 2x + 40

# of seats on the middle level = 2(2502) + 40

# of seats on the middle level = 5044

You use 7 1/2 c flour to make 3 loaves of bread. The second person uses the same recipe. He will make b loves of bread using f cups of flour. Write an equations that represents of the relationship between b and f.

Answers

Answer:

b = 2/5f

Step-by-step explanation:

Cups of flour = loaves of bread

7 1/2 c = 3

c = 3 ÷ 7 1/2

c = 3 ÷ 15/2

= 3 × 2/15

= 6/15

= 2/5

c = 2/5

Cups of flour = loaves of bread

2/5 f = b

b = 2/5f

Solve the right triangle. Round decimal answers to the nearest tenth.

Answers

The main question isn't supplied.

Answer:

Kindly check explanation

Step-by-step explanation:

A right - angled triangle is one which has one of its angles being 90°. Once we have a right angled triangle, the rule of Pythagoras can be applied in other to solve problems relating to obtaining sides of the triangle while trigonometric relations including :

Sinθ = opposite / hypotenus

Tanθ = opposite / Adjacent

Cosθ = Adjacent / Hypotenus

To obtain the angle θ; depending on which of the sides are given.

From Pythagoras :

c² = a² + b²

Where, c = hypotenus and the longest side if the triangle.

Somebody help me with these two I have one more after then I can go outside :)​

Answers

Answer:

Step-by-step explanation:

7)

perimeter of a circle is d[tex]\pi[/tex]

50[tex]\pi[/tex]= 157.0796 for both of the circular ends

plus 200 for the two straights

357.07 m

8)

the triangle is 8*2.5 =20  for both sides

10*10 = 100

and 5*7=35  but that's a negative , it's subtracted

120-35=85

85 [tex]in^{2}[/tex]

Now go out side and get exercise  :)

Answer: 65in

Step-by-step explanation:

Break the trapezoid into a rectangle (8in by 10in) and the leftovers are 2 triangles. Find the area for the triangles. Because the top of the trapezoid is 10in and the bottom is 15in, then we know that 15-10 = 5 and that the triangles are 2.5in by 8in. Because the triangles are the same congruent, then just multiply 8 by 2.5 to get 20.

Find the middle part now, which is 8 times 10 to get 80. Then 80 + 20 = the area of the trapezoid.

Lastly, subtract the non shaded region (7x5=35) and then 100-35 = 65

(5y-3)(7y^2+11)
Simplify

Answers

Answer:

35y^3+55y-21y^2-33

Step-by-step explanation:

that's the answer

Answer

[tex]70 {y}^{2} + 13y - 33[/tex]

Step-by-step explanation:

I think that's the answer I'm not sure

27 divided by 8 is what

Answers

Answer:

3.37

Step-by-step explanation:

Decimals: 3.375
Fraction: 3 3/8

If each edge of this rectangular prism is doubled, how will it affect the volume of the prism?
A. The new volume will be 2 times the original volume.
B. The new volume will be 4 times the original volume.
C. The new volume will be 6 times the original volume.
D. The new volume will be 8 times the original volume.

PLEASE HELP ASAP ILL GIEV BRAINLIEST

Answers

Answer:

D. 8 times

Step-by-step explanation:

lmk if its right bc im not too confident </33

D. The new volume will be 8 times the original volume.

The measurements of the rectangular prism are 5m ( length ), 3m ( width ), and 2m ( height ). To find the volume of the rectangular prism, you have to multiply the length, width, and height altogether. That gives you ( 5*3*2= ) 30 cubic meters. However, if the measurements were doubled for each edge, the new measurements would be ( 5*2= ) 10m ( new length ), ( 3*2= ) 6m ( new width ), and ( 2*2= ) 4m ( new height ). Multiplying those new measurements together would get you the volume of ( 10*6*4= ) 240 cubic meters. Now, in order to find out how it affects the volume of the prism, you divide 240 cubic meters by 30 cubic meters and get 8. Therefore, the answer will be D. The new volume will be 8 times the original volume.  

Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!

Answers

Answer:

D

Step-by-step explanation:

They're not similar because the angle lengths are different.

find the domain of the function
x → √x − 1

Answers

Answer:

The domain of √x - 1 is x ≥ 0

Step-by-step explanation:

The function f(x) = √x has real outputs only for x ≥ 0.  The constant -1 is defned for all x.  

The domain of √x - 1 is x ≥ 0.

Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.

Answers

The answer is -5/2, hope this helps you!

