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marshall27 [118]
3 years ago
11

Find a quadratic equation whose roots are 1.5 +√2 and 1.5-√2expressing it in the form of ax^2+bx+c+c=0 where a,b and c are integ

ers with step by step explanations
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs

We have r=1.5+√2,  s=1.5 -√2 so r+s = 3 and

rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25

f(x) = x² - 3x + -.25

For integer coefficients we mulitply by 4,

g(x) = 4f(x) = 4x² - 12x - 1

Answer:  4x² - 12x - 1 = 0

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JulijaS [17]
Answer:11.23 billion message me if you need explanation
4 0
3 years ago
Need some help with this one please
Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

  • Choice A is something we'll come back to
  • Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
  • Choice C is false for similar reasons as choice B. The slope should be negative.
  • Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

------------

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

7 0
3 years ago
Fill in the table using this function rule y=5x-3
Rudiy27

Answer:

-2, -13

0, -3

2, 7

4, 17

Step-by-step explanation:

To fill out the table, substitute the table x-values into the equation and the y-values will fill the table.

y = 5x - 3

y = 5(-2) - 3

y = -10 - 3

y = -13

This means the table value corresponding to -2 should be -13.

y = 5x - 3

y = 5(0) - 3

y = 0 - 3

y = -3

This means the table value corresponding to 0 should be -3.

y = 5x - 3

y = 5(2) - 3

y = 10 - 3

y = 7

This means the table value corresponding to 2 should be 7.

y = 5x - 3

y = 5(4) - 3

y = 20 - 3

y = 17

This means the table value corresponding to 4 should be 17.

6 0
2 years ago
Alicia and 3 of her friends entered a robotics competition. The rules
natima [27]

Answer:

A. x/4 = 12

Step-by-step explanation:

Alicia and 3 of her friends are 4 people in total. To find what they spent, you do 4 • 12 = x, which is the same as x/4 = 12

4 0
3 years ago
Will give brainliest to the 1st right answer!!!!
monitta

Step-by-step explanation:

c is the answer

can i have brainliest

3 0
3 years ago
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