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-BARSIC- [3]
3 years ago
14

Identify the values a, b, and c is the first step in using the quadratic formula to find the solution(s) to a quadratic equation

. What are the values a, b, and c in the following quadratic equation? 18=-9x+7x2
Mathematics
2 answers:
zlopas [31]3 years ago
7 0

The values are a = 7, b = -9, c = -18.

<u>Step-by-step explanation:</u>

The given quadratic equation is 7x^{2} - 9x = 18

The general form of the quadratic equation is ax^{2} + bx + c = 0

where,

  • a is the coefficient of x².
  • b is the coefficient of x.
  • c is the constant term.

Now, you have to modify the given quadratic equation similar to the general form of quadratic equation.

So, bring the constant term 18 to the left side of the equation for equating it to zero.

⇒ 7x^{2} - 9x - 18 = 0

Compare the above equation with general form ax^{2} + bx + c = 0

⇒ a = 7

⇒ b = -9

⇒ c = -18

Therefore, the values of a, b, and c are 7, -9 and -18.

Liula [17]3 years ago
7 0

Answer:

-7, 9, 18

Step-by-step explanation:

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Step-by-step explanation:

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4 0
3 years ago
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
Anni [7]

Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

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Read 2 more answers
X=2y-4<br>7x+5y=-66 <br> what is the x- value​
Gwar [14]

Answer:

x = -8

Step-by-step explanation:

x = 2y - 4 --- Equation 1

7x + 5y = -66 --- Equation 2

I will be using the substitution method to solve this.

Substitute x = 2y - 4 into Equation 2:

7x + 5y = -66

7(2y - 4) + 5y = -66

Evaluate.

14y - 28 + 5y = -66

Evaluate like terms.

19y - 28 = -66

Isolate 19y.

19y = -66 + 28

     = -38

Find y.

y = -38 ÷ 19

y = -2 --- Equation 3

Substitute y = -2 into Equation 1:

x = 2y - 4

x = 2(-2) - 4

Evaluate.

x = -4 - 4

x = -8

5 0
2 years ago
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