Finish the steps below to write a quadratic function for the parabola shown. use the vertex form, f(x) = a(x – h)2 k, and substitute in the values for h and k. f(x) = a(x – 5)2 3 use another point and substitute in values for x and f(x). solve for a. 5 = a(6 – 5)2 3 write the function, using the values for h, k, and a. the function is f(x) = (x – )2 .

Answers

Answer 1

The vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]

What is the vertex form of parabola?

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

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

Here, (h, k) is the vertex point.

Substitute the values for h and k in the above vertex form.

[tex]f(x) = a(x -5)^2+ 3[/tex]

Use another point and substitute in values for x and f(x). Solve for a.

[tex]5 = a(6 - 5)^2 +3\\5-3=a(1)\\a=2[/tex]

Rewrite the function, using the values for h, k, and a. The function is

[tex]f(x) = 2(x -5)^2+ 3[/tex]

Hence, the vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]

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Answer 2

Answer: 1st slot: 2 | 2nd slot: 5 | 3rd slot: 3 | correct on edge 2023!


Related Questions

Runchuan filled his 6-cup jar with honey. How many times could he fill his 2-fluid-ounce honey bear
from the jar? Explain.

Answers

Answer:

144

Step-by-step explanation:

Since there are 48 fluid-ounce in a cup, we can do 6 x 48

6 x 48 = 288

Now we know how much fluid ounces are in the 6 cups we can divide by the honey bear ( 2 fluid ounce ).

288/2 = 144

Find the diameter of a circle with area 28.3 yd2

Answers

Answer:

6.002722642yd

Step-by-step explanation:

Area to Radius:

Area of a circle = (pi)r(squared)

28.3= pi x r2

28.3/pi = r2

9.0081...=r2

square root of 9.0081...= radius

radius= 3.001361321yd*

Radius to Diameter:

diameter = radius x 2

d = 3.001361321* x 2

d = 6.002722642yd*

*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!

Hope this helped :)

A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.

Answers

Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.

The other parameters are [tex]n = 50, \pi = 0.67[/tex].

Then, the bounds of the interval are given as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]

The 83% confidence interval is (0.5789, 0.7611).

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Answer:

CI = (57.89%, 76.14%)

Step-by-step explanation:

First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem

Answers

Answer: converse alternate exterior angles theorem

Step-by-step explanation:

The angles are alternate exterior angles.

A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per hour worked the graph shows the relationship between pay per hour and number of hours worked for both scenarios.

Answers

Answer:

C. (25,20)

Step-by-step explanation:

Edge2022 <3

Good luck and remember (yall that take edge) , you can get through the day no matter how hard it may seem. I have faith In you guys :).

If number of hours worked is less than 20, 500 flat rate is preferable

and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.

What is Inequality?

An inequality is a mathematical statement that compares two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

In the first scenario, where there is a $500 flat rate regardless of the number of hours worked, the pay per hour remains constant at $500 divided by the number of hours worked.

So, the graph for this scenario would be a horizontal line at a height of $500.

In the second scenario, where the contractor is paid $20 per hour worked, the pay per hour is fixed at $20.

let the number of hours be worked be x.

Then, 20x < 500

x< 25

So, if number of hours worked is less than 20, 500 flat rate is preferable

and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.

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what is the slope of the line created by the points (9, 8) & (4, -3)?

Answers

Answer:

11/5

Step-by-step explanation:

y2-y1/x2-x1

= -3-8/4-9

= -11/-5

= 11/5

The average January surface water temperatures (°C) of Lake Michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34. The data set has the following statistics:

x = 4.312
Variance squared2 = 0.577
What is the standard deviation? Round to the nearest thousandth.

0.333
0.760
2.077
18.593

Answers

0.760 is the correct answer

Answer:

the answer is B 0.760

Step-by-step explanation:

i did the test.

I AM GIVING AWAY 30 POINTS TO WHOEVER ANSWERS ME

Answers

Answer:

Answer B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The venn diagram of the option B is correctIt is a fact that all whole numbers are real numbersBut, all real numbers, such as 3/4, are not always whole numbers

Solve using substitution
I WILL GIVE THANKS AND MARK BRAINLIEST.

Answers

Answer:

[tex]\displaystyle Dependency\:[Infinitely\:Many\:Solutions][/tex]

Explanation:

In the bottom equation, moving [tex]\displaystyle -2x[/tex]to the oppocite side will give you the linear standard equation above it, therefore numerous solutions will occur.

I am joyous to assist you at any time.


