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oksano4ka [1.4K]
1 year ago
13

F (x) = -4x² + 10x + 13

Mathematics
1 answer:
Alexus [3.1K]1 year ago
3 0

Answer:

f(7) = -113

Step-by-step explanation:

Hello!

Substitute 7 for x in the equation.

<h3>Evaluate</h3>
  • f(x) = -4x² + 10x + 13
  • f(7) = -4(7)² + 10(7) + 13
  • f(7) = -4(49) + 70 + 13
  • f(7) = -196 + 70 + 13
  • f(7) = -113

f(7) is -113.

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step-by-step:
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Please help me with this math question
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3. Solve the following application of a system of linear equations.
zhuklara [117]

Answer:

Equations:

y =  14 + 9 x --- Cindy

y = 10 x --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

Existing\ Flashcards = 14

Additional = 9 per minute

Total number of flashcards (y) in x minutes is:

y =  Existing\ Flashcards + Additional * x

y =  14 + 9 * x

y =  14 + 9 x

Ruben:

Rate = 10 per minute

Total number of flashcards (y) in x minutes is:

y = Rate * x

y = 10 * x

y = 10 x

Solution to Equations:

Time they have the same amount.

To do this, we equate both expressions

i.e.

10x = 14 + 9x

Collect Like Terms

10x - 9x = 14

x = 14

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

y = 10 x

y = 10 * 14

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or

y =  14 + 9 x

y = 14 + 9 * 14

y = 14 + 126

y = 140

4 0
2 years ago
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