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Anna [14]
3 years ago
7

Adriana is excited to go to the used video game store to buy a gaming system later today. The gaming system usually costs x doll

ars, but today it's on sale for 15% off!
Pick all the expressions that represent the sale price of the gaming system
x-0.15x
1.15x
x(0.15)
0.85x
Mathematics
1 answer:
natta225 [31]3 years ago
4 0

Answer:

.85x and x-0.15x

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The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

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Step-by-step explanation:

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Answer:

VW=18

Step-by-step explanation:

UV+VW=UW

10+4x=6x+1

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Josiah, the manager of a pet store, bought 72 oz of water conditioner to use in his fish tanks. His small tanks would require 2
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If we are going to analyze the problem very well, the equation that we will be able to make would be: 2x + 6y = 72

72 is the oz of water conditioner to use in his fish tanks.

small tanks would require 2 oz of conditioner

 large tanks would require 6 oz of conditioner

There is only one point which satisfy's the above equation.That is the points of (0, 12) and (36, 0)
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