solve this: F(x) = 1/x+6

Answers

Answer 1

Answer:

Step-by-step explanation:(F)=1/F+6

We move all terms to the left:

(F)-(1/F+6)=0

Domain of the equation: F+6)!=0

F∈R

We get rid of parentheses

F-1/F-6=0

We multiply all the terms by the denominator

F*F-6*F-1=0

We add all the numbers together, and all the variables

-6F+F*F-1=0

Wy multiply elements

F^2-6F-1=0

a = 1; b = -6; c = -1;

Δ = b2-4ac

Δ = -62-4·1·(-1)

Δ = 40

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

F1=−b−Δ√2aF2=−b+Δ√2a

The end solution:

Δ‾‾√=40‾‾‾√=4∗10‾‾‾‾‾‾√=4√∗10‾‾‾√=210‾‾‾√

F1=−b−Δ√2a=−(−6)−210√2∗1=6−210√2

F2=−b+Δ√2a=−(−6)+210√2∗1=6+210√2


Related Questions

Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound. How much did Yasmin pay for the peaches?
O $8.05
O $10.00
O $11.95
$19.50

Answers

Answer:

10 x 1.95 = 19.50 so D is your answer, $19.50

if Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound then Yasmin pay $19.50 for the  10 pounds of peaches.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Yasmin buys 10 pounds of peaches

Peaches cost $1.95 per pound

we need to calculate the amount has to pay by Yasmin for the peaches.

1 pound of peaches =$1.95

We need to calculate for 10 pounds.

Use multiplication to find the amount.

10×1.95

$19.5

Hence, if Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound then Yasmin pay $19.50 for the  10 pounds of peaches.

To learn more on Equation:

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round 2,227 to the nearest ten​

Answers

The answer is 2230. You have to round 27 to the nearest ten and it’s 30 so it’s 2230

Jason traveled to Portland by carGoing there took 7 hours, and the return trip lasted 5 hours. Jason averaged a speed of 63 mph while returningFind the average speed of the trip there

Answers

Answer:

4.57 hours

Step-by-step explanation:

Simplify
56
to lowest terms.
64

Answers

Answer:

7/8 is the simplified fraction for 56/64 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 56/64 by using the prime factorization method.

Step-by-step explanation:

I NEED HELP WITH THIS QUESTION

Answers

Answer:

A) 11

It should be right :)

Answer:

11

Step-by-step explanation:

Find g(-6) when g(x) = x+3/x-1

Answers

Answer:

.43

Step-by-step explanation:

I just plugged in -6 into all the x's

hope this is right and helps :)

What does (X^2)^3 equal

Answers

In this case you would multiply two and three since the 2 was in a parentheses

Your answer is X^6

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

Answers

Answer:

x= -5

Step-by-step explanation:

3(5x+10)+10=6x-(x+10)

15x+30+10=6x-x-10

15x+40=5x-10

15x-5x=-10-40

10x=-50

x=-5

Answer:

x= -5

Step-by-step explanation:

trustttt mannn

Answer the question. To determine the answer.

Answers

Answer:

[tex] m = \frac{8}{9} [/tex]

Step-by-step explanation:

Given:

[tex] (\frac{6}{2}, \frac{2}{3}) [/tex] and [tex] (2\frac{1}{2}, -\frac{2}{3}) [/tex]

Required:

Slope

SOLUTION:

Formula for slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (\frac{6}{2}, \frac{2}{3}) = (x_1, y_1) [/tex]

[tex] (2\frac{1}{2}, -\frac{2}{3}) = (x_2, y_2) [/tex]

[tex] m = \frac{-\frac{2}{3} - \frac{2}{3}}{\frac{3}{2} - \frac{6}{2}} [/tex]

[tex] m = \frac{\frac{-2 - 2}{3}}{\frac{3 - 6}{2}} [/tex]

[tex] m = \frac{\frac{-4}{3}}{\frac{-3}{2}} [/tex]

[tex] m = \frac{\frac{-4}{3}}{\frac{2}{-3}} [/tex]

[tex] m = \frac{-4(2)}{3(-3)} [/tex]

[tex] m = \frac{-8}{-9} [/tex]

[tex] m = \frac{8}{9} [/tex]

the sum of two numbers is 30 and their difference is 20. What are the two numbers?

