Mathematics High School

Solve the quadratic equation 5x^2+x+1=0

Answers

Answer 1

Answer:

No Solution

Step-by-step explanation:

Answer 2

Answer:

[tex]x = \dfrac{-1\pm i\sqrt{19}}{10}[/tex]

Step-by-step explanation:

[tex]~~~~~~5x^2 +x +1 = 0\\\\\implies x = \dfrac{-1\pm\sqrt{1^2 -4 (5)(1)}}{2(5)}\\\\\implies x = \dfrac{-1 \pm \sqrt{-19}}{10}\\\\\implies x = \dfrac{-1\pm i\sqrt{19}}{10}[/tex]

Related Questions

what is three and 2 fourths and minus two and three fourths

Answers

Answer:

The answer is 0.75

Hope this helps!

HELP ON 1 & 2 THANK YOU

Answers

[1] n = -2

We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"

19 decreased by four times a number is 17

19 - four times a number is 17

19 - 4 n is 17

9 - 4n = 17

- 4n = 8

n = -2

[2] x = -1, y = 3, or (-1, 3)

I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.

2y - 2x = 8

2(2x + 5) - 2x = 8

4x + 10 - 2x = 8

2x = -2

x = -1

Now, I will plug this value back into the equation and solve for y.

y = 2x + 5

y = 2(-1) + 5

y = -2 + 5

y = 3

Select the correct solution method below, where x represents Kendall’s money

Answers

The correct solution method of Kendall's money is 7x = 98. Divide both sides by 7. Kendall had $14

How to write equation?

x = Kendall's money

Mateo's money = $98

= 7 × x

The equation:

7 × x = 98

7x = 98

x = 98/7

x = $14

Therefore, the correct answer is option B

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What is the purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects?

Answers

The purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects is discussed below

What is angle of elevation and depression?

If a person stands and looks up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. If a person stands and looks down at an object, the angle of depression is the angle between the horizontal line of sight and the object.

If the pilot looks straight out, that line of sight is horizontal (focused on the distant horizon). The pilot might see the airport's runway, distant buildings, or even mountains in her field of view.

If the pilot looks down at the ground, the one will see the ground crew. The angle of depression is the angle that is formed between the horizontal and the downward looking angle. It is always a downward view, an angle below the horizon.

For the ground crewmember, looking down would not be much help in communicating with the pilot in her cockpit seat. The crewmember will look up, above the horizontal line, to see the pilot. The ground crewmember's angle of vision if an angle of elevation, the angle above the horizon.

Angle of elevation or depression in a survey can be defined as the angle subtended between the line of sight passing through the scope and the horizontal axis of the instrument.

Engineers, landscapers, architects all use trigonometry in their everyday life to help them efficiently and safely create or design something new.

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Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.
a. (f+g)(x)

b. (f-g)(x)

Answers

feel free to ask me if you didn't understand a part

Answer:

a) (f + g)(x) = 8x + 2

b) (f - g)(x) = 4x - 6

Step-by-step explanation:

Given:

f(x) = 6x - 2g(x) = 2x + 4

a) Find (f + g)(x):

a. (f + g)(x) = f(x) + g(x)

⇒ (f + g)(x) = (6x - 2) + (2x + 4)

⇒ (f + g)(x) = 6x + 2x - 2 + 4

⇒ (f + g)(x) = 8x + 2

b) Find (f - g)(x):

b. (f - g)(x) = f(x) - g(x)

⇒ (f - g)(x) = (6x - 2) - (2x + 4)

⇒ (f - g)(x) = 6x - 2x - 2 - 4

⇒ (f - g)(x) = 4x - 6

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Help me out please….

Answers

Answer:

There two images below,

one is the final product and one of how it was reflected

Help me I’m confused

Answers

The properties used is [tex]\sqrt[3]{4^{5} } = (4^{5})^{\frac{1}{3} } = 4^{\frac{5}{3} }[/tex]

the correct option is (A).

What is exponents and power?

power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

Given:

[tex]4^{\frac{5}{3} } = \sqrt[3]{4^{5} }[/tex]

We can use the following property

[tex]\sqrt[3]{4^{5} } = (4^{5})^{\frac{1}{3} } = 4^{\frac{5}{3} }[/tex]

By using the property we can find the answer.

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Express cos K as a fraction in simplest terms.
9
M
15
Answer: cos K=
K
Submit Answer

Answers

Answer:

4/5

Step-by-step explanation:

In a right triangle such as this one

cos (angle) = adjacent leg / hypotenuse

cos(k) = KL / 15

You will need to find the leg length KL using Pythagorean Theorem

15^2 = 9^2 + (KL)^2 KL = 12

then cos k = 12/15 = 4/5

i can figure out
12 is greater than four times a number g

Answers

Answer:

"Find g to make this statement true".

