Write a quadratic function in vertex form whose graph has the vertex ( -5. - 1) and passes through the point (-2.2).

Answers

Answer 1

Answer:

[tex](\frac{1}{3})(x+5)^2-1[/tex]

Step-by-step explanation:

So first let's write a graph in vertex form with a vertex of (-5, -1)

We get

a(x+5)²-1

We now need to determine a

we know that when x= -2 y=2 which means we have

a(-2+5)²-1=2

Solve for a

a(3)²=3

9a=3

a=3/9

a=1/3

Now that we know what a is equal to we can write our equation

[tex](\frac{1}{3})(x+5)^2-1[/tex]


Related Questions

PLEASE HELP ITS TIMED!!!
Which is greater -1.9 or -2 1/9

Answers

Answer:

-1.9

Step-by-step explanation:

Tom has three times as many action figures as Jerry. If Tom has 27 action figures, how many does Jerry have? Write an equation that represents the scenario. Then solve.

Answers

Answer:

Jerry has 9 action figures.

Step-by-step explanation:

Since Tom has three times as many action figures as Jerry, Tom has 3x action figures, where x is the number of action figures that Jerry has.

Since Tom has 27 action figures, we can say that 3x=27.

3x=27

x=9

In a soup kitchen, 22 pounds of rice was used during the lunch. If 110 people came to have lunch, about how many pounds of rice was used by each person?

Answers

Answer:

0.2 pounds of rice

Step-by-step explanation:

To find how much rice was used by each person, divide 22 by 110

22/110

= 0.2

So, each person used 0.2 pounds of rice

The cost to rent a bike is $28 for the first day plus $2 for each day after that. What is the cost of renting the bike for 8 days?

Answers

Answer:

Step-by-step explanation:

28x2 then dived it by 8 and then   thts ur answer

Solve this expression using the distributive property: 5 (2x + 7). *
plz help fast

Answers

Answer:

10x + 35

Step-by-step explanation:

suppose potatoes cost $0.99 per pound. complete the function rule c=? to describe the relationships between the total cost c and the number of pounds of potatoes p you buy.

Answers

Answer:

c=p*0.99

you gonna multiply the amt of patatoes by the cost of one to get the total like if you were buying 5 you would multiply  5 by 99 to get the total    

P = $0.99

C = [tex]P * x[/tex]

[Note: x is how many pounds of potatoes you buy.]

Hope this helped, I'm not too good with relations.

Anica volunteers to fold T-shirts she fold 8 T-shirts every 6 minutes how many t-shirts will anica make in 45 minutes

Answers

Answer:

I think 60

Step-by-step explanation:

I divided 45 by 6, and then multiplied that answer by 8. I hope this helps :) (Tell me if I am wrong)

The Answer Should Be 5 Minutes!

I Hope This Helps You!!!

Share 20 into the ratio 1:3

Answers

Answer:

5:15 :))

Step-by-step explanation:

you would do 1+3(=4) and then divide 20 by 4(=5)

5×1=5

5×3=15

A cookie recipe has 3 eggs for
every 1 dozen cookies.

How many eggs are in 3 dozen cookies?

Answers

Answer:

9 eggs

Step-by-step explanation:

1 dozen = 3 eggs

2 dozens = 6 eggs

3 dozens = 9 eggs

Solve please....................

Answers

I think -3.50 but not sure

Answer:

-5/2÷5/7

change to multiplication

-5/2×7/5

reduce the numbers of the greatest common factor of 5

-1/2×7

calculate the product

-1/2×7

the answer is -7/2

if I'm wrong sorry I used a math app to find the answer

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17

Step-by-step explanation:

The answer is for your question is 17

what is the smallest integer greater than the square root of 85?

Answers

Answer:

the answer is 9.2

Step-by-step explanation:

The radical value √(85) lies between 81 and 100. So, the smallest integer greater than the square root of 85 is 10.

Radical:

Important information:

The given radical value is [tex]\sqrt{85}[/tex].

The perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

It is clear that,[tex]81<85<100[/tex]

Taking square root on each side, we get

[tex]\sqrt{81}<\sqrt{85}<\sqrt{100}[/tex]

[tex]9<\sqrt{85}<10[/tex]

The value [tex]\sqrt{85}[/tex] lies between 9 and 10.

Therefore, the smallest integer greater than the radical value square root of 85 is 10.

Find out more about 'Radical' here:

https://brainly.com/question/8243233

Renee is creating a diagram to prove that a certain triangle is a right triangle. In her diagram, she uses three white quadrilaterals that are squares. Which diagram could be the one that Renee is creating

Answers

Answer:

Option D

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

A right angled triangle is a triangle in which one of the angles is 90°. The side opposite the 90° is known as the hypotenuse while the remaining sides is known as the leg. Let us assume a right triangle with legs of a, b and a hypotenuse of c. Then using Pythagoras theorem:

c² = a² + b²

From the options, option d is the correct option.

For option D, the hypotenuse is c and one leg is a. Let x represent the second leg. Hence:

c² = a² + x²

x² = c² - a²

x = √(c² - a²)

Therefore the other leg would be √(c² - a²)

Find the slope
m for this graph

Answers

AYO there isn’t a graph you didn’t put a graph in

Evaluate the expression for p=3.