Can anyone please help me to do this with steps

Answers

Hello, I Am BrotherEye

Answer:

I Will Help You!!

But I require More imformation Step-by-step explanation:

Bsmskak the help tie shoes tha ent t this be j294

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meters per second, while the cat can run at a speed of 24 meters per second. How soon will the cat catch the dog if the cat starts running after the dog?

Answers

Answer:

I think after 1.6 s it Will catch the dog

Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.

Answers

Can someone please on this , I need help on this too !!

-5/2

Step-by-step explanation:

-2-3/1-(-1) = -5/2

PLEASE HELP! NO LINKS- I WILL MARK BRAINLIEST!

6) using this picture, find the side measure of side G.
A) 18
B) 27
C) 9 square root 3
D) 24

(I tried and the answer is NOT C, it’s either A, B, or D)

Answers

Answer:

B

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{g}{18\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2g = 54 ( divide both sides by 2 )

g = 27 → B

características de una
función de seno

Answers

Answer:

Son funciones periódicas con un período de. 2 π. ... La gráfica de y = sin x y = sin x es simétrica con respecto al origen, porque es una función impar. La gráfica de y = cos x y = cos x es simétrica con respecto al eje y, porque es una función par.

Step-by-step explanation:

marque esta respuesta como la más inteligente

Cuando tienen el periodo

Please help me with this question

Answers

Answer:

If you know the area of one triangle, then you can multiply it by 2 to get the area of the parallelogram, because the other triangle is congruent.

Given that f(x) = 3x ^ 3 + x - 1 evaluate the function f(- 2)

Answers

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

3100

Step-by-step explanation:

V=πr2h

 = 3.14 x [tex]10^{2}[/tex]x10

 = 3100

Kallisto built a rectangular sign that measured 2 and 3/4. The width is 1 and 1/4 shorter than the length. To find the area, multiply the length and width. What is the area in square feet write an equation to solve it

Answers

Answer:

l = 1 5/16

w = 1/16

A = 21/16 x 1/16 = 21/256

Step-by-step explanation:

Perimeter = 11/4

l = length

w = l - 5/4

2l + 2(l - 5/4) = 11/4

2l + 2l - -5/2 = 1/4

multiply each side by 4

8l + 8l - 10 = 11

16l = 21

l = 21/16 or 1 5/16

width = 21/16 - 20/16 = 1/16

Answer pllzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

3 a) 6

3 b) 12

3 c) 12

4 a) 4/5

4 b) 10/9

4 c) 17/15

Find the missing number to make these fractions equal. 6/? = 4/12

Answers

Answer is 18

Step by step explanation

6/? = 4/12
?=6*12/4=18
The answer will be 18

is this rational or irrational?

Answers

Answer:

rational

hope it helps.

Smart People Come Get Yall Juice...

Answers

Answer:.......................

Step-by-step explanation: where is the juice...?

We need help over here y’all

find endpoint T, given an endpoint S (-2, 9) and Midpoint M (8, 0)

Answers

(-12, 18) i believe is the midpoint

Use the exponential growth/decay formula a. b* to solve each equation.
24. The population of Bayside, CA increased from 23,560 in 1990. The annual rate of
population increase for the next 20 years was about 6%. Predict the population of Bayside in
2010.

Answers

Answer:

the population in 2010 is 75,656.33

Step-by-step explanation:

Given that

The increase in population in the year 1990 is 23,560

The Annual rate of interest is 6%

And, the time period is 20 years

We need to find out the population in 2010

So, the following formula should be used

= Population × (1 + rate)^time period

= 23,590 × (1 + 0.06)20

= 23,590 × 1.06^20

= 75,656.33

hence, the population in 2010 is 75,656.33

To model some data, Anne ran a linear regression and found the regression equation to be y=0.554x-0.507.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]y = 0.554x - 0.507[/tex]

The question is incomplete; however, a possible question could be to interpret the given equation.

The equation is given in slope intercept form i.e. [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

So, by comparing:

[tex]y = mx + b[/tex] to [tex]y = 0.554x - 0.507[/tex]

[tex]m = 0.554[/tex]

[tex]b = -0.507[/tex]

Hence, the slope of the regression is 0.554 and the y intercept of -0.507

help please !!!!!!!!​

Answers

Answer:

n = 4

Step-by-step explanation:

Given

[tex]\sqrt{64}[/tex] × [tex]\sqrt[3]{8}[/tex]

= 8 × 2

= 2³ × [tex]2^{1}[/tex]

= [tex]2^{(3+1)}[/tex]

= [tex]2^{4}[/tex] → with n = 4

4. Triangle ABC with vertices A(2,3), B(5,8), and C(9,2) is graphed on the coordinate plane below.
Which equation represents the altitude of Triangle ABC from vertex B?

