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Art [367]
3 years ago
14

The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic p

olynomial in standard form.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

  f(x) = 3x^2 -21x +36

Step-by-step explanation:

The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...

  f(x) = 3(x -3)(x -4)

Multiplying this out, we get ...

  f(x) = 3(x^2 -7x +12)

  f(x) = 3x^2 -21x +36

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A small box measures 7 in. by 10 in. by <br> 3/4 in. high. Find the volume of the box.
vitfil [10]

Answer:

Volume = 52.5

Step-by-step explanation:

volume of a rectangular 3d shape can be calculated by length*width*height. In this case:

7*10*0.75 = 52.5

8 0
3 years ago
Temperature Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane
gtnhenbr [62]

Answer:

  29.4 °F

Step-by-step explanation:

There are ten thousands in 10,000. (Amazing, eh?) So, the temperature will drop by 10 × 1.9 °F = 19 °F.

A drop of 19 °F from 48.4 °F is ...

  48.4 -19 = 29.4

The temperature at 10,000 ft will be 29.4 °F.

8 0
2 years ago
HELP PLS Simplify an expression (2x-2x^4)-(2x+2x^4)
Naily [24]
2x-2x∧4-2x-2x∧4
-4x∧4
5 0
3 years ago
20 pts and brainliest
lions [1.4K]

The two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.

Hence, option C is the correct answer.

<h3>What are the solutions to the quadratic equation?</h3>

Given the equation; 9x² + 4 = 0

First, we subtract 4 from both sides.

9x² + 4 = 0

9x² = -4

x² = -4/9

Take the square roots of both sides

x = ±√(-4/9)

Rewrite -4/9 as (2i/3)²

x = ±√(2i/3)²

x = ±(2i/3)

Hence,

x = 2i/3, -2i/3

Therefore the two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.

Hence, option C is the correct answer.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

6 0
2 years ago
Diane reed had office supply sales of $3,285 this month. this is a 78% of last months supply sales. what was the amount of last
Hoochie [10]

To solve this problem, we can set up an equation, letting the unknown value of last month's supply sales be represented by the variable x.

First, we must convert 78% to its decimal equivalent, by dividing 78/100. This is because percentages are parts of a whole 100 percent.

78/100 = 0.78

Now, we are ready to set up our equation, using our knowledge that the word "of" refers to multiplication in mathematics.

3,285 = 0.78x

To solve our equation, we must divide both sides of the equation by 0.78 to get the variable x alone on the right side of the equation.

x = 4211.53846154

This means that last month's supply sales were about $4,211.54 (we round the last digit up because 8 is greater than 5).

Hope this helps!


8 0
3 years ago
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