a quadratic function that fits the points (0,5) (2,3) (4,9)

Answers

Answer 1

Answer:

Step-by-step explanation:

y=ax^2+bx+c we are given point (0,5) so if x=0, y=c, so c=5. We have two other points

(2,3)(4,9) which gives us

4a+2b+5=3 and 16a+4b+5=9

Subtracting twice the first from the second

16a+4b+5-8a-4b-10=9-6

8a-5=3

8a=8, so a=1, so using 4a+2b+5=3 we get

4(1)+2b+5=3

2b+9=3

2b=-6

b=-3 so our quadratic is

y=x^2-3x+5


Related Questions

help!

vWhich of the following is 192 written as a mixed radical in simplest form:

Select one:
a. 45
b. 42
c. 83
d. 248

Answers

if there is supposed to be a root sign it’s C.

help please! find the value of y​

Answers

Answer:

Step-by-step explanation:

I need to solve for x ​

Answers

Answer:

dkdksdldlxlxzkzkdisi

Answer:

Try doing this.

Step-by-step explanation:

If you know the full length of the shape, like a triangle is 180 degrees, you need to take that full length, minus 120, 97, 130, 150, and 90, to get x.

Will Give Brainliest If You Solve This For Me

Answers

Answer:

for the first equation make it y=2x+2

the second y=2x+-6

Step-by-step explanation:

Answer:

The two equations are y = - [tex]\frac{1}{2}[/tex] x + 1 and y = [tex]\frac{1}{2}[/tex]x + 3

Step-by-step explanation:

x + 2y = 2

2y = - x + 2

y = - [tex]\frac{1}{2}[/tex] x +1

x - 2y = - 6

-2y = - x - 6

2y = x + 6

y = [tex]\frac{1}{2}[/tex] x + 3

Alonzo has completed 44 Deliveries so far this week he needs to make 55 deliveries for the week what percentage of his delivery has Alonzo completed?80%

Answers

Answer:

80%

Step-by-step explanation:

Find 44/55 and multiply the result by 100%:  (0.8)(100%) = 80% (completed)

What’s the answer for -4(w+1)=-24

Answers

Answer: w=5

Step-by-step explanation:

To
357 is what percent of 420?

Answers

Answer:

85

Percentage Calculator: 357 is what percent of 420? = 85.

Answer:

85%

Step-by-step explanation:

357/420 reduces to 17/20 if you divide the numerator and denominator by 21 which is equivalent to .85

Kayla is trying to run a certain number of miles by the end of the month. If Kayla is 90% of the way to achieving her goal and she has already run 27 miles, how many miles is she trying to run by the end of the month?

Answers

Answer:

30

Step-by-step explanation:

The total number of miles she runs at the end of the month or Kayla's target of the month is 30 miles.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Let's suppose that Kayla's target is x miles.

She has done 90% of x as 27 miles.

90% of x = 0.90x

0.90x = 27

x = 27/0.90 = 30 miles

Hence "The total number of miles she runs at the end of the month or Kayla's target of the month is 30 miles".

For more about the percentage,

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2000x 41- 3026555987623

Answers

Answer:

-3.026555905623

Step-by-step explanation:

.....

Can someone help me? I don’t have much time.

According to the synthetic division below, which of the following statements are true? Check all that apply.

Answers

I'm pretty sure it's D and E...but if I'm wrong sorry.

Find the slope and initial value of the graph below. Then write the equation of the line.

1. What is the initial value (y-intercept)?

2. What is the slope?

3. Write the equation of the line.

Answers

Y-intercept is (0,2) bc that’s where the line hits the y-axis.(the up and down line)
The slope is 1/2 because you go up one over two coordinate to get to the next dot.
The equation is y=Mx+b
M is the slope
X is the amount of times you use the slope
B is the initial value
Y=1/2x+2

12+5/3b+11-18=20 pls awnser fast

Answers

Answer:

b=9

Step-by-step explanation:

Hope this Helped you out

B should = 9, just like the person before me said

You don't need to solve it, just write the equations

Answers

Answer:

5,640/15=y

y•15=5,640

try to divide hope that helps:)

during her first six months, susie gained 25% more than her birth weight. if she gained 2 1/2 pounds during this period, how much did she weigh at birth?

