All categories

2 years ago

3 positive integers have a mean of 5 and range of 10, what are the integers

Mathematics

1 answer:

just olya [345]2 years ago

3 0

The three positive integer that has mean of 5 and range of 10 will be 0, 5, 10.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Let the three positive number be (a – d), (a), and (a + d).

Then the mean of the number will be 5. Then we have

5 = (a – d + a + a + d) / 3

5 = (3a) / 3

a = 5

Then the range will be 10. Then we have

(a + d) – (a – d) = 10

a + d – a + d = 10

2d = 10

d = 5

Then the three positive integer that has mean of 5 and range of 10 will be 0, 5, 10.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

You might be interested in

Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys

il63 [147K]

Answer:

a) $P(x)=-0.042x^2+530x-18000$

b) $P'(x)=-0.084x+530$

$P'(4000)=194$

$P'(9500)=-268$

Step-by-step explanation:

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

$P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000$

This is the profit function.

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

$\frac{d}{dx}(x^n)=nx^{n-1}$

Now, we differentiate the profit function to get the marginal profit function (P'):

$P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530$

This is the marginal profit function , P'.

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

$P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194$

and

$P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268$

6 0

3 years ago

I need help with this

igor_vitrenko [27]

Answer:

see below

Step-by-step explanation:

Part A

Angles 1 and 5 are alternate angles (z angles), which means they are equal.

Similarly, angles 3 and 6 are alternate (z angle), which means they are equal.

Part B

Angles on a straight line add up to 180°.

8 0

2 years ago

X/x+1-1/x-1+2x/x^2-1

Dvinal [7]

Answer:

Input:

x/x + 1 - 1/x - 1 + 2×x/x^2 - 1

Result:

1/x

7 0

4 years ago

-18 - 14= whats the answer help

AveGali [126]

Answer:

-32 :) is the answer just think about it as your adding the sum of these numbers then putting a negative in front of it.

Step-by-step explanation:

5 0

3 years ago

Draw a line plot to correctly display the data 4,5,6,9,13,14,14,14,15 mean= median= mode= range=

ziro4ka [17]

Mean=10.4 since you add all the numbers which gives you 94 and divide by how many they are and that is 9
median=13 (middle number)
mode=14 constant seen number
range= 11 because 15 minus 4 is 11 (difference between your lowest and highest value
a line plot is another word for dot plot so just use 1 -20 and arrange the number
hope this helps

5 0

4 years ago