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3 years ago

Can someone help me with this and explain it?

Mathematics

1 answer:

Reika [66]3 years ago

6 0

Polynomials, my favorite! Alright I gotcha, with this you’re going to take each on of the problems into sections. For example: (x3 + 4x^2) is 9. You’ll do that with each one of the problems, so the answer here would be G

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What fractional part of the day do you spend sleeping if you sleep 8 hours?

fomenos

You sleep 1/3 of the day.

5 0

3 years ago

When the solutions are going to be complex, which methods can be used to solve quadratic equations?

yKpoI14uk [10]

You could complete the square to state the vertex.
You could use the quadratic equation to find the roots (which are complex).

Try an example that will require both.

y = x^2 + 2x + 5

Step One
Get the graph. That's included below.

Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)

y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4

The vertex is at (-1,4)

Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 1
b = 2
c = 5

$\text{x = }\dfrac{ -2 \pm \sqrt{2^{2} - 4*1*5 } }{2}$
$\text{x = }\dfrac{ -2 \pm \sqrt{4 - 20 } }{2}$
$\text{x = }\dfrac{ -2 \pm \sqrt{-16 } }{2}$
$\text{x = }\dfrac{ -2 \pm 4i }{2}$
x = -1 +/- 2i

x1 = -1 + 2i
x2 = -1 - 2i And we are done.

7 0

3 years ago

When i was 18 years old, my sister was half my age. Now I am 82 years. How old is my sister now?

iVinArrow [24]

Answer:

$41 \: \: \: years \: \: \: old$

Step-by-step explanation:

$me \: \: \: \: \: \: \: \: \: \: \: sis \\ 18 \: \: \: \: \: \: \: \: \: \: \: \: 9 \\ 82 \: \: \: \: \: \: \: \: \: \: \: x \\ \\ use \: \: cross \: \\ multipaction \\ \\ 18x = 82 \times 9 \\ 18x = 738 \\ \frac{18x}{18} = \frac{738}{18} \\ x = 41$

4 0

3 years ago

Read 2 more answers

How to <br> Graph y= 2/3x - 4

Alecsey [184]

Step-by-step explanation:

y iterscept is -4 slope 2/3 rise over run

4 0

3 years ago

X+2y=-1 and 4x-4y=20 solve by substitution

Illusion [34]

To do this problem you would first need to factor out a variable, which in this case I would want to do the first equation because it is isolated. Now the equations would look like this:

x = -2y - 1

4x - 4y = 20

Since we know that x is now equal to -2y - 1 we can plug it in to the x value in the second equation:

4 (-2y -1) - 4y = 20

-8y -4 - 4y

-12y - 4 = 20

-12y = 24

y = -2

Now that we know the y value plug the y value to one equation to find the x, I will be using the first equation

x + 2(-2) = -1

x - 4 = -1

x = 3

Solutions:

y = -2

x = 3

8 0

3 years ago