What is the surface area of the cube. A. 409 cm² B. 2400 cm² C. 2004 cm² D. 40 cm²

Write a function in any form that would match the graph shown below

ella [17]

Answers:

Vertex form: y = -2(x-1)^2 + 8
Standard form: y = -2x^2 + 4x + 6

Pick whichever form you prefer.

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Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

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

0 = a(-1-1)^2+8

0 = a(-2)^2+8

0 = 4a+8

4a+8 = 0

4a = -8

a = -8/4

a = -2

The vertex form of this parabola is y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

y = -2(x^2-2x+1)+8

y = -2x^2+4x-2+8

y = -2x^2+4x+6 .... equation in standard form

7 0

2 years ago

Which of the following best describes the surface area of a solid figure?

grandymaker [24]

Assuming the figure has identifiable bases and sides, the total surface area is the sum of the areas of those:

... B. Base area + lateral area

4 0

3 years ago

Read 2 more answers

Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The follow

Dmitry_Shevchenko [17]

The graph of amount Tom owes his friend after a given time, t, is a straight line graph with a negative slope

Please find attached the required example of a possible graph that shows the amount Tom owes his friend

Reason:

Let A represent the amount of money Tom buys the boat with, let x

represent the amount of equal payment made and y represents the

amount Tom owes the friend after a given time, t, we have;

y = A - x·t

Therefore, the slope of the graph formed is -x, the y-intercept of the graph

is A, from which the graph that gives the amount of money, in dollars, Tom

owes his friend, as a function of time, in years can be presented as follows,

using example values;

A = $25,000 (Amount the Tom agrees to buy the boat)

x = $5,000 (Amount Tom pays each year for the boat)

By plugging in the above example values, the attached graph can be drawn using MS Excel

Learn more about plotting of straight line graphs here:

brainly.com/question/11097080

6 0

2 years ago

3. From noon to midnight, how many times do the hands of a clock form a straight line

melomori [17]

Step-by-step explanation:

The hands of a clock point in opposite directions ( in the same straight line) 11 times in every 12 hours.

4 0

2 years ago

Caluculate the quotient 8/9 divided by 4/9

Svet_ta [14]

8/9 / 4/9
=(8/9)*(9/4) Multiply by second reciprocal
=(2/1)*(1/1) Cross reduce
=2 Multiply

6 0

3 years ago

What is the surface area of the cube.A. 409 cm²B. 2400 cm²C. 2004 cm²D. 40 cm²​

What is the surface area of the cube.A. 409 cm²B. 2400 cm²C. 2004 cm²D. 40 cm²