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1 year ago

Graph a quadratic function with a vertex at (2, -3) with a = 3.

Mathematics

1 answer:

Alina [70]1 year ago

8 0

Answer:

bottom one

Step-by-step explanation:

use (x , y)

the top one is -3,2

the bottom one is 2,-3

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The same number of people live on the islands Beautiful Sunrise and Gorgeous

aev [14]

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

In this problem, we have that:

We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.

There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

$P = \frac{a}{x} \times 100\%$

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

$\frac{x + a}{x - a} = 7$

We can find a as a function of x to find the percentage:

$\frac{x + a}{x - a} = 7$

$7(x - a) = x + a$

$7x - 7a = x + a$

$8a = 6x$

$a = \frac{3x}{4}$

Then, the percentage is:

$P = \frac{a}{x} \times 100\%$

$P = \frac{\frac{3x}{4}}{x} \times 100\%$

$P = \frac{3}{4} \times 100\%$

$P = 75\%$

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

7 0

1 year ago

654.29 divided by 19

AleksAgata [21]

Answer:

It would be 34.43631578 but you can just say 34.4

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Translate this sentence into an equation. The product of Craig's savings and 4 is 76 . Use the variable c to represent Craig's s

pantera1 [17]

The product of Craig's savings is 4 and 76. Use the variable g to represent
Use the variable c to represent Craig's savings.
g = 4*76 = 304

4 0

2 years ago

A plane flies round-trip to Philadelphia. It flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 mi

VMariaS [17]

1430 miles in 6.5 hours because you multiply 220 by 6.5 and equals 1430miles

8 0

3 years ago

Find the number of roots for the following equation. 9x5 + 12x4 – x2 + 8x + 4=0

skad [1K]

Answer:

5 roots

Step-by-step explanation:

Given

$9x^5 + 12x^4 - x^2 + 8x + 4 = 0$

Required

The number of roots

The degree of a polynomial represents the number of roots.

In the given equation, the degree of the polynomial is 5.

Hence, the number of roots is 5

8 0

2 years ago