1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Juliette [100K]
3 years ago
7

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

Mathematics
1 answer:
harina [27]3 years ago
7 0

Answer:

A quadratic function.

y=2.5x^{2}

Step-by-step explanation:

If you plot the points given in the table, you obtain the graph shown in the figure attached.

As you can see, it is a parabola, therefore, the function that best models the data is a quadratic function.

By definition, the parent function of a quadratic function is:

y=x^{2}

You can compress or stretch it in the y-direction by multiplying the function by a constant C:

 y=Cx^{2}

If 0, then the function is compressed.

If C>1, then the function is stretched.

You can find the constant of the function asked as following:

- Substitute x=1 into the parent function to obtain the y-coordinate:

y=(1)^{2}=1

Then the point is (1,1)

- As you can see, with x=1 you obtain y=1 in the parent function, and in the function given in the table when x=1, y=2.5, therefore, the function is multiplied by 2.5. Therefore the constant is:

C=2.5

Then the function is:

y=2.5x^{2}

You might be interested in
Otieno is k years old.He is 5 years older than kidole what will be their age fours to come​
EleoNora [17]

Answer:

Otieno's age in 4 years: k+4

Kidole's age in 4 years: k-1

Step-by-step explanation:

k = Otieno's age

k-5 = Kidole's age

Their ages will increase by 4 years when 4 years pass.

k+4 = Otieno's age in 4 years

k-5+4 = Kidole's age in 4 years

k-1 = Kidole's age in 4 years (after simplifying the expression)

I hope this helps!

6 0
2 years ago
WILL GIVE BRAINLIST AS SOON AS I CAN is this 32, maybe? i have no idea.​
Feliz [49]

Answer:

y ≈ 32.0°

Step-by-step explanation:

Since the triangle is right use the sine ratio to find y

sin y = \frac{opposite}{hypotenuse} = \frac{9}{17}, thus

y = sin^{-1} ( \frac{9}{17} ) ≈ 32.0° ( nearest tenth )

8 0
3 years ago
Set 2 Maths has 30 pupils in it.
Ierofanga [76]
80/100 x 30 = 24 because you just multiply percents
4 0
2 years ago
Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x
satela [25.4K]

Answer:

<em>options:  A,C,E </em>are correct.

Step-by-step explanation:

We have to find the expression equivalent to the expression:

\dfrac{21^x}{3^x}

we know that: 21^x=(3\times7)^x\\\\21^x=3^x\times7^x

Hence,

\dfrac{21^x}{3^x}=\dfrac{3^x\times7^x}{3^x}=7^x-----(1)

A)   (\dfrac{21}{3})^x= 7^x  (same as(1))

Hence, option A is correct.

B)  7 ; which is a different expression from (1)

Option B is incorrect.

C) 7^x   (Same as (1))

Option C is correct.

D) (21-3)^x=18^x   which is a different expression from (1)

Hence, option D is incorrect.

E) \dfrac{7^x\times3^x}{3^x}=7^x   ; which is same as (1)

Hence, Option E is correct.

F) 3^x  ; which is not same as expression (1)

Hence, option F is incorrect.

5 0
3 years ago
Read 2 more answers
Can you please help really, please?
Tanya [424]
For lesson 4 10^15/10^4= 10^11 because when you are dividing with exponents you have to subtract the bottom exponent with the top one so 15-4=11; 10^15/10^4=10^11
4 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangle has a height of 5m^4 and a width of m^2-2m-1.
    10·1 answer
  • Marie and Whitney order eggs for $4.35, pancakes for $3.10, and 2 mugs of cocoa for $1.45 each. The tax is $0.85. How much chang
    8·1 answer
  • Explain how the points A(9,-2/5) and B(9,2/5) are related.
    5·1 answer
  • Find the sum of the three expressions and choose the correct answer.
    8·2 answers
  • How can you place value and period names to read and write 12,324,904 in word form?
    6·2 answers
  • Solve for the missing variable :&gt; thank you​
    7·1 answer
  • Round 98,471 to the nearest ten thousands
    12·1 answer
  • Using function notation, create a transformation of the parent function, f(x) = x ,
    12·1 answer
  • Cheese pizza cost 6$ each and four topping pizza that cost $10 each. If you order c cheese pizzas and f four toppings how much w
    7·1 answer
  • Find the value of x Using parallel cut by the transversal (show your work)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!