Jill just got her pilot’s license and wants to rent a plane. The Platinum Plane Company charges $180 plus $92 per hour to rent a plane. The Plastic Plane Company charges $250 plus $78 per hour. For what number of hours would the companies charge the same amount?

Answer: No real number solutions

The complex number solutions are [tex]x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\[/tex]

where [tex]i = \sqrt{-1}[/tex]

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Explanation:

The given equation 3x^2+2x+4 = 0 is in the form ax^2 + bx + c = 0

We have

Let's compute the discriminant.

d = b^2 - 4ac

d = (2)^2-4(3)(4)

d = -44

The result is negative, so there are no real number solutions.

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If you wanted to find the complex valued solutions, then we apply the quadratic formula.

Plug in a = 3, b = 2, c = 4

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(3)(4)}}{2(3)}\\\\x = \frac{-2\pm\sqrt{-44}}{6}\\\\x = \frac{-2\pm\sqrt{-1*4*11}}{6}\\\\x = \frac{-2\pm\sqrt{-1}*\sqrt{4}*\sqrt{11}}{6}\\\\[/tex]

[tex]x = \frac{-2\pm i*2*\sqrt{11}}{6}\\\\x = \frac{-2\pm2i\sqrt{11}}{6}\\\\x = \frac{2(-1\pm i\sqrt{11})}{6}\\\\x = \frac{-1\pm i\sqrt{11}}{3}\\\\x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\[/tex]

Notice in step 3 we have -44 under the square root. The negative value in the square root leads directly to the imaginary number [tex]i = \sqrt{-1}[/tex]

Though the term "imaginary" is a bit unfair and misleading because numbers like -22 are just as imaginary and made up by humans. It just depends on context in which imaginary numbers are useful (eg: with physics or engineering).

Answer:

?

Step-by-step explanation:

Your phone restarts, and then boots up when u hit the on button again. you should not lose any data or anything.

please mark as brainlest.

Answer:

What would happened is all your apps will be closed and it will reboot all of your apps.It won't delete any apps.It's just like an iphone.

Step-by-step explanation:

Brainly Please

Answer:

C

Step-by-step explanation:

The reason it is C is mainly because it is the only line with a negative slope. A negative slope this direct \. It is not A because that is a positive slope (/). It is not B because that line is undefined which means it would look like this x = 2. And D is wrong because that is a zero slope line which looks like this y = 5. So it is C.

Here is a helpful website for problems like this Desmos. com

Answer:

If AB crosses at a right angle, it is called the "perpendicular bisector" of PQ. If it crosses at any other angle it is simply called a bisector. Drag the points A or B and see both types. For obvious reasons, the point F is called the midpoint of the line PQ. See also Angle bisector.

Answer:

2(3x+5) OR (6x+10)

Step-by-step explanation:

8 (2x+3)

8

(4x+5) miles..........1 hour

    x    miles .........(x-1) hour

(4x+5) * (x-1) = 1 * x

in (x - 1)h = x / (4x+5)  miles

Answer:

x = 9

Step-by-step explanation:

Isosceles means that the two sides equal each other

As such, to find the value of x we must equal the two expressions together and isolate the variable

20 = 3x - 7

add 7 to both sides

27 = 3x

divide both sides by 3

9 = x

Answer:

The variable x equals 9.

Step-by-step explanation:

3x - 7 = 20

3x = 27

X = 9

The distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The distance between the two straight parallel lines can be found by finding the difference between the y-intercept of the two lines. Therefore, for the two of the given equation, the value of the y-intercept can be written as,

Y-intercept of -4x + 7y + 9 = 0

-4x + 7y + 9 = 0

7y = 4x - 9

y = (4x - 9)/7

y = 4x/7 - 9/7

y-intercept = -9/7

Y-intercept of y = 4/7x - 9

y = 4/7x - 9

y-intercept = -9

Now, the difference distance between the two lines will be,

Distance = Difference between the y-intercept

               = -9 - (-9/7)

               = -9 + 1.2857

               = 7.71

Hence, the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

Answer:

31

Step-by-step

161/52=can go in 3 times then you bring down the 2 then it becomes 1 because 52 /52 =1

31

1612

-156

52

-52

=0

Answer:The first error was made in step 1

The quotient should be 31

Step-by-step explanation:

What is below the question is what I mean.