Answers

[tex]\huge\pink{Answer}[/tex]

Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 30. In other words, x plus y equals 30 and can be written as equation A:

x + y = 30

The difference between x and y is 20. In other words, x minus y equals 20 and can be written as equation B:

x - y = 20

Now solve equation B for x to get the revised equation B:

x - y = 20

x = 20 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 30

20 + y + y = 30

20 + 2y = 30

2y = 10

y = 5

Now we know y is 5. Which means that we can substitute y for 5 in equation A and solve for x:

x + y = 30

x + 5 = 30

X = 25

Summary: The sum of two numbers is 30 and their difference is 20. What are the two numbers? Answer: 25 and 5 as proven here:

Sum: 25 + 5 = 30

Difference: 25 - 5 = 20

ꜰᴏʟʟᴏᴡ ᴍᴇ❤

7. Given :
Point B is the midpoint of AC. Point C is the midpoint of BD.
Prove:
AB=CD.
A
B
C С
D

Answers

Answer:

c

Step-by-step explanation:

Answer:false

Step-by-step explanation:

What is the LCD of 8/15 and 3/5?

Answers

Answer:  15

The denominators are 15 and 5

The LCM, or lowest common multiple, of 15 and 5 is 15.

Note how 15 is a multiple of 5.

We can write 3/5 as 9/15 after multiplying top and bottom by 3.

what is the 7th term ? 160,136,112,88.....​

Answers

Answer:

The pattern goes by subtracting -24 from the previous number

1st - 160

2nd - 136

3rd - 112

4th - 88

5th - 64

6th - 40

7th - 16

The 7th term is 16.

The slope of the line passing through the points (2,3) and (4, y) is
3/2. What is the value of y?

Answers

Answer:

6

Step-by-step explanation:

y2-y1       y-3     =3     what -3 =3?    6 :)

x2-x1       4-2    = 2

slope is 3/2

A rectangle has perimeter 182 in. and length 52 in. What is the width

Answers

Answer:

the width is 39 in

Step-by-step explanation:

length is 52. there are two "length" sides witch = 104

the perimiter is all sides added. 182-104= 78

78= both of the width sides so 78 divide by 2 = 39in

HelpI don’t understand graphs and I will mark brainliest for the correct answer

Answers

Answer:

G(x)=x^3-1

Step-by-step explanation:

Надеюсь тебе это поможет

-5 1/2 + 7 3/4 value of the expression

Answers

Answer:

2 1/4

Step-by-step explanation:

-11/2+7 3/4

-11/2 + 31/4

= 9/4

= 2 1/4

Answer:

2 1/4.

Step-by-step explanation:

-5 1/2 + 7 3/4

= 7 3/4 - 5 1/2

= 7 - 5 + 3/4 - 1/2

= 2 + 1/4

=  2 1/4.

if the slope of a line is 4/3. I would count

Answers

Answer:

1.3

Step-by-step explanation:

Just put it in the caculator

Answer:

Up 4 and right 3

Step-by-step explanation:

Rise over run. Rise is either up(positive) or down(negative). Run is either left(negative) or right(positive).

What is the result of the division?
507 - 5?
11 R2
12 R2
101 R2
102 R2

Answers

Answer:

101 R2

Step-by-step explanation:

i just took that test :D

PLEASE HELP!!
Which city did you pick and why? What is one common boating hazard in this city?

Answers

The examples of boating hazard include dams, sun stroke, and bad weakther.

How to illustrate the information?

It should be noted that a hazard simply means a source of potential damage that leads to a adverse effect on one's health.

In this case, the common boating hazards that can be witnessed include fast changing weather, sun stroke and current.

Learn more about hazard on:

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6{[(600x10²)]} - [(3x5)x2]+5-10+2=

Answers

Answer:

359967

Step-by-step explanation:

6{[(600 x 10²)]} - [(3 x 5) x 2] + 5 - 10 + 2 =

= 6(600 x 100) - [15 x 2] - 5 + 2

= 6(60000) - 30 - 5 + 2

= 360000 - 35 + 2

= 359965 + 2

= 359967

determine the intercepts of the line

x- intercept (_,_)
y- intercept (_,_)

Answers

Answer:

x-intercept (-7.5, 0)

y-intercept (0, 5.5)

Hope this helps!

HELP TO BECOME BRAINLY PLEASE


Find the perimeter of the figure above. Round each side to the nearest tenth BEFORE adding the sides.

Answers

Answer:33.2

Step-by-step explanation:

7.1 + 9.5 + 9.5 + 7.1

you have to find the distance for each point and add them all up.

Let f(x)=(5)x+12. Evaluate f(0) without using a calculator.

Answers

Answer:

f(0) = 12

Step-by-step explanation:

You want to substitute 0 for x

f(0) = 5(0) + 12

f(0) = 12

Answer:

13

Step-by-step explanation:

Substitute 0 for x and simplify. f(0)=(5)0+12=1+12=13.

the slant asymptote of f(x)=(x^2-4x+1)/(2x-3)

Answers

Answer:

y=1/2x-5/4

I hope this helps you and I hope you do well on whatever you are working on.