Answers

Answer:

the answer is

25% = 2.5 pounds

25 x 4 = 100%

2.5 x 4 = 10 pounds

Step-by-step explanation:

5x+8=2x -13 ?
i need help please

Answers

Answer:

x=-7

Step-by-step explanation:

Alrighty. 5x+8=2x-13. Lets do -2x on both sides. We'll get 3x+8=-13. Then lets subtract 8 from both sides. We'll get 3x=-21. Divide by 3 and we'll get x=-7. Hope that makes sense.

Answer:

i think the answer is 7

Step-by-step explanation:

Tony needs one gallon of orange juice to make punch for a party. Gallons of orange juice cost $3.99 each. Quarts of orange juice
cost $1.25 each. Pints of orange juice cost $0.65 each. Cups of orange juice cost $0.20 each. Which of these is the best buy for a
gallon?
A-the cups
B-the pints
C-the quarts
D-the gallon

Answers

Answer

C because 2 quarts make's one gallon

Step-by-step explanation:

how to prove triangles are congruent

Answers

Answer:

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

by four method

Step-by-step explanation:

1st by AAA

2nd by AA

3rd by SSS

4th by SAS

Which ordered pair is a solution of the equation?
y = -2x - 5
A (1,7)
B (2,-7)
C Both

Answers

Answer:

A

Step-by-step explanation:

-7=-2(1) -5

1=x

7=y

Answer:

None

Step-by-step explanation:

I think there is another answer option for none.  

-2(1) - 5 = -7

-2(-2) - 5 = -9

Its a if the 7 is -7

help pleaseeeee!!!!! i stg if no one answers correctly im gonna have another mental breakdown

Answers

Answer:

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

Step-by-step explanation:

To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.

given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴

First, lets arrange like terms together. Put the terms with the same exponent together.

2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now combine the terms with the same exponent by subtracting 5x³ from 2x³.

-3x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now let's arrange the terms from increasing to decreasing powers/exponents.

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

This is your equation in standard form.

Hope this helps!

Select the expression equivalent to (4.8x−7)+(−3.8+1.2x)

Answers

Answer:

The answer is 6x−10.8 simplified

Step-by-step explanation:

Someone help with this please

Answers

The Answer is B. I hope this helped.

п
What is the value of p in the proportion below?
20
Б
20
р
12
2
10
Оооо
40
72

Answers

Answer:

p = 40

Step-by-step explanation:

20/6 = p/12

20 × 12 = 6 × p

240 = 6p

p = 240/6

p = 40

9 inches of rain in 72 hours as a unit rate.

Answers

Answer:

.125 :)

Step-by-step explanation:

How many apples, each of which weighs 2 ounces, are needed to balance three 2-pound weights? Do this problem carefully.​

Answers

Answer:

48

Step-by-step explanation:

3x32=96

96/2=48

Write the equation of a line that is parallel to y= -7x+5 and passes through the point (0,6)

Answers

Answer:

The answer is y = - 7x + 6

Step-by-step explanation:

A parallel line will have the same slope and since the point that is given is a y intercept, you just plug in -7x + 6 to get your parallel equation

HELP QUICK PLS!!!
The nutrition facts label on a box of crackers shows that there are 240 milligrams of sodium in every 36 crackers. You eat 15 crackers. How much sodium do you consume?

Answers

Answer:

The answer is 1

What is the greatest common factor of 42 and 50?

Answers

Answer:

2 is the gcf of 42 and 50

The greatest common factor of 42 and 50 is: 2

How to find the Greatest common factor?

The greatest common factor, the name implies, is the greatest among all common factors among the quantities.

We have to factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves) and collect as many common factors as we could.

Those will together compose GCF.

