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Colt1911 [192]
3 years ago
7

What is 4x+4y=9in slope-entercept form

Mathematics
2 answers:
Vlada [557]3 years ago
7 0

Answer:

Slope = 1

 x-intercept = 9/4 = 2.25000

 y-intercept = 9/-4 = -2.2500

Let me know if this helped if not then i'm so sorry!

Darina [25.2K]3 years ago
3 0

Answer:

y= -x + 2.25

Step-by-step explanation:

first subtract 4x from both sides

4y = -4x +9

then divide by 4

y = -x + 2.25

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Professor Vinculum investigated the migration season of the Bulbul bird from their natural wetlands to a warmer climate. He foun
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The population of the Bulbul birds at the start of the migration season is 1800.

<h3>Exponential function</h3>

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

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P=1350+400(1.25)^{-t}\\\\At\ the\ start\ of\ the\ season(t=0):\\\\P=1350+400(1.25)^{-0}\\\\P=1350+450=1800

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1 year ago
1. There were 36,000 people at a horse race in Lexington, Kentucky. The day's
Step2247 [10]

Answer:

  • 10000 people paid $12.00 each for clubhouse seats and
  • 26000 people paid $5.00 each for grandstand seats.

Step-by-step explanation:

The question is asking for a system of equations, which make explanations easy. :)

Define the variables. Setting x to the number of clubhouse seats sold and y to the number of grandstand seats sold will be sufficient. The "let statement[s]" will be:

  • Let x be the number of clubhouse seats sold.
  • Let y be the number of grandstand seats sold.

The number of equations shall be no less than the number of variables for the solution to be unique. There are two variables. It will take at least two equations to find a unique solution.

Everyone at the race need a seat. The number clubhouse seats plus the number of grandstand seats shall be the same as the number people at the race. There were 36,000 people. Therefore the first equation shall be:

x + y = 36000.

Every clubhouse seat will add $12.00 to the receipt. x clubhouse seats will add $12\;x to the receipt. Similarly, y grandstand seats will add $5\;y to the receipt. The two values shall add up to $250,000.

Drop the dollar sign to get the second equation:

12\;x +5\;y =250000.

Hence the system:

\displaystyle \left\{\begin{aligned}& x + y = 36000 && \textcircled{\raisebox{-0.9pt}1}\\ & 12\;x + 5\;y = 250000 && \textcircled{\raisebox{-0.9pt}2}\end{aligned} \phantom{\small credit for the raisebox hack: tex[dot]stackexchange[dot]com/questions/7032/good-way-to-make-textcircled-numbers}.

Solve this system.

The first non-zero coefficient in equation \textcircled{\raisebox{-0.9pt}1} is already one. That's the coefficient for x. Use multiples of equation \textcircled{\raisebox{-0.9pt}1} to get rid of x in other equations (equation \textcircled{\raisebox{-0.9pt}2} in this case.)

-12 times equation \textcircled{\raisebox{-0.9pt}1} is

-12 \;x - 12\;y = -432000.

Add -12\times \textcircled{\raisebox{-0.9pt}1} to \textcircled{\raisebox{-0.9pt}2} to get:

0\;x + -7\;y = -182000.

Divide both sides by -7 to get:

y = 26000.

Add -1 times this equation to equation \textcircled{\raisebox{-0.9pt}1} to get:

x = 10000.

That is:

\displaystyle \left\{\begin{aligned}&x = 10000\\&y = 26000\end{aligned}.

In other words,

  • 10000 clubhouse seats were sold, and
  • 26000 grandstand seats were sold.
8 0
3 years ago
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