ABC and AED are straight lines.
BE and CD are parallel.
A
B
AD = 10.5 cm
AE = 4.2 cm
BE = 2.9 cm
a) Work out length CD.
AC = 8.75 cm
b) Work out length BC.

Answers

Answer:

  a) CD = 7.25

  b) BC = 5.25

Step-by-step explanation:

a)

The parallel lines mean the triangles are similar. ΔADC ~ ΔAEB. Corresponding sides are proportional, so ...

  AD/AE = DC/EB

  10.5/4.2 = CD/2.9

  CD = 2.9(5/2) = 7.25

__

b)

Corresponding sides are proportional, so ...

  BC/AC = ED/AD

  BC = AC(ED/AD) = 8.75(10.5 -4.2)/10.5 = 8.75(3/5) = 5.25

What is the value of x? (angle bisector problem)

Answers

Answer:

47

Step-by-step explanation:

According to angle bisector theorem we get the following ratio:

VT/KT = VY/KY

Substitute the lengths and solve for x:

77/87.5 = 22/(x - 22)77(x - 22) = 87.5*2277x - 77*22 = 192577x = 1925 + 169477x = 3619x = 3619/77x = 47

Use angle bisector theorem

77/87.5=22/x-2277x-1694=192577x=3619x=3619/77x=47

If the slope of a line is zero the line must be a
line.

Answers

Answer:

Straight along the horizontal axis

Step-by-step explanation:

Hope this helped :)

Im really stuck please help guys?

Answers

Answer:

75°

Step-by-step explanation:

180°-105°=75°

Hope this helps!

If not I am sorry.

What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?

Answers

Answer:

​x​³ + 9x² + 16x - 6

Step-by-step explanation:

First, you have to multiply x + 3 with x² + 6x - 2.

(x + 3)(x² + 6x - 2)

You will get:

x · x² = x³

x · 6x = 6x²

x · -2 = -2x

3 · x² = 3x²

3 · 6x = 18x

3 · -2 = -6

When you combine these, you get:

x³ + 6x² - 2x + 3x² + 18x - 6

Add them up to get your answer,

x​³ + 9x² + 16x - 6.

Hope this helps!

robert gets a loan from his bank.
he agrees to borrow £6000 at a fixed annual simple interest rate of 7%
he also agrees to pay the loan back over a 10-year-period.
how much money in total will ha have paid back at the end of the 10 years?

Answers

Answer:

£10200

Step-by-step explanation:

Amount borrowed (P) = £6000

Rate of interest (R) = 7%

Time (T) = 10 years

First, let us calculate the simple interest (SI) for 10 years.

Formula for simple interest is given as:

[tex]S.I.=\frac{PRT}{100}[/tex]

Plugging the values of P, R and T in the above formula, we find:

[tex]S.I.=\frac{6000(7)(10)}{100}[/tex]

S.I.= £4200

Total money paid back at the end of the 10 years

= £6000 + £4200

= £10200

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 π and round your final answer to the nearest hundredth. the radius is 2

Answers

Answer:

[tex]10.67\pi[/tex] OR [tex]33.49[/tex]

Step-by-step explanation:

Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]

Radius = 2

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *\pi*2^3[/tex]

[tex]\frac{4}{3} *\pi*8[/tex]

[tex]10.67\pi[/tex]

OR

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *3.14*2^3[/tex]

[tex]\frac{4}{3} *3.14*8[/tex]

[tex]\frac{4}{3} *25.12[/tex]

[tex]33.49[/tex]

Hope this helps!

write down the next two terms of the number pattern 2,5,8,11,14

Answers

Answer:

17 and 20

Step-by-step explanation:

Write down the next two terms of the number pattern 2, 5, 8, 11, 14

Looking at the numbers, we can tell that they are increasing by 3:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Hope this helps!

17 and 20 because they are adding 3 every time so 14+3=17 and 17+3=20

Mount Everest has a height of 8,850 meters above
sea level. A hiker at the peak descends 410 meters,
then climbs down another 370 meters. What is the
hiker's new elevation?

Answers

Answer:

8,070 meters

Step-by-step explanation:

First we add :)

410 + 370 = 780

Now we subtract :)

8,850 - 780 = 8070

Have an amazing day!!

Please rate and mark brainliest!!!

When the vertex is the highest point it is called a:.

Answers

Answer:

Maximum

Step-by-step explanation:

At the vertex the function is at aits maximum value.

CO
1 If the area of a rectangle is 306 square centimeters (cm”) and one dimension is 6
centimeters, what is the measurement of the other dimension? Use labeled sketches
and equations to model and solve this problem.

