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Alex Ar [27]
3 years ago
10

If f(x) is linear, f(− 1) = 9 , and f(2) =− 24, find f(x).

Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer: Equation of st line is Y= -9X + 141

Step-by-step explanation: Given Y= 24 when X = 13 and Y = 87 when X = 6

Let the equation be Y = mX + C

24 = m*13 +C

and 87 = m* 6 +C

Give m = -9 and C = 141

Equation of st line is Y= -9X + 141

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explanation: Sorry i couldn’t finish and i hope these are correct! I’m not that good at math but good luck
4 0
3 years ago
A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio
Tatiana [17]

Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

   x (liters of 25% solution)

   y (liters of 50% solution)

 

Our system of equations will consist of two equations:

   Equation #1 (total volume of solution)

   Equation #2 (total concentration of acid)

 

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

   Equation #1:  x + y = 10

 

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

   Equation #2:  (0.25)(x) + (0.50)(y) =

                            (0.40)(10)

 

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

   x + y = 10

         y = 10 - x

 

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

   0.25(x) + 0.50(10 - x) = 0.40(10)

   0.25x + 5 - 0.50x = 4

   -0.25x = 4 - 5

   -0.25x = -1

          x = (-1)/(-0.25)

          x = 4 (liters of 25% solution)

 

Now we'll plug our value for x into Equation #1 and solve for y:

   4 + y = 10

         y  = 10 - 4

         y = 6 (liters of 50% solution)

 

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

   0.25(4) + (0.50)(6) = 0.40(10)

   1 + 3 = 4

         4 = 4 (our answers are correct)

8 0
2 years ago
Are these three side lengths a right triangle?<br> 5, 5, 5√s<br> yes or no?
11111nata11111 [884]

Answer:

no

Step-by-step explanation:

5 0
2 years ago
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DanielleElmas [232]

With the spending on wars, the aggregate demand falls and the curve will shift towards the left because the production of other goods will reduce in the economy.

<u>Explanation:</u>

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With the fall in the production of the goods and the services, the demand also reduces because the overall income of the economy falls. The resources are used to produce war weapons and not consumer goods thus leading to fall in employment, income and so on. Thus the demand curve will shift to the left.

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