Take out the factors of the numbers given:

42: 1, 2, 3, 6, 7, 14, 21, 42

50: 1, 2, 5, 10, 25, 50

The common numbers between the two are 1 and 2, but the greatest number is 2, which becomes the greatest common factor.

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Help me please number 5

Answers

Answer:

a. Equations:

Sammy's Spa: y = 350Shape Up!: y = 20x + 150

b. The graph is attached

c. When number of exercises is no more than 10. This point is the intersection of the lines (10, 350)

please help me I will mark brainiest

Answers

Answer:

hope this helps

Step-by-step explanation:

Page 5. 5, 6, 7, 8

Page 6. 12.5

Page 7. 4(3x)

Page 8. 0, 4

i don't know number 7

Answer:

9, 10

12.5

4 + 3x

0, 4

Step-by-step explanation:

5. This just looks to be some simple multiplication so lets work this out 1 by 1 .

Plugging each answer possible into m this is what we get :

8 x 5 = 40

8 x 6 = 48

8 x 7 = 56

8 x 8 = 64

8 x 9 = 72

8 x 10 = 80

Considering these answers lets find which ones are GREATER than 67.

That would be :

72, 80

So your answers would be :

9, 10

6. Alright so this one is asking you what the value of q would be in the equation :

0.5q = 6.25

So to find q we need to see that whatever q is will be multiplied by 0.5. And this answer will be equal to 6.25 due to the = sign. So an easy way of doing this is actually just finding what 6.25 x 2 is. Since q x 0.5 will equal to 6.25, finding 6.25 x 2 is just flipping the equation in a way.

So doing this we get 12.5 which is the very top answer of that question.

8. Alright so it looks like this question is just meant to make your brain turn into a raisin when you read it, but it isn't that hard.

Lets lay everything out :

Joe is 4 more than triple the age of luke.

x represents lukes age (x = Lukes age)

And we are finding the expression that shows joes age.

Alright so looking at the problem lets look at the key word MORE. More means addition in the math world usually so lets go off that. Lucky for you that's all you need cause you only have one addition answer here but lets still go over it why don't we.

4 + 3x

4 represents the "4 MORE than lukes age"

Then we have 3. The 3 represents the "triple the age of luke"

And finally x represents Lukes age.

So if we do 3 multiplied by x (Lukes age) we get triple lukes age :

4 + (Triple lukes age)

So now we just add the 4 and it would be in theory :

Triple Lukes age + 4 = Joes age. And that's all they want.

And then finally we have 7.

This is one fairly simple just another one meant to confused you a bit it seems.

You're basically taking the variable which is q and adding +2 to it and checking to see if the sum of that is less than 7.

So lets do that with the answers given

We will just input the number where q is in the equation and then check! :

2 + 0 < 7

2 plus 0 is 2, and is less than 7!

2 + 4 < 7

2 plus 4 is 6, and is less than 7!

2 + 5 < 7

2 plus 5 is 7. It would be correct if there was an equal sign or less than or equal to sign. But there is not so this is incorrect.

2 + 7 < 7

2 plus 7 is 9, which is greater than 7.

2 + 9 < 7

2 plus 9 is 11, which is greater than 7.

So lets look at what we plugged in that is less than (<) 7 and those are our answers! :

0 , 4

The others are either equal or greater than 7 which is not what we are looking for. So the only two correct answers here are 0, 4.

I hope this helps you! If you have any questions feel free to ask them in the comments and I will help you the best I can! :)

To find the population of a city next year, we multiply its current population by 0.987. By what percent does the population decrease per year?

Answers

Answer:

1.3%

Step-by-step explanation:

If we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol. The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages.

Suppose x₁ is the population of the year 1. As a result of the given condition the population of a city next year,x₂ is

x₂=0.987 x₁

The decrement in the percentage is found by the following formula,

% r = x₁-x₂/x₂

% r =x₁-0.987x₁/0.987x₁

% r =1.3 %

Thus, if we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

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