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

if e=2, f=3, and g=4, then 5egg equals

Answers

Answer:

5efg equals 120

Step-by-step explanation:

2 * 3 * 4 * 5 = 6 * 4 * 5 = 30 * 4 = 120.

hannah is making jewlery for an Arts and Crafts show. She would like to make at least $120 in sales. She only made 40 pieces of jewlery. The earrings that she is selling cost $3 and the necklaces $6.

Answers

Answer:

she could make 40 earrings or 20 necklaces

Step-by-step explanation:

- 9b = - 45
i need help asap pls

Answers

Answer:

b=5

Step-by-step explanation:

Answer:

b=5

Step-by-step explanation:

Not copying....

have a nice day


The Martin family has three children. One is in elementary school, one is in middle school, and one is in high school. They are moving and would like to
live at a location that is the same distance from each of the three schools. They have mapped the schools in a coordinate plane. Determine the
coordinates of the best location that will be equidistant from all three schools.

Answers

Answer:

Answer is 1/2,-1 1/2

Step-by-step explanation:

The coordinates of the best location that will be equidistant from all three schools is; (-0.085, -2.232).

What is circumcenter of a triangle?

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter.

The coordinates of the 3 points that form a triangle attached in the image are;

A(-4, -2), B(0, 3), C(5, -1)

Since the distances to the circumcenter O from the vertices are all equal.

Then; AO = BO = CO.

From the first equality, we have AO² = BO²

(x + 4)² + (y + 2)² = (x - 0)² + (y - 3)²

⇒ 8x + 16 + 4y + 16 = – 6y + 9

⇒ 8x + 10y = -23   ---(1)

​Similarly, from the second equality, we have BO² = CO²

(x - 0)² + (y - 3)² = (x - 5)² + (y + 1)²

⇒ – 6y + 9 = -10x + 25 + 2y + 1

⇒ 10x - 8y = 17   ----(2)

Solving eq 1 and 2 simultaneously gives;

x = -0.085

y = -2.232

Therefore, the coordinates of the best location that will be equidistant from all three schools is; (-0.085, -2.232).

Learn more about the circumcenter of a triangle here:

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What is the degree of the polynomial below?
4x2+3x2 +6x+5
A. 3
B. 0
C. 1
O D. 2

Answers

Step-by-step explanation:

What is the total magnification if we using objective lens 4x and our eyepiece (ocular) lens is 10x

40x

100x

400x

1000x

Answer:

Simplify: (4x2 - 2x) - (-5x2 - 8x).

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Step-by-step explanation:

Hope it help

Mar, me as brainliest

12x - 2/3 = 83 1/3

12x=?

x=?

Answers

Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

can someone help please?

Answers

Answer:

a.  90 degrees (given)

b. 270 degrees (360-90)

c. 16π  (Circumference= diameter * π, diameter= 2r= 2(8)=16, so c= 16*π)

d. 4π (That section is a semicircle, so length should be 1/4 the circumference)

e. 12π (This section is 3/4 the circumference)

f. 64π (Area= πr^2, and r^2= 8^2= 64, so 64π)

g. 16π (That section is 1/4 the area)

I'll give brainlliest to whoever anwsers

Answers

Answer:

Step-by-step explanation:

booom

A closed rectangular tank measures 5 meters by 10 meters by 6 meters. What is the surface area of the tank?

Answers

Answer:

280 square units

Step-by-step explanation:

Using the given dimensions {5, 6, 10}, find the area of the front, top and end of the box:  5*6 + 5*10 + 6*10 = 140 square units.

The back of the box is the same size and shape as the front, the bottom the same as the top, and the other end the same as the first end.  Thus, multiply 140 square units by 2 to get the total surface area of the tank:

It is 280 square units.

please help
step by step

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

3/8 x 4/9 = top times top and bottom times bottom

12/72 = 1/6

Answer:

1/6

Step-by-step explanation:

3x4=12

8x9=72

12 divided by 6 equals 2

72 divided by 6 equals 12

2 divided by 2 equals 1

12 divided by 2 equals 6

Final simplififed answer is 1/6.

Hope this helps you out.

What's an example from history where two nations fought over territory they believed was rightfully theirs?

Answers

Answer:

Native Americans and the British.

