Find a formula for the quadratic function whose graph has vertex (2,4) and y-intercept -3.

Answers

Answer 1

Answer:

[tex]y=-\frac{7}{4}x^2+7x-3\\[/tex]

Step-by-step explanation:

y - 4 = C(x - 2)²

y-intercept = -3, so x = 0, y = -3

-3 - 4 = C(2)²

so C = -7/4

[tex]y = -\frac{7}{4}(x-2)^2+4=-\frac{7}{4}(x^2-4x+4)+4=-\frac{7}{4}x^2+7x-7+4\\y=-\frac{7}{4}x^2+7x-3\\[/tex]


Related Questions

Simplify the radical - 160

Answers


160
simplifies to 4

10
.

Hello please help me geometry :)

Answers

Answer:

[tex]the \: hieght \: of \: the \: trapazium \: \\ is \: 2.5 \: inches[/tex]

4/5 + 3 1/10 ASAP plsssss

Answers

Answer:

3 9/10

Step-by-step explanation: change 4/5 to 8/10 and then add. pls give brainiest thanks :D

Ordered pair for 3x + 5y = 2

9x + 11y = 14

Answers

Answer:

y = -3/5x +2   y = -9/11 + 14

Step-by-step explanation:

3x + 5y = 2(subtract 3x on both sides)

5y = -3x +2(divide by 5)

y = -3/5x + 2

9x + 11y = 14 (subtract 9x on both sides)

11y = -9x + 14 (divide by 11)

y = -9/11x + 14

Answer:

Step-by-step explanation:

-9x - 15y = -6

9x + 11y = 14

-4y = 8

y = -2

3x + 5(-2) = 2

3x - 10 = 2

3x = 12

x = 4

(4, -2)

a mass of 37 and a kinetic energy of 925 make a graph to show details

Answers

Answer:

25

Step-by-step explanation:

Power-to-weight ratio is a calculation commonly applied to engines and mobile power sources to enable the comparison of one unit or design to another.

IS
75
how much
in kilometers)

Answers

Answer: 46.6 miles

Step-by-step explanation:


Consider this quadratic equation.
x + 2x + 7 = 21
The number of positive solutions to this equation is
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is

Answers

Answer:

Rounded to the nearest hundredth, is X=4.67

Step-by-step explanation:

A bus makes a stop at 2:30, letting off 13 people and letting on 4. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:

The original number of passengers on the bus decreased by 10 after the second stop

Now, at 2:30:

15 passengers got off and 9 got on.

This means that:

number of passengers = x - 15 + 9

number of passengers = x -6

10 minutes later:

4 passengers got off the bus

This means that:

number of passengers = (x-6) - 4

number of passengers = x - 10

By comparing, we can note that:

The original number of passengers on the bus decreased by 10 after the second stop

Rename the fraction 1/4 using the least common denominator,12

Answers

Answer:

3/12

Step-by-step explanation:
to rename the fraction with the common denominator of 12, u have to multiply 1/4 by 3/3 to get 3/12. You can check ur answer by simplifying your answer. 3/12=1/4

Answer:

3/12

Step-by-step explanation:

12÷4=3 so I would be 3/12

a teacher wants to paint a wall wit a door in a classroim. the entire wall is a 12 ft by 10 ft rectangle, and the foor is a 3ft by 8ft rectangle

Answers

Answer:

The answer is 144 square feet.

Step-by-step explanation:

if you are trying to find the sum of the room, then you multiply 10 and 12 which equals 120 then you multiply 8 and 3 and that equals 24, then you add your two answers (120+24) and that equals 144 square feet.

Please help me solve this basic log equation
Log3(1)=x

SOMEONE SOLVE IT PLEASE

Answers

Answer:

0

Step-by-step explanation:

An internet company charges $12 per gigabyte of data plus a monthly service charge of $18. Last month, Niki's bill was $78. Write an equation to find how many gigabytes of data Niki used last month.

Let x represent the number of gigabytes of data Niki used.

Multiply the number of gigabytes by the cost per gigabyte. Add the service charge and set it equal to the price of the bill.

Answers

Answer:

12x+18=78

Step-by-step explanation:

12x+18=78

     -18   -18

12x=60

x=5

Solve the following equation for b.
2 = Q + f/b

Answers

Answer:

b=[tex]\frac{f}{2-Q}[/tex]

Step-by-step explanation:

to prepare for a party, Mark buys a small bunch of balloons for $6 and gift bags that cost $5.15 each. he spends a total of $72.95 on the balloons and a gift bag for each person he invited to his party- what is the number of person he invited?

Answers

Answer:

p=13

Step-by-step explanation:

let p = people

72.95=5.15p+6

-6

56.95=5.15

/5.15

p=13

Answer:

Equation:5.14x+6=72.95

Answer:13 people

Step-by-step explanation:

5.15x+6=72.95

-6 on both sides

5.15x=72.95

divide by 5.15 on both sides

x=13 people

Lori ran 4.63 miles last weekend and 5.876 miles this weekend. How many miles did she run in all?

