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TEA [102]
3 years ago
6

Simpify (5c^2-2c+4) + (c^2+2c)

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer: 2(3c^2+2)

Step-by-step explanation:

Get rid of the parentheses : 5c^2-2c+4 + c^2+2c

Combine any like terms: 5c^2-2c+4 + c^2+2c = 6c^2-2c+4 +2c

Combine like terms: 6c^2-2c+4 +2c = 6c^2+4

Then just factor by grouping:  (5c^2-2c+4) + (c^2+2c) = <u>2(3c^2+2)</u>

<u></u>

<u></u>

<u></u>

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Write an equivalent expression in word form. (1 - 1/3) ÷ 2
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Answer:

If you eat 1/3 of a whole pie, then you have to share the rest with your sibling(friend, etc)

Step-by-step explanation:

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Please help me on this one
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It’s c, 4 divided by 4 is .25 which gives you a 25 percent chance to get either
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3 years ago
Does anyone know how to do this??
Fynjy0 [20]

Answer:

  y > 11/2

Step-by-step explanation:

This is solved the same way a 3-step equation is solved.

<u>Step 1</u>: subtract the smaller variable term from both sides.

  4y -2y +3 > 2y -2y +14

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<u>Step 2</u>: subtract the constant with the variable term.

  2y +3 -3 > 14 -3

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<u>Step 3</u>: divide by the coefficient of the variable.

  2y/2 > 11/2

  y > 11/2

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<em>Additional comment</em>

By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.

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Geraldo recently saw a newspaper ad for a new version of his laptop. The projected price is $400.00, and the laptop will be out
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Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship
Mnenie [13.5K]

Answer:

  • k=27
  • y=27x

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

  • 3k=81
  • 4k=108
  • 5k=135

Solving any of the equation above gives: x=27

We therefore have:

\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|

Let y be the total cost of x tickets

  • From the above, the constant of proportionality, k=27

An equation for the relationship is therefore:

y=27x (where x is the number of tickets and y is the total costs (in $)).

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