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SOVA2 [1]
2 years ago
11

Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x^2 + 4x = - 5 has.

Mathematics
1 answer:
leonid [27]2 years ago
7 0

Answer:

C.

Step-by-step explanation:

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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
In a particular region, for families with a combined income of $75,000 or more, 15% of these families have no children, 35% of t
SCORPION-xisa [38]

Answer:

The probability distribution for x:"number of children per family for this income group" is:

\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\

Step-by-step explanation:

With the information given we have the relative frequencies of each category.

We know:

\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\

7 0
3 years ago
I need help on 4, 5, and 6.
Ahat [919]

Answers and Explanations:

4. They do not have a proportional relationship. For the first 3 sets, you can multiply x by 2.5 to get y. But that does not work for 8 and 18, so there is no proportional relationship between x and y.

5. Yes. For equilateral triangles, the side length is equal to the perimeter divided by 3, the number of sides. Vise versa, the side length times 3 equals the perimeter. If the side length is 3 in, multiply by 3 to get 9 in, the diameter.

6. Yes. it is proportional. X times 80 equals Y. In this case, in 8 hours, 640 tickets were sold.

<em>I hope these help! Feel free to give me Brainliest, if you thought the explanations helped your understanding. :)</em>

6 0
3 years ago
N and (2 + 6)<br> What is the answer
AleksandrR [38]

Answer:

8n

Step-by-step explanation:

distribute n between 2 and 6 then add

3 0
3 years ago
How do you solve this
Katyanochek1 [597]
Add it together. You find area with base times height!!!
4 0
3 years ago
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