12 > 4 • g

The answer of the given expression is 1 & 2.

Concept:Firstly, convert word form into numerical expression.Then Simplify the given expression.

How to solve the given question?Convert word form into numerical expression.
12 > 4gSimplifying the expression
g < [tex]\frac{12}{4}[/tex] = 3
∴ g < 3If g is an natural number , g = 1 & 2

Thus, the answer of the given expression is 1 & 2.

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(5√3-√27)^3
how do you prove that this is an integer?

Answers

Keys:

[tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]

Step-by-step explanation:

[tex]\left(5\sqrt{3}-\sqrt{27}\right)^3\\\5\sqrt{3}-\sqrt{27}^3=\left(2\sqrt{3}\right)^3\\= 2\sqrt{3}\\\left(2\sqrt{3}\right)^3=2^3\left(\sqrt{3}\right)^3\\=2^3\left(\sqrt{3}\right)^3\\2^3=8\\=8\left(\sqrt{3}\right)^3\\=8\cdot \:3\sqrt{3}\\8\cdot \:3=24\\=24\sqrt{3}[/tex]

Answer:

It is not an integer.

Step-by-step explanation:

[tex](5\sqrt{3} -\sqrt{27} )^3\\\\=(\sqrt{3} *(5-3))^3\\\\=8*3*\sqrt{3} \\\\=24\sqrt{3} \\[/tex]

In circle B below, diameter RT, radius BE, and chord RE are drawn.
If m2TRE = 15° and BE = 9, then the area of sector EBR is

Answers

The area of sector EBR in the given diagram attached below is: 33.75π units².

What is the Area of a Sector?

Area = θ/360º × πr²

Given the following:

m∠TRE = 15° BE = 9

Measure of arc TE = 2(m∠TRE) = 2(15) [inscribed angle theorem]

Measure of arc TE = 30°

Arc RE = 180 - arc TE = 180 - 30 [semicircle]

Arc RE = 150°

m∠EBR = Arc RE = 150°

Area of sector EBR = m∠EBR/360 × π(BE²)

Area of sector EBR = 150/360 × π(9²)

Area of sector EBR = 33.75π units²

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What is the approximate length of minor arc JH? Round to the nearest tenth of a centimeter.

3.5 cm
6.9 cm
21.6 cm
46.8 cm

Answers

The length of the arc is 3.5 cm

How to determine the arc length?

The attached image completes the question

The given parameters are:

Diameter, d = 16Central angle, x = 25

The length of the arc is calculated as:

[tex]L = \frac{x}{360} * \pi d[/tex]

So, we have:

[tex]L = \frac{25}{360} * 3.14 * 16[/tex]

Evaluate the product

L = 3.5cm

Hence, the length of the arc is 3.5 cm

Answers

The graph of the given quadratic equation is graph C.

How to sketch the quadratic equation?

Remember that for a quadratic equation with a vertex (h, k), the vertex form is given by:

[tex]y = a*(x - h)^2 + k[/tex]

Where a is the leading coefficient, in this case we have a = 1.

Here we have:

[tex]y = (x - 3)^2 - 25[/tex]

So the vertex is at (3, -25).

From that function we can also get the y-intercept, that is given by evaluating the function in x = 0, so we get:

[tex]y = (-3)^2 - 25 = -16[/tex]

So this function passes through (3, -25) and (0, -16). The sketch can be seen below.

Notice that from the given options only the third graph intercepts the y-axis on the negative region, so from that, we conclude that the third graph is the correct option.

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What is the sum of the interior angles of a regular polygon with 12 sides?
A. 1260
B. 1800
C. 2160
OD. 360

Answers

The sum of the interior angles of a regular polygon of 12 sides is 1800°

What is a polygon?

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the all the interior angles of a polygon with 'n' number of sides is given by the formula,

Sum of all the angles = (n-2) × 180°

Since the number of sides in the polygon is 12, the sum of the angles will be,

Sum = (12-2) × 180° = 10 × 180° = 1800°

Hence, the sum of the interior angles of a regular polygon of 12 sides is 1800°.

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answer this fully! i need to know what x equals

Answers

answer this fully! i need to know what x equals

X equal minus 0.5

Solve below functions word problem ASAP

Answers

The revenue function when the assumed values and parameters are used is F(x) = (60 + 8x)(250 - 30x)

The assumed valuesTicket price = $60 per ticketPeople = 250Increase in price = 8Decrease in people = 30

The revenue function

Let the number of people be x, and the revenue function be F(x).

