Mathematics High School

1.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.

A. quadratic; y = –2.5x2

B. linear; y = 2.5x

C. exponential; y = 2.5x

D. quadratic; y = 2.5x2

1. Graph The Data In The Table. Which Kind Of Function Best Models The Data? Write An Equation To Model

Answers

Answer 1

Answer:

D. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

   = -2.5

   

  = 2.5

   

  = 7.5

2nd difference,

   = 5

   

  = 5

   

  = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

Related Questions

An airplane travels due east 75 miles and then due north 65 miles. How far is the airplane from its starting point? Round to the nearest hundredth of a mile.

I will mark brainliest

Answers

Answer:

99.25 miles

Step-by-step explanation:

The straight line from the starting point forms a hypotenuse of the right triangle with the legs 75 and 65 miles. Use Pythagorean.

The distance is:

[tex]\sqrt{75^2+65^2} = \sqrt{9850} = 99.25[/tex] miles (rounded)
P=75B=65

Using Pythagorean theorem

[tex]\\ \rm\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \rm\longmapsto H^2=75^2+65^2[/tex]

[tex]\\ \rm\longmapsto H^2=9850[/tex]

[tex]\\ \rm\longmapsto H=\sqrt{9850}[/tex]

[tex]\\ \rm\longmapsto H=99.247[/tex]

[tex]\\ \rm\longmapsto H=99.25miles[/tex]

Solve the system of linear questions by substitution

-3x + y = 1
4x + y = 8

Answers

Answer:

–3x + y =1

y= 1 +3x

4x + y =8 —> 4x + ( 1 + 3x ) = 8

7x + 1 = 8 —> 7x = 8 – 1 —> 7x = 7

x = 7/7 —> x = 1

y= 1 + 3x —> y = 1 + 3 (1) —> y = 1+ 3

y= 4

(x , y ) —> ( 1 , 4 )

I hope I helped you^_^

Which expression is equivalent to(2^3)^-5

Answers

Answer:

23

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

First you must multiply the 3 and the -5 because the -5 is out of the parenthases. then you will get 2^-15. You cannot have a negative exponent so you chance it to 1/2^15. Then simplify to get the answer

Find the value of y and RT if S is between RT. RT = 7y + 7, RS = 11, and ST = 5y + 6.​

Answers

Answer:

78  

Step-by-step explanation:

show your work

If P={2,3,4} and Q={1,5} find and represent it in set builder form​

Answers

Step-by-step explanation:

Solution,

P={2,3,4}

P={x:x ∈ N between 1 and 5}

Q={1,5}

Q={x:x ∈ factors of 5}

I hope you were asking for the same answer .

I hope it helped U

stay safe stay happy

Help please.
Simplify: 5i/ 3 + 2i

Answers

Answer:

10+15i/13

Step-by-step explanation:

This question is about complex numbers.

so,

in this type of questions we have to multiply this fraction by the conjugate of the denominator

   conjugate of the denominator is  3-2i

    1)    5i(3-2i)/(3+2i)(3-2i)

   

    2) 15i-10i^2/9-4i^2   ( we know that i^2 = -1 )

    3) 15i+10/9+4

 

     4) 15i+10  / 13

   

Find the unknown sizes of the angle​

Answers

Answer:

b=58 ( vertically opposite angle)

58+65+x=180 (Beaing straight angle)

123+x=180

x=180-123

:.x=57

65+b+c=180 (beaing straight angle)

65+58+c=180

123+c=180

c=180-123

c=57

a=65 (beaing vertically opposite angle)

answer

:.b=57

:.c=57

:.a=65

a＝65°
b＝58°
c＝180－65－58＝57°

Hope my answer helped u :)

Round your answer to the nearest hundredth​

Answers

Answer:

∠ B ≈ 64.62°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{7}[/tex] , then

∠ B = [tex]cos^{-1}[/tex] ([tex]\frac{3}{7}[/tex] ) ≈ 64.62° ( to the nearest hundredth )

276.4 rounded to the nearest tenth

Answers

Answer:

This is the nearest tenth already.

Answer:

276.4 rounded to the nearest tenth = 276.4

Step-by-step explanation:

round 276.4 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.

See the attachment for more examples

we are 5 red marbles a blue marbles and travel marbles in a bag separate rows are performed with the results and table what is the experiment property of randomly during green marble red pen blue 1228a what is the experiments of purposive random drawing green apple by does it sell it for profit of randomly drawn a green marble see what would you expect to happen if Mars has an experiment performed explain your reasoning using complete sentences ​

Answers

Answer:

elon musk

Step-by-step explanation:

he is a god on earth who drinks apples while eating tables in the milk ecosystem when hulk killed superman in washington-nigeria.

5.6x+1.5=0.8x+25.5

What is x?

Answers

Answer:

x = 5

Step-by-step explanation:

Let me know if you need the work

Y=DB-3 solve for d. These equations are still tricky for me.

Answers

add 3 to both sides, this gives y + 3 = db

then divide both sides by b, this gives (y + 3)/b = d

select the correct answer
which of these mappings is a function

Answers

Answer:

B. X

Step-by-step explanation:

the other functions have same x and different y which makes them non existant

B is the answer for this problem

In 2001 there were 2,900,000 pupils in a primary school and by 2004 number had increased to 4200000 what was the percentage increase give your answer to the nearest whole number​

Answers

Answer:

4.2M - 2.9M= 1300000

1.3/2.9x100= 44.83%

Answer:

59%

Step-by-step explanation:

2900000÷4200000× 100

How to write a book report plz help ​

Answers

Answer:

[tex]name \: of \: the \: book \\ auther \: of \: book \\about \: auther \: shortly \\ content \: of \: the \: book \\ comparison \: with \: any \: social \: issue \\ relevence \: of \: that \: in \: present \: days \\ important \: peoples \: thoughts \: about \: that \: book \\ ur \: opinion \: about \: it \\ i \: hopethis \: helps \: you[/tex]

Answer:

Depends on the level, you are writing!! Check the pictures below.