4p=

Answers

Answer:

12

Step-by-step explan

Answer:

12

subsitute 3 for p and multiply :)

3 x 4 = 12

elsa is designing a commercial jet. she drew a model of her design using the scale shown below. According to her design what will be the length and width in feet of the actual jet

Answers

Answer:

55

Step-by-step explanation:

What is 4 divided by 1/10?

Answers

4 divided by 1/10 is 40 :)

PLEASE HELP I WILL MARK YOU BRAINLIEST​

Answers

Answer:

Is A or B. Success the work matematic.

There are 14 girls and 12 boys in a class. What is the ratio of girls to students?

Answers

Answer:

7:13

Step-by-step explanation:

There are 14 girls and 12 boys, so there are 26 students in total. Since we are looking for the ratio of girls to students, the ratio will be 14:26. To simplify it, we will divide 14 and 26 by their greatest common factor: 2. We will get the ratio of 7:13.

I hope this helped! :)

Elizabeth earns $8 per hour. She works 40 hours each week. How much money does she earn in 6 weeks?

Answers

Answer:

40x8 is 320. 320x6 is 1,920 that's your answer

Sara Poured 3/4 of the juice from a 2-liter bottle while serving guests at a party. How much juice, in liters, is still left in the bottle?

Answers

Answer:

1 1/4 of a liter

Step-by-step explanation:

Which two whole numbers does 27/4 lie between?

Answers

Answer:

6 and 7

Step-by-step explanation:

27 divided by 4 equals 6.75 and that number is in between 6 and 7

6 and 7 I think should be the answer

Find the x- and y-intercepts of the graph of the linear equation −x+8y=4.

Answers

x intercept: (-4,0)
y intercept: (0,1/2)

x-intercept is when y = 0
-x+8(0)=4
-x+0=4
x=-4

y-intercept is when x = 0
-(0)+8y=4
8y=4
y=4/8=1/2

What is the constant of proportionality? What does it represent?

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. It can represent a number of things such as; increase or decrease in a set of numbers, a (x,y) point on a graph, or it can just be shown in a table to show rate change.

5470
Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minutes.
Machine B makes 16 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.

Answers

Answer:  1144

Step-by-step explanation:

Given: Machine A makes 7 parts every 10 minutes.

i.e. it makes [tex]\dfrac{7}{10}[/tex] parts in 1 minute.

Machine B makes 16 parts every 15 minutes.

i.e. it makes [tex]\dfrac{16}{15}[/tex] parts in 1 minute.

On Monday,

machine A makes parts for 12 hours(720 minutes).    [1 hour = 60  minutes, 12 hours = 12 x 6 = 720 minutes]

i.e. Total parts made = [tex]\dfrac{7}{10}\times720[/tex]

i.e. Total parts made = 504

machine B makes parts for 10 hours(=60x 10=600 minutes)

i.e. Total parts made = [tex]\dfrac{16}{15}\times600[/tex]

i.e. Total parts made = 640

Total parts made by both machines = 504+640 =1144

Hence, the total number of parts made by the two machines on Monday=1144.

What is the name of the parent function for f(x)=2 x-1

Answers

Answer:

Linear Function

Step-by-step explanation:

Any equeation that comes in the form mx + b is a linear function

Briley has 347 marbles. Joey has 4 times as many as Briley. Carson has 799 fewer than Joey. How many marbles does Carson have?

Can somebody help me thank you? Show work please

Answers

Answer:

697 marbles

Step-by-step explanation:

We know:

Briley- 374 marbles

Joey- 374*4

Carson- (374*4)-799

Solve:

374*4= 1496 (This is how many Joey has)

1496-799= 697 (This is how many Carson has)

Hope this helps!

7x+2=-54


Brainliest answer

Answers

Answer:

Step-by-step explanation:

Subtract 2 on both sides

7x = -56

Divide 7 on both sides

x = -8

The population of a city can be modeled by the expression p(1.06)^t where t represents the number of years since 1990 and p represents the population in 1990. which statement is correct?

A. the year growth rate of the population is 0.06%
B. the yearly growth rate of the population is 0.6%
C. the yearly growth rate of the population is 1.06%
D. the yearly growth rate of the population is 6%

please respond if you actually know the answer :)

Answers

Answer:

D

Step-by-step explanation:

.06 =6%

The expression p(1.06)^t represents D. the yearly growth rate of the population is 6%

What is the population growth rate?

The country's yearly average rate of change in population size over a certain time period. It expresses the proportion, growth in population size, and the total population for that year.

Given, The population of a city can be modeled by the expression

[tex]p(1.06)^t[/tex] where t represents the number of years.

This describes the yearly growth rate of the population is 6%.

If in the previous year the population was 100 this year it'll be 106 and next year it'll be 106% of 106 which is 112.36.

learn more about population growth here :

https://brainly.com/question/18415071

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The average value of a function f on [a, b]
always lies between f(a) and f(b). Justify your answer.

Answers

Answer:

False

Step-by-step explanation:

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi]. sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

The average value of a function f on [a, b] always lies between f(a) and f(b) is false.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The average value of a function over an interval [a,b] is the total area over the length of the interval

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi].

sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

So the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

Hence,  the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

To learn more on Functions click:

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