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3 years ago

Which graph represents a quadratic function with a vertex at (0, 0)

Mathematics

1 answer:

____ [38]3 years ago

5 0

PARABOLA

On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6).

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Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.

zysi [14]

Answer:

328.05 dollars

7 years

Step-by-step explanation:

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the <u>initial price is $500</u>, the <u>value depreciates 10% each year </u>because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after <u>fourth year</u> 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

y= 500(.9)^x

----------------------------------------------------------------------------

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0

3 years ago

The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases h

balandron [24]

The volume of the geometry that is oblique prism is $\rm 0.5x^3 + x^2$ . Then the correct option is A.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The oblique prism below has an isosceles right triangle base.

The triangular bases have 2 sides with a length of x.

The distance from the 2 triangular bases is (x + 3).

The vertical height of the prism is (x + 2).

The volume of the oblique prism will be

$\rm Volume = Area\ of \ triangle * Vertical\ Height \\\\Volume = \dfrac{1}{2} (Base)^2 * Vertical \ Hetght\\\\Volume = \dfrac{1}{2} x^2 (x + 2)\\\\Volume = \dfrac{1}{2} x^3 + x^{2} \\\\$

The volume of the oblique prism is $\rm 0.5x^3 + x^2$ .

Thus, option A is correct.

More about the geometry link is given below.

brainly.com/question/7558603

7 0

2 years ago

Help! It’s timed and I’m not sure

tensa zangetsu [6.8K]

Answer:

x < 0

Hope this helps!

7 0

2 years ago

Find the expected value of the winnings

Bas_tet [7]

Answer:

2.65

Step-by-step explanation:

Multiply each payout by its probability, then add those products.

See the attached image.

The first column has the payouts. The second column has the probabilities. The third column has the results of multiplying a payout by its probability.

The sum of the entries in the third column is 2.65

6 0

2 years ago

Read 2 more answers

Simplify the expression (18x^2 / 3x^6) .

borishaifa [10]

The answer is 6/x^4.

3 0

3 years ago

Read 2 more answers