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Fiesta28 [93]
3 years ago
7

Solve for x: −3(x − 2)2 + 17 = 0

Mathematics
2 answers:
erastovalidia [21]3 years ago
7 0

Answer:

"x = 4.38, −0.38"

Step-by-step explanation:

The equation to solve is a quadratic:

-3(x-2)^{2}+17=0

We take -17 to the other side and divide by -3 and solve by taking square root and be sure to take + and - solutions:

-3(x-2)^{2}+17=0\\-3(x-2)^{2}=-17\\(x-2)^{2}=5.67\\x-2=+-\sqrt{5.67} \\x-2=+-2.38\\x=2.38+2=4.38\\x=-2.38+2=-0.38

Hence, the solutions are x = 4.38 and -0.38

Ulleksa [173]3 years ago
6 0

Answer: "x = 4.38, −0.38"

Step-by-step explanation:

The equation to solve is a quadratic:

-3(x-2)^{2}+17=0

We take -17 to the other side and divide by -3 and solve by taking square root and be sure to take + and - solutions:

Also. I took the test

:D

Step-by-step explanation:

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Talja [164]
<h2>Hello!</h2>

The answer is:

3x^{2} -14x+7

<h2>Why?</h2>

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

5x^2-5x+1-(2x^2+9x-6)=5x^{2}-2x^{2}-5x-9x+1-(-6)\\\\(5x^{2}-2x^{2})+(-5x-9x)+(1-(-6))=3x^{2}-14x+7

Hence, the answer is:

3x^{2} -14x+7

Have a nice day!

4 0
3 years ago
Children's tickets to a local play cost $\$1.50$ less than adult tickets. At one performance 325 children tickets and 175 adult
svetoff [14.1K]

Answer:

  $8.00

Step-by-step explanation:

The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.

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<h3>setup</h3>

Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...

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  175a +325c = 3512.5 . . . . . total revenue from ticket sales.

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<h3>solution</h3>

We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...

  c = a -1.50

Substituting that into the second equation, we have ...

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5 0
2 years ago
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Answer:

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hope this helps you!!

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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