Step-by-step explanation:

Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?

Answers

Answer:

7/8

Step-by-step explanation:

1/4 + 5/8 = 2/8 + 5/8 = 7/8

= amount used for pepper and tomatoes

2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4

= total amount used

so

7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce

calculate the total surface area of the give cuboid​

Answers

320 centimeters squared
Given,
H= 4cm
L= 10cm
B= 8 cm

We know that,
Total Surface Area= Area of Roof + Area of four walls + Area of Floor

TSA= L*B + 4(L*H) + L*B
10*8 + 4(10*4) + 10*8
80 + 4(40) + 80
80+ 160 + 80
160 + 160

320 cm^2.

What fraction is 1.64 equal to?

Answers

Answer:

41/25

Step-by-step explanation:

1.64x100 = 164
1x100 = 100

164/4 =41
100/4 =25

Answer = 1 16/25

164 is greater than 100 therefor the problem can be simplified to a mixed fraction.

How to solve multi step equations

Answers

Answer:

x = –2

Step-by-step explanation:

– 6(1+4x) = –x +40

–6 – 24x = –x +40

24x –x = –6 –40

23x= – 46

x= – 46 / 23

x= – 2

I hope I helped you‌^_^

The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle. Juan’s triangle is shown. Write a numerical expression to describe the perimeter of Stephanie’s triangle.

Answers

The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]

Let the sides of Juan's triangle be x, y and z. So:

[tex]x = 5 \\ y = 8\\ z = 12[/tex]

The perimeter (J) of Juan's triangle is calculated by adding all sides.

So:

[tex]J =x +y +z[/tex]

This gives:

[tex]J =5 + 8 + 12[/tex]

[tex]J =25[/tex]

From the question, we understand that:

The perimeter (S) of Stephanie's triangle is half that of Juan.

This means that:

[tex]S = \frac 12J[/tex]

Substitute 25 for J

[tex]S = \frac 12 \times 25[/tex]

Hence, the numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]

Read more about perimeters at:

https://brainly.com/question/11957651

Betsy wanted to find out if people in her town would purchase lemonade from a lemonade stand set up on the corner of Sycamore and 10th Street Out of 2546 families in the town, she found 15
to survey by assigning a number to each family and using a random number generator to choose a number. Out of the families surveyed, 12 families said that they would purchase the lemonade,
and 3 families said that they would not.
A friend of hers said that her survey results would not be significant. Why would they not be?
AO The survey was only done in one town instead of in multiple towns.
B. Only 20% of the people surveyed would not purchase from a lemonade stand.
c. A random number generator could not choose the correct families to participate
D. Betsy did not survey enough people in her town.

Answers

Answer:

I think it is D

Step-by-step explanation:

8. Raul made four of his truck payments late and
was fined four late fees. The total change to his
savings from late fees was -$40. How much was
the one-time late fee?

Answers

a one time late fee is $10 we know this bc he had 4 late payments resulting in an extra $40 if you divide 40 by 4 you get 10

Solve - 4x + 2 > 26.

Answers

Answer:

x < -6

Step-by-step explanation:

-4x + 2 > 26

Subtract 2 from both sides

-4x > 24

Solve for x

x = 24/-4

x < -6

20x2 y(x2 - y2) and 35xy?(x - y)
lcm

Answers

Answer:

Correct option is

HCF of 20 and 35 = 5

HCF of x2yandxy2=xy

HCF of (x2−y2),i.e.,(x−y)(x+y)

and (x−y)=(x−y)

∴ReqdH.C.F=5xy(x−y)

Step-by-step explanation:

hiiii ur so cute

Find the value of x.

Answers

[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]

A large power plant generates 7.1 gigawatts of electrical power.
A large power plant generates_watts of electrical power. (Use the multiplication symbol in the math palette as needed)

Answers

Oh! Wow! That's superb!

The chorus sang for 27 minutes. If each song lasted an average of 412 4 1 2 minutes, how many songs did the chorus sing?

Answers

Answer:

It would be 15 songs if each song was 412 seconds, not minutes.

Step-by-step explanation:

find x if b is the midpoint of the line AC.
AB=6x-6 and BC=72

Answers

Answer:

[tex]if \: b \: is \: the \: mid \: point \: then \: \\ ab = bc \\ then \: 6x - 6 = 72 \\ 6x = 72 + 6 \\ 6x = 78 \\ x = \frac{78}{6} \\ x = 13 \\ thank \: you[/tex]

This question is simply about division of line segments.

x = 13

We see that point B is the mid point of line AC. This means that;

AB = AC

Now, since AB = 6x - 6 and BC = 72

Thus, 6x - 6 = 72

Add 6 to both sides to get;

6x = 78

divide both sides by 6 to get;

x = 13

read more here; brainly.com/question/10838483

Sam bought 8 new trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did sam start with?

Answers

Answer:

(8 + A) = 80 / 2 =40

A=72

Step-by-step explanation: Simple if sam bought 8 trading cards he obviously had some to start with and if half of that was 40 then the complete set was 80 and 80 - 8 is 72.

5, 317, 000 in scientific notation

Answers

Hi ;-)

[tex]5 \ 317 \ 000=\\\\=5,317\cdot1 \ 000 \ 000=\boxed{5,317\cdot10^6}[/tex]

Step-by-step explanation:

[tex]5317000 = 5.317 \times {10}^{6} \\ thank \: you [/tex]

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