Using the assumed values, the revenue function is:

F(x) = (60 + 8x)(250 - 30x)

The maximum funds

We have:

F(x) = (60 + 8x)(250 - 30x)

Expand

F(x) = 15000 - 1800x + 2000x - 240x²

Differentiate the function

F'(x) = -1800 + 2000 - 480x

Evaluate

F'(x) = 200 - 480x

Set to 0

200 - 480x = 0

This gives

480x = 200

Divide both sides by 480

x = 0.42

Substitute x = 0.42 in F(x)

F(x) = (60 + 8 * 0.42)(300 - 30* 0.42)

Evaluate

F(x) = 18210

Hence, the maximum revenue is $18210, at a rate of $0.42 per person.

Would they raise $5000?

We start by setting F(x) to 5000.

So, we have:

15000 - 1800x + 2000x - 240x² = 5000

Evaluate the like terms

10000 + 200x - 240x² = 0

Using a graphing tool, we have:

x = 6.89

Hence, they would reach their goal at a rate of $6.89 per ticket.

The cost function

We have:

People = x

Cost per person = 20

So, the cost function is:

C(x) = 20x

The profit function

Profit is calculated using:

P(x) = F(x) - C(x)

So, we have:

P(x) = 15000 - 1800x + 2000x - 240x² - 20x

Evaluate

P(x) = 15000 + 180x - 240x²

The break even price

This is the point where P(x) = 0.

So, we have:

15000 + 180x - 240x² = 0

Using a graphing tool, we have:

x = 8.29

Hence, the break even price is $8.29

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Do these two statements contradict
each other?
aurt is scalene
and aurt is obtuse.
yes
no

Answers

I don't think so because they're different things!

11. 7b + (4b - 6)

12. 8d2 + (6d2 - 4d)

13. (5x2 + 4) + (-3x2 - 4)

14. [-4x + (10 - 5x)] + 5x

15. 8 + [5 + (6 + x)]

16.

+3c - 7d

- 2c + 5d

- c + 8d

+4c - 6d

17.

3a + 8b - 5c

6a - 9b + 4c

-7a + b + 2c

18.

+6p - 3q + z

- 3p + 2q - z

- p + 00q___

Answers

Answer: 11. [tex]11b-6[/tex]

12. [tex]14d^2-4d[/tex]

13. [tex]2x^2[/tex]

14. [tex]-4x+10[/tex]

15. [tex]19+x[/tex]

16. [tex]4c[/tex] (all together, the problems aren't entered correctly)

17. Nothing further can be done with these equations. Please check the expression entered.

18. [tex]2p-q[/tex] (All together, the problems aren't entered correctly)

Step-by-step explanation:

11.

[tex]\quad \:a+\left(b+c\right)=a+b+c[/tex]

[tex]7b+\left(4b-6\right)=7b+4b-6[/tex]

[tex]=7b+4b-6[/tex]

[tex]7b+4b=11b[/tex]

[tex]=11b-6[/tex]

12.

[tex]2d*(7d-2)=14d^2-4d[/tex]

[tex](8 * (d^2)) + ((2*3d^2) - 4d)[/tex]

[tex]2^3d^2 + (6d^2 - 4d)[/tex]

[tex]14d^2 - 4d = 2d * (7d - 2)[/tex]

13.

[tex]((5*(x^2))+4)+((0-3x^2)-4)[/tex]

[tex](5x^2 + 4) + (-3x^2 - 4)[/tex]

[tex]=2x^2[/tex]

14.

[tex]-4x+10-5x+5x[/tex]

[tex]-4x-5x+5x+10[/tex]

[tex]-4x-5x+5x=-4x[/tex]

[tex]=-4x+10[/tex]

15.

[tex]8+5+6+x[/tex]

[tex]\:8+5+6=19[/tex]

[tex]=19+x[/tex]

Answer: 2a + c is the answer for #17 and #18 is 2p.

17.

3a + 8b - 5c

6a - 9b + 4c

-7a + b + 2c =

2a + c

18.

+6p - 3q + z

- 3p + 2q - z

- p + q =

Step-by-step explanation:

find the length for point a to point
b

Answers

On what worksheet exactly?

Perform the indicated operation

Answers

Answer:

Step-by-step explanation:

If you draw all of the diagonals from one vertex of a regular hexagon, how
many triangles do you make?

Answers

If you draw all of the diagonals from one vertex of a regular hexagon we make 5 triangles. This is further explained below.

What is a hexagon?

Generally, the hexagon is simply defined as the hexagon is a polygon with six sides. to be considered a hexagon, the form must have six sides, all of which must be closed.

In conclusion, We get five triangles if we draw the diagonals of a regular hexagon starting at a single vertex.

Answers

[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

Given f(x)=-x+5, find f(-3).