Answers

The other dimension is the width of the rectangle

The other dimension is 51 centimeters

How to determine the length of the other dimension?

The given parameters are:

Area = 306 square centimeters

Length = 6 centimeters

The area of the rectangle is calculated as:

Area = Length * Width

This gives

306 = 6 * Width

Divide both sides by 6

51 = Width

Hence, the other dimension is 51 centimeters

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8. The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will be four times the age of Sarpong now. How old is each boy?​

Answers

Answer:

Sarpong is 11.

Quartey is 39.

Step-by-step explanation:

Let Sarpong's age now = s.

Let Quartey's age now = q.

Now:

q + s = 50

In five years, their ages will be

Sarpong: s + 5

Quartey: q + 5

q + 5 = 4s

We have a system of two equations in two variables.

q + s = 50

q + 5 = 4s

We will use the substitution method.

Solve the second equation for q.

q = 4s - 5

Substitute 4s - 5 for q in the first original equation and solve for s.

4s - 5 + s = 50

5s = 55

s = 11

q + s = 50

q + 11 = 50

q = 39

Answer:

Sarpong is 11.

Quartey is 39.

What is the volume?
2 cm
2 cm
2 cm
cubic centimeters

Answers

Answer:

V = 8 cm³

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

here s = 2 , then

V = 2³ = 8 cm³

Answer:

8 cm

Step-by-step explanation:

length = 2 cmbreadth = 2 cmheight = 2 cmvolume = L*b*h              = 2*2*2               = 8 cm

One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls

Answers

Answer:

The answer is 16.4 inches

Step-by-step explanation:

The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4

If RV=w and SU=w–30, what is the value of w?

Answers

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV , then

SU = [tex]\frac{1}{2}[/tex] RV , so

w - 30 = [tex]\frac{1}{2}[/tex] w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

Julie printed out a picture of each of the four members of her favorite band to decorate her bedroom door. Each picture measures 4 inches by 6 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?

Answers

Answer:

96 inches

Step-by-step explanation:

The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.

Round 68.09 to 2 Sf please

Answers

68
I hope you understand this

Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?

12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches

Answers

Answer:

A.12x2 −6; 21 inches

Step-by-step explanation:

The perimeter  of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6

Perimeter of a triangle

The perimeter of a triangle is the sum of all its sides as shown

P = s1 + s2 + s3

Given the following

s1 = 4x^2 - 3

s2 =4x^2 - 2

s3 = 4x^2 - 1

x = 1.5

Take the sum of the sides

P = 12x^2 - 6

Substitute x = 1.5

P = 12(1.5)^2 - 6

P = 21 inches

Hence the perimeter  of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6

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Which choice shows the graph of the solution set for the inequality p - 2 > 6?

(A

"10

"5

0

5

10

B)

10

5

0

5

10

"10

5

HHHO+++

5 10

0

*10

-5

HHHO++++

0 5 10

Answers

Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

MN is a diameter of a circle with centre ' O ' . If BD = CD , prove that ∠OAD = ∠OCD
~Please help!! Thanks in advance:)​

Answers

Answer:

[tex] \sf \: Proved \: \angle \: OAD \: = \angle \: OCD[/tex]

Step-by-step explanation:

Given:

Mn is diameter of circle having centre O

and BD = OD,

To prove that:

[tex]\angle \: OAD \: = \angle \: OCD[/tex]

Solution:

Join the points O and B and draw OB,

On joining the line,

in ∆OCD and ∆OBD,

OC =OB → (Radius of same circle)

BD =CD → (from given)

OD =OD → (Common side in both the triangles)

Hence ∆OCD and ∆OBD are congruent from SSS property.

so we can say that,

[tex]\angle \: OBD \: = \angle \: OCD[/tex]

Consider above prove as statement A

Corresponding angles of congruent traingle.

in ∆ OAB,

OA = OB (radius of same circle)

hence ∆OAB is an isosceles traingle.

We know that opposite angle of isosceles traingle are always equal. hence,

[tex]\angle \: OBD \: = \angle \: OAB \\ \angle \: OAB \: = \angle \: OAD (same \: angles) \\ \angle \: OBD \: = \angle \: OAD[/tex]

Consider above prove as statement B

From Statement A & B we can say that

[tex]\angle \: OAD \: = \angle \: OCD[/tex]

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Solve and Answer correctly the question​

Answers

Distance=250mSpeed=2m/s

Time:-

Distance/Speed250/2125s2min 5s

Time started=6AM

time to reach:-

6+0:02:056:02:05 AM
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