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Ira Lisetskai [31]
2 years ago
9

Determine whether the relation is a function.

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
3 0

keeping in mind that a function has no X-repeats, namely the x-coordinate of every pair doesn't repeat, so let's take a peek at this one, Check the picture below, so no dice.

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In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e
Nina [5.8K]

Answer:

c = 8.14 million×(0.9166)^t

4.83 million  

Step-by-step explanation:

Data:

  t = y - 2007

c₀ = 8.14 million

c₃  = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

      c₃ = c₀r^t

0.77c₀ = c₀r³

   0.77 = r³              Divided each side by c₀

         r = 0.9166     Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

7 0
3 years ago
What is gross income? Gross income is money earned before taxes are taken from a paycheck. Gross income is money earned after ta
Kaylis [27]

Answer:

Gross income is money earned before taxes are taken from a paycheck

Step-by-step explanation:

Gross income is money earned before taxes are taken from a paycheck

Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.

Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.

For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted

7 0
3 years ago
What is the justification for the step taken from line 2 to line 3?
stiv31 [10]

Step-by-step explanation:

3x+9-7x=x+10+x\\-4x+9=2x+10\\-6x+9=10\\

  • In the line 2, only variables were operated with a reduction of similar terms in each side of the equation, giving as result -4x at one side, and 2x at the other side.
  • In the line 3, terms with variables were joined together in one side of the equation, and then, they were operate it, given as result -6X.
3 0
3 years ago
Read 2 more answers
How many diagonals can you draw from the vertex of an octagon
ludmilkaskok [199]
From one vertex of an octagon you can draw 5 diagonals.

There are 8 vertices in an octagon, and we are choosing one as our starting vertex. There are then 7 vertices left to draw a line to, but 2 of the vertices are already connected to our main vertex (because they are connected along the side of the octagon). That leaves 5 vertices to draw a diagonal to from our original vertex.
8 0
2 years ago
Hector, Sam, Ted, and Gina are comparing their savings. Hector saved twice as much money as Sam. Ted saved $100 more than Hector
lutik1710 [3]

Answer:

2x+50

Step-by-step explanation:

Given: Hector saved twice as much money as Sam.

           Ted saved $100 more than Hector.

           Gina saved $50 less than Ted.

As given, lets assume the amount of money Sam has in saving be "x".

Now, finding saving of each person given.

Writing the algebric expression of each´s saving amount.

we know, Hector saved twice as much money as Sam.

∴ Hector saving= \$2x

Also, Ted saved $100 more than Hector.

∴ Ted´s saving= \$(2x+100)

Next finding Gina´s saving

As given, Gina saved $50 less than Ted.

∴ Gina´s saving= \$ (2x+100)-\$ 50

Opening parenthesis and solving it.

⇒ Gina´s saving= \$ 2x+\$50

Algebric expression of Gina´s saving= 2x+50

5 0
3 years ago
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