Which quadratic function in vertex form has a vertex at (−5 , −4) and passes through the point (−2 , −1)?

y=−13(x+5)^2−4

y=−13(x−5)^2+4

y=13(x−5)^2−4

y=13(x+5)^2−4

Answers

Answer 1

Answer:

y = 1/3(x + 5)^2 - 4

Step-by-step explanation:

The general vertex form is;

y = a(x-h)^2 + k

From the question, (h,k) are the coordinates of the vertex which is (-5,-4)

So we have

y = a(x + 5)^2 -4

So we need to get the leading coefficient

Simply substitute the point it passes through

x = -2 and y = -1

-1 = a(-2 + 5)^2 - 4

-1 = a(3)^2 -4

-1 = 9a -4

9a = 4-1

9a = 3

a = 3/9

a = 1/3

So the equation is;

y = 1/3(x + 5)^2 - 4


Related Questions

Your parents took your family out to dinner your parents wanted to give the waiter a 15% tip if the total amount of the dinner was $67.50 what should be paid to the waiter as a tip and what is the total amount your parents will spend

Answers

Answer:

15% of $67.50 is $10.125 lets round it up to $10.13

Tip: $10.13

Total meal cost: $77.63

Brainly plz :))

Answer:

the waiter 10.13

your parents will pay 77.63

Step-by-step explanation:

67. 50 x 0.15 = 10.13

67.50 + 10.13 = 77.63

hope this helps

Brianna loves to compete in triathlons. At a race a few months ago, she finished in 360 minutes. At a race yesterday, she took 30% more time to finish. What was her time at yesterday's race?

Answers

Answer:

468 minutes

Step-by-step explanation:

Given data

At a race a few months ago, she finished in 360 minutes

let us find 30% of 360 minutes

=30/100*360

=0.3*360

=108 minutes

Hence she finished with an added time of 108minutes

Therefore, in all she finished in

=108+360

=468 minutes

find m
A.138
B.141
C.69
D.72

Answers

Answer:

C

Step-by-step explanation:

Hello There!

If you look at the image you can see that an inscribed angle is equal to one half of the major arc minus the minor arc

So for this problem here

m∠CAD would be equal to 1/2 (arc CD - arc BD)

so now we just plug in the values

m∠CAD = 1/2 ( 210 - 72)

210-72=138

138/2=69

so m∠CAD = 69

You pick a card at random, If you pick a face card, then you win $5.00. If do not pick a face card , then you lose $1.50. Is this a fair game?

Answers

Yes I would say so because you could possibly win more money than you can loose

Jason is buying fruit at the grocery store to make a fruit salad for his company party. For the fruit salad he needs the ingredients listed below.

14 lb of blueberries
23 lb of strawberries
1 lb bananas
14 lb of grapes
12 lb of oranges
The price list is shown.


How much will the fruit for the fruit salad cost? Show your work.

Answers

Answer:

82.8 for the strawberries

2.49 for the bannanna

44.8 for the grapes

35.76 for the oranges

The total is 165.85

Step-by-step explanation:

The cost of fruits for fruit salad is $200.59.

Given that, fruits for fruit salad and their costs are listed below.

How to add decimal numbers?

Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.

Total cost of blueberries

= 14 × 2.48 = $34.72

Total cost of strawberries

= 23 × 3.60 = $82.8

Total cost of bananas

= 1 × 2.49 = $2.49

Total cost of grapes

= 14 × 3.20 = $44.8

Total cost of oranges

= 12 × 2.98 = $35.78

So, total cost of fruits for fruit salad

= 34.72+82.8+2.49+44.8+35.78 = 200.59

Therefore, the cost of fruits for fruit salad is $200.59.

To learn more about the addition of decimals visit:

https://brainly.com/question/17612968.

#SPJ2

The distance around a meteor crater is 9,471 ft. Find the diameter of the crater. Use
22/7 for pi.

Answers

The distance around a circle is the circumference.

Circumference is diameter x PI

You are given the circumference and the value of pi.

To find the diameter, divide the circumference by pi.

Diameter = 9,471 / 22/7 = 3,013.5 feet

 WHO KNOWS FUNCTIONS AND ALL THAT PLZZZ HELP ME ASAP I REALLY NEED IT PLZZ


Answers

Answer: D

Step-by-step explanation:

The equation is curvy so its a quadratic

Quadratics are to the second power so the answer is d

Yes that’s righttttrtttttttttt

A car travels 20 miles in 20 minutes. What is the average speed of the car?

Answers

Answer:

1mi/1min

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 60MPH

Explanation:

20 miles in 20 minutes = 1 mile/minute

1 mile/ minute is equal to 60 miles/60 minutes = 60 MPH

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Jim began a 222​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 8 hours. If Jim walks at a rate of 5 miles per hour and rides at 33 miles per​ hour, find the amount of time he spent on the bicycle.

Answers

Answer:d =6

Step-by-step explanation:

How many different ways can a director select 4 actors from a group of
16 actors to be in a dance scene?

Answers

4. because 16/4 is 4 so there’s 4 ways

I need the answers for questions 1-6

Answers

What are the questions ??

