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3 years ago

Consider the function shown on the graph.

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

C.) y = 3(x - 3)(x - 7)

For the function:

x intercept: (3, 0), (7, 0)

vertex point: (5, -12)

point: (8, 15)

Writing equation:

y = a(x - h)² + k

15 = a(8 - 5)² - 12

15 = 9a - 12

9a = 15 + 12

9a = 27

a = 3

So the equation is:

y = 3(x - 5)² - 12

y = 3(x² - 10x + 25) - 12

y = 3x² - 30x + 63

y = 3(x - 3)(x - 7)

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A museum curator is hanging 9 paintings in a row for an exhibit. There are 6 Renaissance paintings and 3 Baroque paintings. From

Sophie [7]

Answer:

4,320ways

Step-by-step explanation:

We are given the following from the questions

Number of paintings = 9

Renaissance paintings= 6

Baroque paintings = 3

Since they are hanging from left to right and we will first hang Renaissance painting before baroque painting, hence;

For Renaissance painting, this can be done in 6! ways

6! = 6*5*4*3*2*1

6! = 720ways

Similarly for Baroque painting, this can be done in 3! ways

3! = 3*2*1

3! = 6ways

The total number of ways to hang the painting = 6!*3!

The total number of ways to hang the painting = 720 * 6

The total number of ways to hang the painting = 4,320ways

Hence there are 4,320ways to hang the paintings

3 0

2 years ago

The length of a diagonal of a quadrilateral shaped field Is 48 m And the length of perpendicular dropped on it from the remainin

olchik [2.2K]

Answer:

$1008\text{ m}^2$

Step by step explanation:

Please find the attachment.

We have been given that the length of a diagonal of a quadrilateral shaped field Is 48 m. The length of perpendicular dropped on it from the remaining apposite vertices are 16 m and 26 m.

We can see from our attachment that diagonal AC divides our quadrilateral field into two triangular fields and AC will be the base of both triangles.

To find the area of our given quadrilateral we will find the areas of both triangles and add the areas.

Let us find area of triangle ABC with base 48 m and height 26 m.

$\text{Area of triangle}=\frac{1}{2}(\text{ Base}\times\text{ Height})$

$\text{Area of triangle ABC}=\frac{1}{2}\times 48\times 26$

$\text{Area of triangle ABC}=24\times 26$

$\text{Area of triangle ABC}=624$

Therefore, the area of triangle ABC will be 624 square meters.

Now let us find area of triangle ADC with base 48 m and height 16 m.

$\text{Area of triangle ADC}=\frac{1}{2}\times 48\times 16$

$\text{Area of triangle ADC}=24\times 16$

$\text{Area of triangle ADC}=384$

Therefore, the area of triangle ADC will be 384 square meters.

Now let us add areas of triangles ABC and ADC to get the area of our quadrilateral ABCD.

$\text{Area of quadrilateral ABCD}=384+624$

$\text{Area of quadrilateral ABCD}=1008$

Therefore, the area of quadrilateral shaped field will be 1008 square meters.

6 0

4 years ago

Devin wants to buy some t-shirts from a store in the mall. He has $20 in his pocket and the t-shirts cost $5 each. The situation

avanturin [10]

Answer:20-5t+=

Step-by-step explanation:

7 0

3 years ago

Al saves pennies. He agreed to give six thirteenths of his pennies to Bev if she would give six thirteenths of what she got from

telo118 [61]

Answer:

Step-by-step explanation:

Let x represent the number of pennies that Al had initially.

He agreed to give six thirteenths of his pennies to Bev. It means that the number of pennies that he gave to Bev is 6/13 × x = 6x/13

if she would give six thirteenths of what she got from Al to Carl, it means that the number of pennies that Carl received is 6/13 × 6x/13 = 36x/169

if Carl in turn would give six thirteenths of what he got from Bev to Dani and Dani received 2376 pennies, it means that

6/13 × 36x/169 = 2376

216x/2179 = 2376

216x = 2376 × 2179

216x = 5220072

x = 5220072/216

x = 24167

AI had 24167 pennies initially

7 0

4 years ago

Anwser<br> pls for brainliest

cestrela7 [59]

Answer: C
Hope this helps :)

8 0

3 years ago