Answers

Answer:

10.506

Step-by-step explanation:

its just adding and math lol- if u dont trust it look it at a calculator- hope this helped!!<3

he ran 6,339 in total

these numbers form an addition and subtraction fact family 6,7,13 choose the fact family formed by these numbers a 7+13=20 13+7=20 13-13=0 13-0=13 b 7+0=7 6+0=6 13-0=13 13-13=0 c 7+6=13 6+7=13 13-6=7 13-7=6 c 7+6=13 13=7+6 13-6=7 7=13-6 is it abc or d​

Answers

C) 7+6=13 6+7=13 13-6=7 13-7=6

Explaining Equivalent equations
What are equivalent equations? How do you find them?
Write a few sentences describing them.

Answers

Answer:

Equivalent equations are equations that have exactly the same solution. To find equivalent equations, it is best to solve them individually to find the solutions. The ones with the same solution in the end are considered equivalent equations.

Answer:

Sample Response: Equivalent equations have the same solution. You can create equivalent equations by performing the same operations on each side of the equation. You can check for equivalence by finding the solution for each equation.

Step-by-step explanation:

What is the equation of a line that passes through the point(0, 3) and has a slope of 2

Answers

Answer:

the equation of a line that passes through the point(0,3) answer is 1.5

Step-by-step explanation:

To solve the system of equations below, Chen isolated x2 in the first equation
and then substituted it into the second equation. What was the resulting
equation?
=
x2 + y2 = 16
² y²

4
= 1
25
O A. 16.my -
ОА
-
_y²
25
O B. Y? -16 2.1
4
25
O
O c. *? - 16-y2.1
H
4
25
OD. - 16 - 1
2 2
y? -
25
=

Answers

Answer:

50

Step-by-step explanation:

because chen isolated x2

What is the domain of this graph
put in final form (only the awnser)

Answers

from 2 to infinity, so like x (greater than or equal to 2) use the symbol that’s like > but with a line under

If 106 people attend a concert and tickets for adults cost four dollars what ticket for a children cost $3.75 and total receipt for the concert was $414 how much of each went to the concert

Answers

Answer:

A = 66 adults, C = 40 children

Step-by-step explanation:

We can set up a system of equations to find how many adults and how many children attended the concert, with A representing the adults and C representing the children:

[tex]A + C = 106\\4A+3.75C=414[/tex]

We can use the elimination method and multiply everything in the first equation by -4

[tex]-4(A+C=106)\\-4A-4C=-424\\4A+3.75C=414[/tex]

Once we add the values together, we're left with:

[tex]-0.25C = -10[/tex], where solving for C gives us C = 40

We can plug C into the first equation to find A:  [tex]A+40=106[/tex], where solving for A gives us A = 66

i will give brainliest

Answers

Answer:

x =< 5

Step-by-step explanation:

We have to solve 2x + 3 <= 13

2x + 3 <= 13

=> 2x =< 13 - 3

=> 2x =< 10

=> x =< 5

Answer:

x > 8

Step-by-step explanation:

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+3-3 < -13-3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x < -16[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-2x\right)\left(-1\right) > \left(-16\right)\left(-1\right)[/tex]

[tex]\;Simplify[/tex]

[tex]2x > 16[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2} > \frac{16}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x > 8[/tex]

[RevyBreeze]

27. When can you say that the event is independent?

A. If the fact that A occurs does not affect the probability of B occurring.
B. If the fact that A occurs affect the probability of B occurring.
C. If the fact that events A and B can occur at the same time.
D. If the fact that events A and B cannot occur at the same time.​

Answers

Answer:

A is the most appropriate answer.

Step-by-step explanation:

if the fact that A occurs does not affect the probability or possibility of B occurring.


What is the value of this expression when c= -4 and d= 10?

11 (3+2²)

Answers

i believe the answer is b

Dave bowers collects u.s gold coins. He has a collection of 47 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $670, how many of each denomination does he have?

Answers

670=10(a)+20(b)

47=a+b

a is amount of $10 coins=27

b is amount of $20 coins=20

6th grade math I mark as brainliest

Answers

Answer:8

8 and its D

Step-by-step explanation:

hope it helps let me know if im wrong

The answer is 8, but I think it’s A

The GCF of 12 and 28 is _____.

Answers

greatest common factor 12 and 28 is 4

The greatest common factor (GCF) of 12 and 28 is 4.

To find the GCF, you can determine the factors of both numbers and identify the greatest common factor they share.

As we know that a factor is a number that entirely divides another number.

To put it another way, any two integers that multiply to generate a result are factors of the result.

For 12, the factors are 1, 2, 3, 4, 6, and 12.

For 28, the factors are 1, 2, 4, 7, 14, and 28.

The common factors of 12 and 28 are 1, 2, and 4.

Among them, the greatest common factor is 4.

Therefore, the GCF of 12 and 28 is 4.

Learn more about the Greatest Common Factor here:

brainly.com/question/18905667

#SPJ6

give one pair of supplementary angles and one pair of vertical angles showing in the figure below ​

Answers

Answer:

vertical angle can be 2 and 3. anything opposite from eachother. supplementry angles equal to 180 degrees. like 2 and 4

Step-by-step explanation:

If i use elmer's glue for my fake nails will they stay

im at school Help

Answers

Answer:

Yes, you can use school glue. PVA white/Elmer's glue will work just fine. What is the best nail strengthener? Just don't use nail strengthener, it almost does the opposite of what you want.

Answer:

well they will stay but not as long as nail glue.

I think

3)
Solve the quadratic equation by taking square roots.
3x^2 – 8 = 12

Answers

Answer:

The answer is in the photo

Step-by-step explanation:

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