[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

We have the function

[tex]\longmapsto\sf{f(x)=-x+5}[/tex]

We need to find

[tex]\longmapsto\sf{f(-3)=}[/tex]

What we need to do:-

Replace x with -3:-

[tex]\longmapsto\sf{f(x)=-(-3)+5}[/tex]

Simplifying,

[tex]\longmapsto\sf{f(x)=3+5}[/tex]

(which is the exact same thing as 5-3)

Henceforth, We conclude that the answer is

[tex]\longmapsto\sf{f(-3)=8}[/tex]

Good luck with your studies. [tex]\ddot\smile[/tex]

#TogetherWeGoFar ~

[tex]\rule{300}{1}[/tex]

Hey there!

Find f(-3) :

Answer :

f(-3) = 8 ✅

Explanation :

f(x) = -x + 5

>> Substitute -3 for x in f(x) :

f(-3) = -(-3) + 5

f(-3) = 3 + 5

f(-3) = 8

Therefore, your answer is f(-3) = 8

Answers

The value of the function (f.h)(x) is 96x⁵ + 132x⁴ + 78x³ + 18x²

How to solve function?

f(x) = 3x² + 4x³ + 8x⁴

g(x) = -3x + 12x² - 5x³

h(x) = 12x + 6

Therefore,

(f.h)(x) = f(x).h(x)

Hence,

f(x).h(x) = (3x² + 7x³ + 8x⁴)(12x + 6)

f(x).h(x) = 36x³ + 18x² + 84x⁴ + 42x³ + 96x⁵ + 48x⁴

(f.h)(x) = 96x⁵ + 84x⁴ + 48x⁴ + 36x³ + 42x³ + 18x²

(f.h)(x) = 96x⁵ + 132x⁴ + 78x³ + 18x²

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Volume of a triangular prism with numbers 3 4 5 6

Answers

Answer:

Step-by-step explanation:

V=14h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4aBase sidebBase sidecBase sidehHeight

a scientist notes that the number of bacteria in a colony is 50.3 hours later, she notes that the number of bacteria has increased to 80. if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119?

Answers

Answer:

16.8 hours

Step-by-step explanation:

An exponential population increase can be modeled by the function ...

p(t) = a·b^(t/p)

where 'a' is the initial value (at t=0), b is the multiplier in time period p.

setup

The colony increased by a factor of b = 80/50 = 1.6 in p = 3 hours. Since we want to find the additional time to reach a population of 1119, the initial population we're working with is 80, not 50.

p(t) = 80·1.6^(t/3)

1119 = 80·1.6^(t/3)

solution

Solving this for t, we find ...

1119/80 = 1.6^(t/3) . . . . . . . . . . . . divide by 80

log(1119/80) = (t/3)log(1.6) . . . . . take logarithms

t = 3·log(1119/80)/log(1.6) . . . . . divide by the coefficient of t

t ≈ 16.8 . . . . hours

It will take about 16.8 more hours for the population to increase from 80 to 1119.

Solve the equation by completing the square.

0 = 4x2 − 64x + 192

A.
x = -12, -4
B.
x = 4, 12
C.
x = -8, 24
D.
x = -24, 8

Answers

Answer:

Step-by-step explanation:

Find the values of the six trig functions for theta on each triangle.

Answers

Step-by-step explanation:

Select four types of data demographers study to make predictions.

birth rate

death rate

employment

income

marriage

migration

pushpa Raj

kgf chapter 2

VOLINCE VOLINCE VOLINCE

RRR

Parville surveys every 15th person in the
town to see if there is support for a new
library and there are 40,161. How many people are surveyed?

Answers

Answer:

2677.4

Step-by-step explanation:

40161/15

HELP ASAP ILL MAKE YOU THE BRAINIEST
find the value of c

Answers

Answer: 16.2364298 approximately

Work Shown:

tan(angle) = opposite/adjacent

tan(61) = x/9

x = 9*tan(61)

x = 16.2364298 approximately

Your calculator needs to be in degree mode. One quick way to check is to type in something like tan(45) and the result should be 1.

An artist is designing a website to showcase his 15-inch-wide paintings. The website will include scaled-down images of the paintings called thumbnails. For ease of viewing and to keep the thumbnail images large enough to show some detail, the artist decides to put three thumbnail images in a row so that any two adjacent images are separated by a space of 40 pixels, as shown in the figure above. If the website is 800 pixels wide, what should be the scaled size (in pixels per inch of painting) of the thumbnails?

Answers

The scaled size of the thumbnails is 16 pixels per inch of painting

How to determine the scaled size?

The given parameters are:

Width = 15 inchesWebsite = 800 pixels

The space between adjacent images is 40 inches.

Given that there are two spaces, the remaining space is:

Remaining = 800 - 2 * 40

Remaining = 720

Given that there are three samples of image, the width of each image is:

Image = 720/3

Divide

Image = 240 pixels

The scaled size is then calculated using:

Scale = Image scale width/actual width

This gives

Scale = 240/15

Evaluate

Scale = 16

Hence, the scaled size of the thumbnails is 16 pixels per inch of painting