Answer:

A unit is a measure of ratio between two quantities. In this instance, the unit is a pound. The ratio you need to take is the price of each fruit and divide it by the number of pounds each fruit has to get a price per pound. See below for solution.

Step-by-step explanation:

A. 4.19 dollars / 2.5 pounds = 1.676 dollars / pound

B. 5.49 dollars / 4 pounds = 1.3725 dollars / pound

C. 6.99 dollars / 5 pounds = 1.398 dollars / pound

D. 9.59 dollars / 6.5 pounds = 1.475 dollars / pound

The lowest is B, the apples.

Answer:

x=-3

Step-by-step explanation:

there are three x's and five one's so the equation is 3x+5

on the other side there are 2 negative x's and 10 negative one's so the equation is -2x-10

set them equal to each other

3x+5=-2x-10

5x=-15

x=-3

Answer:

hey how old are you

Step-by-step explanation:

jnedjed

Answer:

a) 4x

b) 2 + 4y

Step-by-step explanation:

a) 7x - 6x + 3x

To do this, we just need to collect the terms together. They are all coefficients of x, so all we need to do is add the number together.

7 - 6 + 3 = 4

7x - 6x + 3x = 4x

b) 2(1 + 2y)

Here we need to expand the brackets. 2 is shown to be multiplied by 1 +2y:

2(1 + 2y)

= 2*1 + 2*2y

= 2 + 4y

I hope this helps :)

Answer:

8 unit difference x, stays the same on y

Step-by-step explanation:

5 to -3 = 8 units

Answer:Diya

Step-by-step explanation: she’s right because she is black and all black peoples is always right

Answer:

16 hours

Step-by-step explanation:

148 - 68 = 80

80 / 5 = 16

Answer:

f [ x ] = [ x - 3] [ x + 8 ] = x^2 + 5x - 24

Step-by-step explanation:

f (x)=[ x - 3] [ x + 8 ]

x [ x + 8 ] -3[ x + 8 ]

x^2 + 8x - 3x - 24

x^2 + 5x - 24

Answer: B

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Y = x-5 has a slope of 1

3y - 6x = 0 is a clear linear equation with a Y-intercept of 0

y = -5 has no slope

x = 10 is a line going straight up and intersects the point (10, 0)

Which is an undefined slope

Answer:

The coordinates (12,7) would NOT be a solution to the system of linear inequalities shown below.

Step-by-step explanation:

If you do the graphing and you look at all your options of coordinates, (12,7) is the only one that is not in the shaded areas or in the lines of the inequalities. Therefore, (12,7) should be the answer to that question. :)

Answer:

1/6

Multiply 5/12 x 2/5 then cross cancel 12 and 2 and get 6 then cross cancel 5 and 5 to get 1.

Final answer:

1/6

Answer:

x-375

Step-by-step explanation:

First, we find a fourth of $1500.

1/4*1500=375

Then we know that you need to pay $375. We will represent the money right before you pay as x, or any variable you choose.

= x-375

Answer:

Domain: (-∞, -5) (-1, ∞)

Step-by-step explanation:

Note:

For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.

For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.

We need to find the domain of f(x) for which f(x) < 0

From the graph, we can tell:

f(x) < 0 on (-∞, -5) ∪ (-1, ∞)

Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)

Answer:

Second one

Step-by-step explanation:

Polynomial is when there are multiple terms

Second one is the only one that has more than one term and thus is a polynomial

Answer:

-7

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

4x-11=89

4x=89+11

4x=100

x= 25

I hope this will help