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jarptica [38.1K]
3 years ago
14

Which is the graph of f(x)?

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

Third graph is the correct choice. See below.

Step-by-step explanation:

See the attachment below.

Best Regards!

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densk [106]
$1.2 is the sales tax I think. I did 40 x .03
4 0
3 years ago
Solve the following quadratics. State the FACTORS AND SOLUTIONS. 1. 2x^2 - 7x + 3 2. 3x^2 + 7x +2
tekilochka [14]

Answer:

1. x = 3, 1/2 (solutions); (x - 3)(2x - 1) (factors)

2. x = -1/3, -2 (solutions); (3x + 1)(x + 2) (factors)

Step-by-step explanation:

<u>1. 2x^2 - 7x + 3</u>

To solve problem 1, you will need to identify your a, b, and c values in this quadratic function.

Since this problem is in standard form, it will be easy to identify these values. The standard form of a quadratic function is ax^2 + bx + c.

The a value is 2, the b value is -7, and the c value is 3 if we use our standard form and see which numbers are plugged into it.

Since we know that

  • a = 2
  • b = -7
  • c = 3

we can use the quadratic formula: x = \frac{-b~\pm~\sqrt{b^2~-~4ac} }{2a}

Substitute the a, b, and c values into the quadratic formula: x=\frac{-(-7)\pm\sqrt{(-7)^2-4(2)(3)} }{2(2)}

Now simplify using the laws of pemdas: x=\frac{7\pm\sqrt{(49)-(24)} }{4}

Simplify even further: x=\frac{7\pm\sqrt{(25)} }{4} \rightarrow x=\frac{7\pm (5) }{4}

Now split this equation into two equations to solve for x: x=\frac{12 }{4} ~~and~~ x=\frac{2 }{4}

12/4 can be simplified to 3, and 2/4 can be simplified to 1/2.

This means your solutions to problem 1 is 3, 1/2.

\boxed {x=3,\frac{1}{2} }

There is also another way to solve for the quadratic functions, and this was by factoring.

If you factor 2x^2 - 7x + 3 using the bottoms-up method, you will get (x - 3)(2x - 1).

After factoring, solving for the solutions is simple because all you have to do is set each factor to 0.

  • x - 3 = 0
  • 2x - 1 = 0

After solving for x by adding 3 to both sides, or by adding 1 to both sides then dividing by 2, you will end up with the same solutions: x = 3 and x = 1/2.

<u>2. 3x^2 + 7x + 2</u>

To save time I'll be using the bottoms-up factoring method, but remember to refer back to problem 1 (quadratic formula) if you prefer that method.

Factor this quadratic function using the bottoms-up method. After factoring you will have (3x + 1)(x + 2). These are your factors.

Now to solve for x and find the solutions of the quadratic function, you will set both factors equal to 0.

  • 3x + 1 = 0
  • x + 2 = 0

Solve.

<u>First factor:</u> 3x + 1 = 0

Subtract 1 from both sides.

3x = -1

Divide both sides by 3.

x = -1/3

<u>Second factor:</u> x + 2 = 0

Subtract 2 from both sides.

x = -2

Your solutions are x = -1/3 and x = -2.

\boxed {x = -\frac{1}{3} , -2}

7 0
3 years ago
in a 3 digit number, the hundreds digit is four more than the units digit, and the tens digit is 3 less than the sum of the othe
Snowcat [4.5K]

Answer: The number is 480.

Step-by-step explanation:

The question states that in a 3 digit number, the hundreds digit is 4 more than the units digit and the tens digit is twice the hundreds digit.

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Find the GCF of the given polynomial.<br> 16a 4 b 4 + 32a 3 b 5 - 48a 2 b 6
astra-53 [7]
      Best Answer:  <span> 8x^6y^5 - 3x^8y^3

GCF of 8 and 3 is 1
GCF of x^6 and x^8 is x^6 the lowest exponent of x.
GCF of y^5 and y^3 is y^3 the lowest exponent of y.
Total GCF = 1 × x^6 × y^3
= x^6y^3

8x^6y^5 - 3x^8y^3
= x^6y^3(8y^2 – 3x^2)
---- </span><span>This is the correct answer!!!</span>
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Starting time:
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Elapsed time: 37 minutes.

We are 43 minutes into 7 o'clock. 37 minutes ago, it would have been 43 - 37, or 6 minutes.

The starting time is 7:06
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3 years ago
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