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3 years ago

Which represents the solutions of the graphed system of equations, y=x^2-2x and y=-2x-1

Mathematics

1 answer:

pickupchik [31]3 years ago

7 0

Answer:

No real roots. Imaginary roots would be x = plus or minus i .

Step-by-step explanation:

Eliminate y for now by equating y=x^2-2x and y=-2x-1. Then:

x^2 - 2x = -2x - 1

Add 2x to both sides. Then x^2 = -1.

This is NO SOLUTION, since the square root of -1 would be imaginary.

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5x^2-2x=2<br>help plsmmm

Yuki888 [10]

Answer:

Presumably you're solving for x here? Without further information we'll assume that.

With that in mind, x is approximately equal to 0.86 and -0.46

Step-by-step explanation:

Let's start by putting it in the usual ax² + bx + c format.

$5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\$

let's solve it. First we'll multiply both sides by five, making the first term a perfect square:

$25x^2 - 10x - 10 = 0\\$

Now we'll add 11 to both sides:

$25x^2 - 10x + 1 = 11\\$

Which makes the left side a perfect square:

$(5x - 1)^2 = 11$

And now we can solve for x:

$(5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}$

Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.

That gives us two answers:

$x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86$ $x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46$

7 0

3 years ago

If j = h and k = m, then which expression represents the value of g?

iVinArrow [24]

Answer: answer is in picture. :)

Step-by-step explanation:

6 0

3 years ago

Finish the sequence<br> 1,1,2,3,5,8,_,_,_

Papessa [141]

This is a Fibonacci sequence
1; 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
next terms:
5 + 8= 13
8 +13 = 21
13 + 21 = 34

3 0

3 years ago

Read 2 more answers

Simplify the expression.<br><br> 6x - 3 -9x - 2 Like terms

Alexeev081 [22]

6x-3-9x-2

6x-9x = -3x

-3-2 = -5

the the equation is: -3x-5

5 0

3 years ago

What is x2 = 10. Solve the equation

sukhopar [10]

Answer:

x=5

Step-by-step explanation:

x2=10

x=10/2

x=5

3 0

3 years ago