Determine the next 4 terms in the sequence. 8, 11, 14, 17, ...

Please help:) with my math it’s Quadratic Functions

vaieri [72.5K]

Answer:

Part A: 2531.25; It means the maximum amount of profit that can be obtained at a specific amount of price reduction (x-value) for the shirts' market price.

Part B: (0,2500); It represents the profit that can be made by reducing $0 in the shirts' price.

Part C: Yes, it has a zero. Its zero is (25,0) and that represents the amount of profit made by reducing $25 from the price of each shirt being sold, which means if it sells for $0 by reducing $25 from the price of each shirt, then the x-coordinate must also represent the original price of each shirt, $25.

Step-by-step explanation:

Part A: Look at the graph! The highest y-value should be the maximum of each graph, which can be located at the vertex of a quadratic function. In this graph, the vertex is (2.5, 2531.25), where which its y-value contains the highest point of a graph, since the graph is concave down.

Part B

$y=a(x-2.5)^{2} +2531.25\\$

$0=a(25-2.5)^{2} +2531.25\\$

$a(22.5)^{2} =-2531.25$

$506.25a =2531.25$

$a=-5$

$y=-5(x-2.5) ^{2}+2531.25$

$y=-5(0-2.5)^{2} +2531.25$

$y=-31.25+2531.25$

$y=2500$

y-intercept: $(0,2500)$

Part C

The graph only has a zero if the function touches the x-axis, also known as the line, $y=0$ . In this case the graph does intersect the x-axis at the point, $(25,0)$ . Therefore, it has a zero, and the value of the x coordinate at the zero is 25. This value represents the profit generated from reducing the price of each shirt by $25, which is $0. Therefore, this also represents the original price of each shirt without any price reduction, since there is no profit made by completely reducing the price of each shirt at that specific point in the graph, which is 25 or $25. Therefore, this displays that.

4 0

3 years ago

The four members of the "Fantastic Four" made 40 cookies each for the bake sale. They know that 35% of their cookies are chocola

stepan [7]

Answer:

56 Chocolate Chip cookies

Step-by-step explanation:

To find the answer first add up all of the cookies, in this case, 40+40+40+40 witch equals 160. then find 35% of that. This can be done by dividing 160 by 100 to get 1% then multiplying that by 35 to get 35% witch is 56. Therefore you have 56 Chocolate Chip cookies.

6 0

3 years ago

I need to solve for X btw they are same side interior ( supplementary angles )

Sidana [21]

Answer:

x = 17.2

Step-by-step explanation:

since they are supplementary, when you add then together they equal 180

4x + 8 + 6x = 180

Combine like terms

10x + 8 = 180

subtract 8 from both sides

10x = 172

divide each side by 10

x = 17.2

hope this helps :)

7 0

3 years ago

What is x*24-34+56? And how did you get the answer?

Ilia_Sergeevich [38]

I assume you are solving for x

x*24-34+56 = 0

Start by isolating the term with x in it on one side of the equation.

To do this, we can subtract 56 and add 34 to both sides.

24x = -22

Divide both sides by 24 to complete the problem.

x= -22/24

5 0

4 years ago

Miguel needs to make a total of 35 deliveries this week. So far he has completed 14 of them. What percentage of his total delive

Firlakuza [10]

Answer:

40%

Step-by-step explanation:

Miguel needs to make 35 deliveries this week

He has completed 14 of them so far .

Therefore, percentage of total deliveries completed

Will be number of completed deliveries divided by total number of deliveries multiplied by 100%

That’s

14/35 x 100%

0.4 x 100%

40%

This therefore means that Miguel has completed 40% of his total deliveries for the week

4 0

3 years ago