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leva [86]
3 years ago
5

The sum of three consecutive numbers is eighty-four. Create the equation you would use to solve this problem using x as the vari

able for the first of the three consecutive numbers. (Do not use spaces)
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

27,28,29

Step-by-step explanation:

x+x+1+x+2 =84

3x +3 =84

3x=84-3

3x=81

x=81 :3

x=27 (the first number

27 +1=28 (the second number

27 +2 =29 (the third number

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The function f(x)=600+2x over x yields the average cost in dollars for a company to produce x calendars. Which statement best fi
nevsk [136]

Answer:

The correct option is a.

Step-by-step explanation:

The average cost function is

f(x)=\frac{600+2x}{x}

Where x is the number of calendars produced.

The average cost formula is

AC=\frac{\text{Total Cost}}{\text{Number of items}}

Therefore the total cost is defined b the function

g(x)=600+2x

Here 600 is the initial cost and the cost each unit is 2.

Initial cost is the fixed cost which occurs at zero level of productivity.

The company spends $600 on a new computer and printer before beginning the project. The option (a) is correct.

8 0
3 years ago
Read 2 more answers
ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)
Delicious77 [7]
remember
ln(x)=log_e(x)
and
log_x(a)-log_x(b)= log_x( \frac{a}{b} )
and
log_a(b)=c means a^c=b
and
blog(a)=log(a^b)



so

ln(y+1)-ln(y)=1+3ln(x)
ln( \frac{y+1}{y} )=1+ln(x^3)

minus ln(x^3) from both sides

ln( \frac{y+1}{y}-ln(x^3) )=1
ln( \frac{y+1}{yx^3})=1
log_e( \frac{y+1}{yx^3})=1

translate

e^1=\frac{y+1}{yx^3}
e=\frac{y+1}{yx^3}

times both sides by yx^3

eyx^3=y+1

minus y from both sides

eyx^3-y=1
y(ex^3-1)=1

divide both sides by (ex³-1)

y= \frac{1}{ex^3-1}
6 0
3 years ago
Read 2 more answers
here and buys a bag of peanuts that weighs three fourths of a pound later that week the bag is two-thirds full how much does the
Romashka-Z-Leto [24]
So you have 3/4x2/3 because it's 2/3 of the bag left, so you find the least common denominator (bottom number of fraction), which in this case is 12, so you find how you get to 12 for each of the bottom numbers, so x3 on the first one, and x4 on the other one. then you multiply the top numbers by what you multiply the bottom ones by, so it would be 9/12x8/12 you then multiply both numbers so 72/144 and then you simplify that to 1/2 so it's 1/2lb.
8 0
3 years ago
Write this relationship as a ratio, with kilograms as units. 300 g to 5 kg. (Express your answer using a colon. Leave spaces bet
Bad White [126]

Answer:

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Step-by-step explanation:

just simplified

BRAINLIEST PLS!

8 0
3 years ago
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baherus [9]
Alright, so the rate of change is the same thing as the slope, so we can find this by using the slope formula (which I took a picture of because it's super messy to type it out like this)

Now that we know the slope formula, we need to find the x values and the y values to plug into the equation. We'll say that the years are our x values and the money spent (in billions) are our y values. Now that we've set up an axis, we can create points! Our points would be (2000, 1243) and (2005, 1838)

Now we can plug our points into our equations! On the top of our equation, we'll put (1838-1243), and on the bottom we'll put (2005-2000). When we simplify that, we end up with 595/5, which simplifies to 119. Now we know that the rate of change for the credit cards was 119 billion!

4 0
3 years ago
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