In the equation f(x) = 3(x – h) 2+ k, what does (h,k) tell?

Answers

Answer 1

Answer:

(h,k) shows the coordintes of the turning point.

Answer 2

Answer:

coordinates of the vertex

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - h)² + k ← is in vertex form

with vertex = (h, k )


Related Questions

pls help!!

Find the area. Simplify your answer.
3x

3x

Answers

Answer:

9[tex]x^{2}[/tex]

Step-by-step explanation:

The area of a parallelogram is equal to the base times the height.

The base is 3x and the height is also 3x so the area will equal

3x × 3x

When you multiply variables you multiply the coefficients and add the exponents so when you multiply 3x and 3x you multiply 3 and 3 and the exponents 1 and 1 so you get 9[tex]x^{2}[/tex]  

URGENT 30:48 in the form 1:n where n is a decimal

Answers

Between 30 and 48 okay hope you get it right but I’m not sure

Miguel compró 17 botellas de cerveza en el mercado y quiere trasladarlas a su vehiculo. Si solamente puede transportar 3 botellas a la vez, cuál es el mínimo número de viajes que debe hacer para llevar todas las botellas

Answers

Answer:

Minimum 6 trips

Step-by-step explanation:

Miguel bought 17 bottles of beer at the market and wants to transfer them to his vehicle. If he can only transport 3 bottles at a time, what is the minimum number of trips he must make to carry all the bottles?

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

The minimum number of trips is:

17/3= 5 2/3 ≈ 6 rounded up

We considered 2/3 as the whole 1 because you can't make partial trips

Can someone please help me

Answers

9514 1404 393

Answer:

  c.  90°

Step-by-step explanation:

Every corner of a square or rectangle is a 90° angle, also called a "right angle."

  ∠MLK = 90°

covert 30 to binary (base 2)

Answers

Answer:

11110

Step-by-step explanation:

1*16 + 1*8 + 1*4 + 1*2 + 0*1

What is 3/4 minus 2/5

Answers

Answer:

1.-1

Step-by-step explanation:

3/4-2/5 line them up and subtract acroseeed so 3-2 is 1 and 4-5 is -1 so its 1.-1

Answer:

[tex]\frac{7}{20}[/tex] ↢↢ This The Answer

Step-by-step explanation:

[tex]\frac{3}{4} - \frac{2}{5}[/tex]

PLEASE ANSWER THIS ASAP!I will mark the brainiest!

Answers

Answer:

D

Step-by-step explanation:

You have to keep in mind that the opposite side length depends on the size of the angle. If you are comparing side lengths, the smaller side length will have a smaller corresponding angle. That being said angle J needs to be smaller than 82, and larger than 0.

Use algebra to determine that x has to be greater than 3 in order to be above 0. X also has to be less than 44 in order to be less than 82.

Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?

Answers

Answer: 11+23i

Step-by-step explanation:

(i+5)(3+4i)

First foil

3i+4i^2 +15+20i

Then combine like terms

23i+15+4i^2

i^2 = -1 so,

23i+15+4(-1)

11+23i

Hello i just want to thank anyone who has helped me pass tests. they dont even know they got an A in math

Answers

Answer:

well, I'm glad u got a A in math!

Step-by-step explanation:

What are the coordinates of point A (−234,1) after it is reflected across the x-axis?

Answers

Answer:

(-234, -1)

Step-by-step explanation:

Answer:

(-234,-1)

Step-by-step explanation:

Reflecting across x-axis means negative y, across y-axis means negative x

The expression -120 + 13m represents a
submarine that began at a depth of 120 feet
below sea level and ascended at a rate of
13 feet per minute. What was the depth of the
submarine after 6 minutes?

Answers

Answer: 42 feet below the sea level

Step-by-step explanation: To solve for the depth, simply just plug in 6 into the equation by substituting "m" since the variable represents minutes, and the submarine has been traveling for 6 minutes.

f(6) = -120 + 13(6)

f(6) = -120 + 78

f(6) = -42

When solved,  the answer is 42.

Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.

Answers

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation:

Jim rolls a fair dice 36 times. How many times would Jim expect to roll a three?​

Answers

Answer:

6

Step-by-step explanation:

36/6=6

if it is a fair dice it will be even

Answer:

I think it's 6 but I'm not sure

Step-by-step explanation:

36:6=6

yesterday 170 guests at a hotel called for room service, and 255 guests did not call for room service. what percentage of the guests did not call for room service yesterday ​

Answers

Answer:

About 53% of guests did not call for room service

Step-by-step explanation:

Total number of guests is 170+255= 425 guests total

Number of guests who didn’t call room service divided by the total number of guests gives us the percentage of guests who didn’t call room service

255/425 = 0.529412

Multiply by 100 to get a percentage

= 52.9412%

We can round to 53%.

How long does it take a runner to run 840 meters if they run at an average speed of 6 m/s.

Answers

The runner is running an average speed of 6m/s and he needs to run 840 the answer is 140 seconds or 2 minutes 20 seconds because 840/6=140

A 10-mile bike race is divided into 4 equal sections.

Which equation shows how to find the number of miles in each section?

Math item stem image
CLEAR CHECK

4÷10=410 mile



4÷10=104 miles



10÷4=410 mile


10÷4=104 miles

Answers

Answer:

Step-by-step explanation:

read the question it says

a 10 mile bike rade is DIVIDED into 4 equal sections

10 DIVIDED BY 4

10÷4=104 miles

The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches 3. What is the area of the base of the trailer ramp in the square centimeters?

Answers

Answer:

A = 2167.73 cm²

Step-by-step explanation:

Given that,

A trailer ramp is in the shape of a triangular prism.

the height of the ramp, h = 14 inches

The volume of the ramp, V = 4704 inches²

We need to find the area of the base of the trailer ramp.

The volume of the triangular prism is given by :

[tex]V=A\times h[/tex]

A is area of base and h is height

[tex]A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2[/tex]

or

A = 2167.73 cm²

So, the area of the base of the ramp is 2167.73 cm².

Steven and his cousin Rebecca are picking apples in their grandparents' orchard. Steven has filled
5 baskets with apples and is filling them at a rate of 6 baskets per hour. Rebecca has 6 full baskets
and will continue picking at 5 baskets per hour. Once the cousins get to the point where they have
filled the same number of baskets, they will carry them to the barn and then eat lunch. How much
fruit will they have picked by then? How long will that take?

Answers

Answer:I say they’d will pick 22 brackets of apples by time they reach nome and they will take 3 hours 40 minutes

Step-by-step explanation:because if u count all the baskets you get 22 course 6+6+5+5=22 and if 6 baskets were filled in 1 hour then 1 hour + 1 hour = 2 hours and then since they only picked five more take away 10 minutes from a hour then same for the other five. After we add the hours and the minutes and we get 3 hours 40 minutes.

Which of the following statements about AB and AC is true?​

Answers

Answer:AB is longer than AC

Step-by-step explanation:AP3X

Answer:

c

Step-by-step explanation:

I just did it on A.P.E.X.

what is the slope of the line?

Answers

Answer:

8\5 is the answer 8 is the rise and 5 is the run

Answer:

[tex]-\frac{8}{5}[/tex]

Step-by-step explanation:

The coordinates of the top black point are (-1, 4). The coordinates of the bottom black point are (4, -4).

You can work out the slope by dividing the difference in both y-coordinates by the difference in both x-coordinates:

[tex]\frac{4-(-4)}{-1-4} =\frac{8}{-5}=-\frac{8}{5}[/tex]

Jesse's starting salary is $30,000 a year. He gets a 3% raise after his first year. Then he gets a 10% bonus on his second-year salary. How much is Jesse's bonus?