Angle K measures 67º and angle L measures 119°.

Circle O is inscribed by quadrilateral L M N K.

What are the measures of angles M and N?

m Angle M = 61o and m Angle N = 113o
m Angle M = 67o and m Angle N = 119o
m Angle M = 113o and m Angle N = 61o
m Angle M = 119o and m Angle N = 67o

Answers

Answer:

C.  m Angle M = 113o and m Angle N = 61o

Step-by-step explanation:

It's the only answer that makes all the angles added together equal 360 degrees.

67 + 119 + 113 + 61 = 360

Answer:

C

Step-by-step explanation:

A number is selected, at random, from the set 1, 2, 3, 4, 5, 6, 7, 8. Find: p(odd)
25%
50%
100%

Answers

Answer:

50%

Step-by-step explanation:

Half of the numbers in the sequence are odd, so there's a 50% to have gotten an odd number randomly. Therefore, P = 50%

A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit

Answers

Answer:

He is making 20 naira profit for every 4 cups that he sells for 100 naira

Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira

Fred's car has run out of gasoline. He walks 4 km west and then 3 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h

Answers

Answer:

5 km

Step-by-step explanation:

From. The question, the triangle formed us a right angled triangle,

h km directly from starting point is the hypotenus, h :

Hypotenus = sqrt(opposite² + Adjacent²)

h = sqrt(4² + 3²)

h = sqrt(16 + 9)

h = sqrt(25)

h = 5 km

1.6 Describe how vocation stress may negatively affect your family life. (2x2) (4)​

Answers

unpredictable and easily loses his/her temper with family members.  A disconnect starts setting in, pushing him/her further into depression. This leads to a lack of confidence and eventually with growing frequency of arguments.

A circle has radius 3. What's the area?

a
28.26
b
28.14
c
6.28
d
29.56

Answers

Answer:

28.27.... a

Step-by-step explanation:

A town total allocation for firefighters wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter. How many firefighters can the town employ if they spend their whole budget?

Answers

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

The diagonals of the figure below represent the support beams for a patio covering.
B
E
30°
10 yards
M
A
What is the length of each support beam?
o 10 yards and 10x/3 yards
O 5 yards and 53 yards
O 10 yards and 5 yards
O 15 yards and 5 yards

Answers

Answer:B

Step-by-step explanation:

Took the test

Fill in the blank.

|-1.54| = ____

Answers

Answer:

1.54

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a , then

| - 1.54 | = 1.54

1.54

This is because the absolute value is always positive

Helppppp please!!! D:

Find the perimeter of the trapezoid below:
Please no cap!!

Answers

Answer:

Step-by-step explanation:

P=a+b+c+d = this is your name ok

) 0 Solve the following equation for x. - 4 (1 – 3x) + 4x = -100 what is x?​

Answers

Step-by-step explanation:

4 (1 – 3x) + 4x = -100

4-12x+4x=-100

-12x+4x=-100-4

-8x=-104

x=-104/-8

x=13

Answer:

x = − 12

Step-by-step explanation:

Who applied algebra to astronomy?
A. Brahmagupta
B. Diophantus' Arithmetica
C. Aryabhatt
D. Hermann Grassman

Answers

Answer:

brahmagupta ..........

Answer:

A. Brahmagupta

Step-by-step explanation:

It is the "Correct Answer"

Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 feet from her If both are on level ground, how long is the kite string in feet?

Answers

Answer:

25 feet

Step-by-step explanation:

Given that Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 feet from her If both are on level ground, how long is the kite string in feet?

To calculate the length of the kite string, we will apply pythagorean theorem.

Length = sqrt ( 20^2 + 15^2 )

Length = sqrt ( 400 + 225 )

Length = sqrt ( 625 )

Length = 25 feet.

Therefore, the length of the kite string is 25 feet.

heyyyyyyyyyyyy helpppp

Answers

Answer:

its b

Step-by-step explanation:

Answer: the answer B sorry if its wrong

Step-by-step explanation: have a nice day buddy

Between what two consecutive integers is √38.4?

Answers

Answer:

Step-by-step explanation:

6²=36

7²=49

36<38.4<49

between 6 and 7

Answer:

between 6 and 7

Step-by-step explanation:

Kendra walked diagonally across a rectangular field that is 45 m by 65 m. To the nearest tenth of a meter, how far did she walk?

Answers

Answer:

?

Step-by-step explanation:

Before​ work, Penny spends 1/2 hour getting​ showered/dressed, 1/4 hour eating​ breakfast, and 1/12 hour making lunch. What fraction of an hour does she spend doing these​ activities?

Answers

Answer:

30 minutes getting showered/ dressed

15 minutes eating

5 minutes making lunch

Step-by-step explanation:

What is the equation of the line that passes through the points (15,9) and (-2, 9)?
Oy - 9
11
Oy ----x+ 9
Oy=-17
Oy - 6x + 11

Answers

Answer:

c

Step-by-step explanation:

chuck bought 19 movie tickets for $174.50. The adult tickets cost $11.50 each and child tickets cost $7.50 each. How many child tickets did he purchase?

Answers

Answer: 11 child tickets
Explanation: (look at picture)
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