Step-by-step explanation:

The Native Americans were in North America first but the British/English thought they deserved the land and the two fought over it.

please hgelp me my mom

Answers

Answer:

D

Step-by-step explanation:

What is the slope of y =4x -3

Answers

4 because y=mx+b and m is the slope so m=4

(x/4) < -1.5 why not pls answer

Answers

Answer:

x < -6

Step-by-step explanation:

Evaluate the expression. 5y+x/z

Answers

Answer:

5yz+x/z

Step-by-step explanation:

Find the missing value pls help need an answer ASAP

Answers

Answer:

-7

Step-by-step explanation:

-7 + 5 = -2

Can u mark me brainly pleasee???

Answer:

-7

Step-by-step explanation:

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A trainer uses 0.75 roll of medical tape on each soccer player. If there are 15 players on the team and 80% get taped up, how many rolls of tape does the trainer need

Answers

Answer:

The answer is 9 rolls.

Step-by-step explanation:

you do 80% of 15. Then you have the number of players that got taped. Now you multiply 0.75 by 12 players.

Please mark me brainliest,5stars, and a thanks! Have a good day!

9 rolls is the answer

everyone if you can help that would be great

Answers

Answer:

the answer is 2.87

Step-by-step explanation:

use the pythagorean theorem

2^2+b^2=4^2

that goes to b= 3.5

for the triangle with x you also need to use the pythagorean theorem

[tex]2^{2}[/tex]+[tex]x^{2}[/tex]=[tex]3.5^{2}[/tex]

4+[tex]x^{2}[/tex]=12.25

subtract 4 on both sides

[tex]x^{2}[/tex]=8.25

[tex]\sqrt{x}[/tex]=[tex]\sqrt{8.25}[/tex]

x=2.87

Rewrite 64^18z^12 as a power of a product.

Answers

The expression is written as 2⁶w¹⁸z¹².

What is Exponential Function?

The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given equation

64w¹⁸z¹²

so factors of 64 = 2 x2 x 2 x2 x 2 x2

64 = 2⁶

the equation is 2⁶w¹⁸z¹²

Hence the value of equation is 2⁶w¹⁸z¹².

Learn more about Exponential Function;

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Sam bought a football jersey on sale for 40% off. He paid $30, and it was originally priced at $45 was he charged the correct amount

Answers

no, he should have paid $33

Answer:

No, because he is being charged more than what the discount is.

45/40=18 $18 $45-$18=$27 He should be charged $27.

HELPPP PlEASE !!!

Which equation best represents the function graphed above?

Answers

i don’t have my phone on me, but use an app called photo math and scan each equation. it should tell you what the graph is for each one, and see what one matches!

help anyone I don’t understand

Answers

Answer:

D. 71

Step-by-step explanation:

Plug 7 into f

(7)^2 + 2(7) + 8

then solve

49 + 14 + 8

      71

What set of ratio below is not equivalent to 3:4

Answers

Answer:

6

8

,

9

12

,

12

16

Step-by-step explanation:

Solve:
-4 + x = 6
A)-24
B)-10
C)-2
D)10

Answers

Answer:

x = 10 so D

Step-by-step explanation:

-4 + x = 6

add 4 both sides to get the x by itself

so 4 + 6 = 10

then the final answer is  x = 10

Answer:

You have a negative 4 being added to the variable. To solve you need to use the opposite operation (what is the opposite of addition?)

For example:

7 = -3 + h

Subtraction -3 from each side.

7 -(-3) = -3- (-3) + h

10 = h

Step-by-step explanation:

Maste
1) 2,000 pounds of sand is to be put into 100-pound bags. Each bag will sell
for $5.00. How much is the sand worth altogether?

Answers

Answer: 100$

Step-by-step explanation:

there are 20 bags because 2000 divided by 100 is 20 and 20 times five pounds is £100

_______divisible by both 2 and 5

Answers

Step-by-step explanation:

____2__divisible by both 2 and 5

HELP PLZ!
proerties of Transformations
In the pre-image of the parallelogram, the slope of AD is
--3 and the slope of BC is -3. The image is translated
down 7 units and then reflected over the y-axis,
The slope of A"D" is
The slope of B"C"is
What can you determine about the line segments A"D"
and B"C"?
A"
D"

Answers

Answer:

1... 3

2...3

3...parallel

Step-by-step explanation:

1. Find 10% of 20 1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.

Answers

10% of 12 is 1.2 and 10% of 20.1 is 2.01

Answer:

10% of 12 = 0.1 * 12 = 1.2

10% of 20 = 0.1 * 20 = 2

A B C D Which triangles are similar?​

Answers

Answer:

DBA ok you got that maybe

What is the range of the relation in the table below ???

Answers

Answer:

range : {0, 2, 4}

Step-by-step explanation:

write down the same range once.

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