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vovangra [49]
3 years ago
14

Write a formula for quadratic function if its graph has the vertex at point ( 1/3 ,−3) and passes through the point (1,1).

Mathematics
1 answer:
JulsSmile [24]3 years ago
3 0

Answer:

f(x) = 9(x -1/3)^2 -3

Step-by-step explanation:

In vertex form the equation of a quadratic with vertical scale factor "a" and vertex (h, k) is ...

y = a(x -h)^2 +k

To make the equation have (1, 1) as a solution, we need to find the value of "a". We can put the point coordinates in the equation and solve for "a":

1 = a(1 -1/3)^2 -3 . . . . . for (h, k) = (1/3, -3) as given

1 = (4/9)a -3 . . . . simplify

4 = (4/9)a . . . . . . add 3

9 = a . . . . . . . . . . multiply by 9/4

The quadratic function you desire is ...

f(x) = 9(x -1/3)^2 -3

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I need help with this work
hammer [34]

Answer:

no

Step-by-step explanation

m=18

the reason why is because 5+4 =9 so 9*2=18

18/2=9

9-4=5

4 0
3 years ago
Ron's property tax is $615.33 and is due April 5. He does not pay until July 19. The country adds a penalty of 8.4% simple inter
dolphi86 [110]
Number of days that attracted penalty is from April 5 to July 19 which is 105 days.

Thus the amount of simple interest attracted by Ron is given by:

S.I.= \frac{615.33\times8.4\times105}{100\times365} = \frac{542,721.06}{36500} =\$14.87
6 0
3 years ago
What are the coordinates of the terminal point determined by T=20pi/3
Serga [27]

Answer:

t=5x=3049

Step-by-step explanation:

3 0
2 years ago
Find the monthly payment for the loan. Finance $500,000 for an apartment complex with a 12.3% 10-year loan.
Marina86 [1]

Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
  • n is the number of payments.

In this problem, the parameters are given as follows:

P = 500000, r = 0.123, n = 12 x 10 = 120.

Hence:

r/12 = 0.123/12 = 0.01025.

Then, the monthly payments will be of:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

A = 500000\frac{0.01025(1+0.01025)^{120}}{(1+0.01025)^{120} - 1}

A = 7260.50.

More can be learned about the monthly payment formula at brainly.com/question/26267630

#SPJ1

6 0
2 years ago
Given that x:y=5:1 find 4x+5y:3x
kotykmax [81]

Answer:

5:3

Step-by-step explanation:

When the ratio says x:y=5:1, it means that x is 5 times greater than y. So, plug in 5 for x and 1 for y.

4(5)+5(1):3(5)

20+5:15

25:15 , if simplified then the ratio 5:3

6 0
3 years ago
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