Answer:

True

Step-by-step explanation:

I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math
Please do step by step and pick reasoning for each
here are reasonings to pick from:

verticle angles

Linear pair (or triples)

Congruent angles

sum of angles in a triangle

sum of angles in a quadrilateral

Base angles of an isosceles triangle

Angle bisector definition

corresponding angles

alternate interior angles

alternate exterior angles

same - side interior angles

angle addition postulate

angle subtraction postulate

perpendicular lines form right angles

Answers

Solution :-

mAGF + mCGE + m∠AGC = 180° ( linear pair )

84° + 64° + m∠AGC = 180°

148° + m∠AGC = 180°

m∠AGC = 180 - 148

m∠AGC = 32°

As m∠AGC and m∠DGB are vertically opposite angles , their angle measure will be equal .

Which means :-

m∠AGC = m∠DGB ( vertically opposite angles )

m∠DGB = 32°

Therefore :-try:- m∠DGB = 32° Reason :-vertical angles

In the diagram shown, if m<AGF  =  64°, m<CGE  =  84°, then m<DGB    =    32°

From the figure shown:

m<AGF  =  64° (Given)

m<CGE  =  84° (Given)

m<AGF   =  m<BGE  (Vertically opposite angles are equal)

m<AGF  =  m<BGE   =  64°

m<CGE  +  m<BGE  +  m<DGB   =  180° (Sum of angles on a straight line)

84   +  64  +   m<DGB   =   180

148   +   m<DGB    =   180

m<DGB    =   180   -  148

m<DGB    =    32°

Therefore, in the diagram shown, if m<AGF  =  64°, m<CGE  =  84°, then m<DGB    =    32°

Learn more here: https://brainly.com/question/68367

Before 1918, approximately 40% of the wolves in a region were male, and 60% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 60% of wolves in the region are male, and 40% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male

Answers

Answer:

P(≥ 7 males) = 0.0548

Step-by-step explanation:

This is a binomial probability distribution problem.

We are told that Before 1918;

P(male) = 40% = 0.4

P(female) = 60% = 0.6

n = 10

Thus;probability that 7 or more were male is;

P(≥ 7 males) = P(7) + P(8) + P(9) + P(10)

Now, binomial probability formula is;

P(x) = [n!/((n - x)! × x!)] × p^(x) × q^(n - x)

Now, p = 0.4 and q = 0.6.

Also, n = 10

Thus;

P(7) = [10!/((10 - 7)! × 7!)] × 0.4^(7) × 0.6^(10 - 7)

P(7) = 0.0425

P(8) = [10!/((10 - 8)! × 8!)] × 0.4^(8) × 0.6^(10 - 8)

P(8) = 0.0106

P(9) = [10!/((10 - 9)! × 9!)] × 0.4^(9) × 0.6^(10 - 9)

P(9) = 0.0016

P(10) = [10!/((10 - 10)! × 10!)] × 0.4^(10) × 0.6^(10 - 10)

P(10) = 0.0001

Thus;

P(≥ 7 males) = 0.0425 + 0.0106 + 0.0016 + 0.0001 = 0.0548

2. What is the x-intercept of the line
5x – 3y = 15? Write your answer as an ordered
pair.

Answers

Answer:

The x-intercept of the line is (3,0)

Step-by-step explanation:

5x - 3y = 15

5x - 3(0) = 15

5x - 0 = 15

(add 0 on both sides the cancel out -0)

5x = 15

(divide by 5)

x = 3

so the x-intercept is (3,0)

Write the function in vertex form. y=x^2+5x-9

Answers

Answer:

The function in the vertex form is y = (x + 2.5)² - 15.25

Step-by-step explanation:

The vertex form of the quadratic function y = ax² + bx + c is:

y = a(x - h)² + k, where

a is the coefficient of x²h, k are the coordinates of its vertex pointh = [tex]\frac{-b}{2a}[/tex]k equals y at x = h

∵ The given function is y = x² + 5x - 9

a = 1, b = 5, c = -9

→ Use a and b to find h

∵ h = [tex]\frac{-b}{2a}[/tex]

∴ h = [tex]\frac{-5}{2(1)}=-2.5[/tex]

h = -2.5

→ Find y at x = -2.5

∵ y = (-2.5)² + 5(-2.5) - 9 = 6.25 - 12.5 - 9

∴ y = -15.25

k = -15.25

→ Substitute a, h, k in the vertex form above

∴ y = 1(x - -2.5)² + -15.25

∴ y = (x + 2.5)² - 15.25

The function in the vertex form is y = (x + 2.5)² - 15.25

TJ is think of a number which he calls n he finds 1/3 of the number

Answers

Answer:

Step-by-step explanation:

Let the number TJ thinks of be n.

If he finds 1/3 of the number, the expression that models this situation is expressed as:

1/3 of n

= 1/3 * n

= n/3

hence the expression that models the scenario is n/3

Answer:

1/3n-5

Step-by-step explanation:

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