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Nana76 [90]
3 years ago
9

1.4 in standard form

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0
14


Step by step explanation
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What is the mean of the set of data? 18, 11, 16, 8, 16, 21 plz help
Lorico [155]
The mean of the data is 15 all you gotta do is add all the number up and divide by the numbers added
6 0
3 years ago
Organisers for a charity event sold 500 tickets. Adult price £3 and children £2. Money received from adult ticket sales is £400
Tatiana [17]

Answer: 280

<u>Step-by-step explanation:</u>

                  Quantity   X    Cost    =  Money Received

Adult:               x                   3                   3x          

Children:       500-x              2            2(500 - x) = 1000 - 2x


Adult = Children + 400

  3x   =  1000 - 2x + 400

  3x   =   1400 - 2x

  5x   =   1400

    x    =    280

7 0
3 years ago
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:

1.

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.

2.

         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
In a direct variation, y = 14 when x = 2. Write a direct variation equation that shows the relationship between x and y.
Luden [163]

Answer:

24.3 y

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabol
amid [387]
<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span> 

y = 2x<span> 2</span><span> + 8 x + 5 </span>

Complete square and determine vertex. 

y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>

= 2(x + 2)<span> 2</span><span> - 3 </span>

<span>vertex at (- 2 , - 3) </span>

If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up . 

<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
4 0
3 years ago
Read 2 more answers
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