Answers

Answer:

$3090

Step-by-step explanation:

First take $30,000 * 0.03 (3%) to get $30, to get $900. Then add 30,000 +900 to get first year salary. Next take 30,900 (Jesse's salary after the first year) times 0.1 (10%) to get 3090 which is his bonus for the second year.

3. Show how 10 - 6 helps you solve 50 - 6.

Answers

Answer:

10 - 6 equals 4

50 - 6 = 44

It helps you use 4 again.

That is how it helps you.

Step-by-step explanation:

4x-6+3(2-x)=2x-(x-4)
How many solutions are there to this equation?

Answers

Answer:

No solution (0 solutions)

Step-by-step explanation:

Simplify it as shown below:

4x-6+3(2-x)=2x-(x-4)

4x-6+6-3x=2x-x+4. (on the left side the negative 6 and the positive 6 cancel out, and then combine like terms on both sides)

x=x+4

No solution

Answer:

no solutions

Step-by-step explanation:

Given

4x - 6 + 3(2 - x) = 2x - (x - 4) ← distribute and simplify both sides

4x - 6 + 6 - 3x = 2x - x + 4

x  = x + 4 ( subtract x from both sides )

0 = 4 ← not possible

This indicates the equation has no solution

can you help me please​

Answers

Answer:

Step-by-step explanation:

1) 6x + 2y = -4

         2y  = -6x - 4

           [tex]y = \frac{-6x}{2} - \frac{4}{2}[/tex]

 Ans: y = -3x - 2

2) [tex]y - y_{1} = (\frac{y_{2}-y_{1}}{x_{2}-x_{1}})(x - x_{1})[/tex]

3) y - y1 = m(x - x1)

4) y = mx + b

What is the maximum number of possible extreme values for the function, F(x)=x^4+x^3-7x^2-x+6?

A. 2

B. 4

C. 5

D.3

Answers

Coming from a 6th grader but I hope this is right!

Polynomials of degree greater than 2 can have more than one max or min value. The largest possible number of minimum or maximum points is one less than the degree of the polynomial. The following examples illustrate several possibilities.

since the degree is 4

number of possible extreme values = 4 -1 = 3

Answer:3

Step-by-step explanation:

beanssss

If I can run 1/4 mile in 3 minutes how long would it take me to run 26.2 miles?

Answers

There is four 1/4's per mile.

This means you run 1 mile in 3 x 4 = 12 minutes.

Multiple minutes per mile by total miles:

12 minutes per mile x 26.2 miles = 314.4 minutes.

1 hour = 60 minutes:

Divide total minutes by 60 to get hours:

314.4 minutes / 60 minutes per hour = 5.24 hours.

Multiply the decimal part of the hour by 60 to get the minutes:

0.24 x 60 = 14.4 minutes = 14 minutes and 24 seconds.

Total time = 5 hours, 14 minutes and 24 seconds.

Fill in the blanks in the proof please need ASAP

Answers

Answer:

3. FI ⊥ GH, right angle of 90°

5. same segment

6. SAS

Step-by-step explanation:

What is the standard form of the equation y = −x − 2?

Answers

The answer is X+y=-2

Maria has a paper route with 100 customers. She delivers a paper to each customer once a
week. Each week she is paid $25.00 plus an additional $0.05 for each paper she delivers.
Maria wants to buy a phone that costs $230.00, including taxes. How many weeks will it
take Maria to earn enough money to buy the phone?

Answers

Answer: 9

Step-by-step explanation:

25x9 = 250+ tax

The sum of the measures of the angles shown is 81°. Which is the measure of angle y? ​

Answers

Answer:

55

Step-by-step explanation:

You can do:

81 - 26 = 55

The sum of the angles (81) minus the angle that is represented (21)

Answer:

55

Step-by-step explanation:

Since the sum of the two angles is 81, i did

81- 26=55

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