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valkas [14]
3 years ago
5

Umm how to do rates

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.

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X² - x - 6 = 0<br><br> Solutions?
Ira Lisetskai [31]
Factors of -6 that add up to -1:

(x - 3)(x + 2) 

Set them to 0 and solve for x

<span>x = 3 </span>

<span>x = -2</span>
5 0
3 years ago
I need help with Geometry
Licemer1 [7]

ednocrkdlwmqcw e9rbeuopgjkmr qoejffwkf ,rwfrwfjr nmwrfHELP ME iuehf[eoiffkjkmfeiufkwjmfwufuStep-by-step explanation:

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3 years ago
A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A
Pavlova-9 [17]

Answer:

$180000

Step-by-step explanation:

Let's c be the number of chair and d be the number of desks.

The constraint functions:

- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c

- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c

c >= 0

d >= 0

The objective function is to maximize the profit function

P (c,d) = 400d + 250c

We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis)  and find the intersection point 0.5c = 500 - 0.75c

1.25c = 500

c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000

The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500

So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000

7 0
3 years ago
Complete the steps to solve the radical equation. 7 – x = x2 + 10x + 25 0 = x2 + 11x + 18 The equation has two possible solution
Strike441 [17]

There is no extraneous solution, while true solutions are x= -2 and x = -9

Step-by-step explanation:

We need to find the value of x from the equation:

7-x = x^2 + 10x + 25

x^2 + 11x + 18=0

Factorizing the equation:

x^2 + 11x + 18=0\\x^2+9x+2x+18=0\\x(x+9)+2(x+9)=0\\(x+2)(x+9)=0\\x+2=0\,\,and\,\,x+9=0\\x=-2\,\,and\,\,x=-9\\

So, values of x are: x= -2 and x = -9

Now, finding extraneous solution and true solution

Putting value of x in original equation

x= -2

7-x = x^2 + 10x + 25

7-(-2) = (-2)^2 + 10(-2) + 25\\7+2=4-20+25\\9=4+5\\9=9

Since -2 satisfies the given equation, so it is true solution.

Putting x = -9

7-x = x^2 + 10x + 25\\7-(-9)=(-9)^2+10(-9)+25\\7+9=81-90+25\\16=16

Since -9 satisfies the given equation, so it is true solution.

So, There is no extraneous solution, while true solutions are x= -2 and x = -9

Keywords: solve the radical equation

Learn more about solve the radical equation at:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2364381

#learnwithBrainly

7 0
4 years ago
Read 2 more answers
Solve the following inequality. 8.2 – 1 &lt; 15​
Akimi4 [234]

Answer:

x < 2

Step-by-step explanation:

Solve this the way you would solve an equation:

8x - 1 < 15\\ 8x < 16\\x < 2

6 0
3 years ago
Read 2 more answers
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