Answers

Answer:

y = 7x-27

Step-by-step explanation:

In the figure below,the segments JK and JL are tangent to the circle centered at O.Given that JL =13.2 and OJ=16.5,find OK.

Answers

Answer:

OK=9.9

Step-by-step explanation:

KJ and LJ both are on the circumference, are secants and coincides at the same outer point so they are equal.

JK=LJ so JK=13.2

Tangents are perpendicular to radius so the triangle in the circle is a right triangle.

Apply pythagorean theorem to find OK

[tex] {x}^{2} + 13.2 {}^{2} = 16.5 {}^{2} [/tex]

[tex]x = 9.9[/tex]

Other Questions
If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -axis Find the shaded area of the figure shown, correct to one decimal place. Use the pi button on your calculator for pi in your calculations. Your neighbor comes running to your home for help. She is sure her 3-year -old has taken several pills from the bathroom medicine cabinet, thinking they were candy. The child is becoming very sleepy by the time you arrive. What should you do? The points A, B, and D are on circle C, AB=BD, and m ABD = 194.What is the measure of AB? Guys please last one ok Due tonight *no links* [tex] \sqrt[3]{54} [/tex]How do I solve? (ii)Which process transfers energy from organisms at one stage in a food chainto organisms at the next?Tick the correct box.reproductionfeedingmovementphotosynthesis1 mark What was the main result of the Albany Movement in Georgia?AIt ended segregation of public schools in Albany,BIt integrated interstate bus station waiting rooms in Albany.It helped Martin Luther King Jr. and the SCLC to be better prepared in future protests.DIt helped John Lewis and Martin Luther King Jr. to write the key components of the Civil Rights Act of 1964 Find the approximate radius of a circle with a circumference of 34.48 inches. Use 3.14 for pie. Round to the nearest hundredth. Please provide steps. A team of students from UGA are completing a field study to determine the impact the American alligator has on ecosystems in places such as the Okefenokee Swamp in South Georgia over a 3-month period. In one area, they have removed the alligators and in another area they have left the alligators. What is the hypothesis the students are testing?A. If the American alligator is a keystone species, then the ecosystem with alligators absent will be healthier and contain greater biodiversity.B. If the American alligator is a keystone species, then the ecosystem with alligators present will be healthier and contain greater biodiversity.C. If the American alligator is a tertiary consumer, then the ecosystem with alligators present will contain fewer primary producers.D. If the American alligator is a tertiary consumer, then the ecosystem with alligators absent will contain more primary producers. Shelby made a mistake in her checkbook. She wrote a check for $8.50 to rent a video game but mistakenly recorded it in her checkbook as an $8.50 deposit. Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions. Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar. The height of a penny t seconds after being dropped down a well is given by the productof (10 - 3t) and (10+ 31). Find the product and simplify. help me outttt, thank you so much whoever does :)) Read the sentences from the article "Eileen CollinsNASA's First Female Shuttle Commander to Lead Next Shuttle Mission."On becoming an astronaut: "When I was very young and first started reading about astronauts, there were no women astronauts." However, she was inspired while she was a child by the Mercury astronauts, and by the time she was in high school and college, new opportunities were opening up for women in aviation.What is the meaning of the word inspired?A: influencedB: optimisticC: overwhelmedD: uplifted ENGAGEMENT: Is This Enough?Solomon thinks that this figure has enough information to figure out the values ofa and b.90a7Do you agree? Explain your reasoning, How can a peace treaty cause war? x=5 so what is (x+3) = Southern Atlantic Distributors began operations in January 2021 and purchased a delivery truck for $40,000. Southern Atlantic plans to use straight-line depreciation over a four-year expected useful life for financial reporting purposes. For tax purposes, the deduction is 45% of cost in 2021, 30% in 2022, and 25% in 2023. Pretax accounting income for 2021 was $460,000, which includes interest revenue of $68,000 from municipal governmental bonds. The enacted tax rate is 25%.Assuming no differences between accounting income and taxable income other than those described above:Required:1. Complete the following table given below and prepare the journal entry to record income taxes in 2021.2. What is Southern Atlantics 2021 net income? In which region does the ocean get the most sunlight throughout the year