WHat is the solution of x^2 + x-6 / x-7 < 0

WHat Is The Solution Of X^2 + X-6 / X-7 &lt; 0

Answers

Answer 1

Answer:

x≤-3 or 2≤x∠7

Step-by-step explanation:

It would be the first answer on the paper

Answer 2

Answer:

A

Step-by-step explanation:

[tex]\frac{x^2+x-6}{x-7} \leq 0\\[/tex]

hence numerator and denominator are of opposite sign.

case1 .

let x²+x-6≥ 0

and x-7<0

x²+x≥6

x²+x+1/4≥6+1/4

(x+1/2)²≥25/4

(x+1/2)²≥(5/2)²

|x+1/2|≥5/2

x+1/2≥5/2

x≥5/2-1/2

x≥2

or

x+1/2≤-5/2

x≤-5/2-1/2

x≤-3

also x-7<0

x<7

combining

x≤-3 or 2≤x<7

case 2.

x²+x-6<0

and x-7≥0

x²+x<6

x²+x+1/4<6+1/4

(x+1/2)²<25/4

|x+1/2|<5/2

so -5/2 <x+1/2<5/2

-5/2-1/2<x<5/2-1/2

-3<x<2

also x-7≥0

so x≥7

combining

we get no vlaue satisfying both the values.

Hence rejected.


Related Questions

What is the slope of the line that contains these points?

Answers

Answer:

8

Step-by-step explanation:

Let,

x1 = 0

x2 = 1

y1 = 18

y2 = 26

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 26 - 18 ) / ( 1 - 0 )

= 8 / 1

Slope = 8

Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.

Answers

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

Given matrices A and B shown below, find (3)A+(8)B.

Answers

Answer:

[tex]\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]

A penguin walks 10 feet in 6 seconds. How far does he walk in 45 seconds?

Answers

75 feet in 45 seconds
The penguin would walk 75 feet.

Write the equation of the line , in slope - intercept form , with following information : rate of change: -1 point : (3, - 3)

Answers

Answer:

y = -x

Step-by-step explanation:

Slope-intercept form looks like this: y = mx + b, with m being the slope or rate of change and b being the y-intercept. We already know the rate of change, so we can put -1 as m: y = -1x + b. To find our y-intercept, we can plug the point (3, -3) into the equation and solve for b:

-3 = -1(3) + b

-3 = -3 + b

b = 0

So we have y = -1x + 0. This can be simplified to y = -x.

What will NEVER change?
In a sequence of translations, reflections, and rotations,
what will NEVER change from the pre-image to the
image?
(Select all that apply)
The lengths of the line segments.
T
The position of the object.
The measures of the angles.
The orientation of the object.

Answers

Answer:

Step-by-step explanation:

the lengths of the line segments

Class 6 MATHS is this correct? ​

Answers

Answer:

yes it is correct great job

Is triangle RWS triangle QWT

Answers

Answer:

Try it as a RWS triangle

(Pre calc) I only need to do part A i would love to have some help I will make it 120 Points

Answers

Answer:

The domain should be X

Step-by-step explanation:

I'm a bit unsure but I think it's correct

Cho các tập hợp
A =( x∈R|x²-5x+4≤0)
B= (x∈R|x-1|≤1)
C=(x∈R|x²-7x+6≤0)
xác định: (A∪B)∩C
(A∩B)∪C

Answers

ANSWER:

B.

CAN YOU BRAINLEST ME THANK YOU

HOPE IT HELPS YOU

pls help i’m so confused

Answers

Answer:

I think your answer is i

Step-by-step explanation:

The rotational symmetry would be letters i

The letter with rotational symmetry is i

Please help me solve questions 10 & 11 (WILL MARK BRAINLY)!!!!!!

Answers

Answer:

10 c 100 b 1000 D 8888 A 2337

If a bag contains 16 red, 4 yellow, 20 blue, and eight white balloons, what is the part to whole ratio of red balloons to all balloons?

Answers

Answer:  1:3

Step-by-step explanation:

(add) 16 + 4 + 20, + 8 = 48.

Then simplify 16:48 = 2:6 = 1:3

Hope this helped, have a great day/night!

~IFoundJiminsLostJams~

Select the correct answer.
An archway is modeled by the equation y = -2x2 + 8x. A rod is to be placed across the archway at an angle defined by the equation x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B?

A.
8 units

B.
6 units

C.
5 units

D.
3 units

Answers

Answer:

D. 3 units

Step-by-step explanation:

after you add you get a another number you make a another unit and get your answer or you can get the answer of the another number and add it to together.

that what I think it is

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer: 2,208$

Step-by-step explanation:

To solve this problem, simply determine how much each attendee costs by doing 960$/30attendees = 32$/attendee.  Then, simply multiply this number by 69 to get: 2,208$

Hope it helps :) and let me know if you want me to elaborate further.

State the radius of this circle:
X^2 +Y^2=121

Answers

Answer:

radius = 11

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 121 ← is the equation of a circle centred at the origin

with r² = 121 , then

r = [tex]\sqrt{121}[/tex] = 11

In Canada, 92% of the households have televisions.
72% of households have televisions and internet access.
5% have neither. Use appropriate probability notation to answer the following:

A) create a relative frequency table of this situation.

Answers

Answer: Let "T" denote households with television

"I" denote households with internet

and "N" denote households with neither of these.

Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,

0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,

a)

House                 Probability

Nothing                0.05

Only television      0.23

Only internet         0.03

Both                   0.69

b) P(internet but no television) = P(only internet) = 0.03

c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)

d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375

e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.

Step-by-step explanation:

given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?
- $6,308,.12
-$3,189.68
-$3,152.06
-$1,594.84​

Answers

Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.

Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:

The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.

$ 61.34 x 52 = X $ 3,189.68 = X

Therefore, the annual Federal Tax deduction is $ 3,189.68.

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HELPPPPP I NEEED TO GET A GOOD GRADE OR I'M BUSTEDDDDDDDD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

(MATH)

I WILL GIVE BRAINILEST! PIC DOWN BELOW!!

Answers

Answer:

D) -31

Step-by-step explanation:

use PEMDAS

3^2-(5 x 2^3)

3^2-(5 x 8)

3^2-40

9-40

-31

Solve for c.

-2.2 - 0.1c = -1.9

Answer: c = _____

Answers

Answer:

c = -3

Step-by-step explanation:

-2.2 - 0.1c = -1.9

-0.1c = 0.3

c = -3

Hopefully this helps!

Brainliest please?

Jane paid $110 for an item at 40% off. What was the original price?

Answers

Answer:

$183.33

Step-by-step explanation:

A sample of 800 computer chips revealed that 57% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 62% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.02 level.

Answers

Answer:yes

Step-by-step explanation:

yes

10.com
Leg, width
and height

Answers

Answer:

volume = length × breadth × height

v = l × b × h

= 6 × 7 × 10

= 420 cm³

so the volume of the cubeoid is 420 cm³

Step-by-step explanation:

brainliest plz

Please help!!!
I need help finding the answer.

Answers

Answer:

2nd option

Step-by-step explanation:

The shaded area = outside area - inner area

                           = x² - (x - 6)² ← expand using FOIL

                         = x² - (x² - 12x + 36) ← distribute parenthesis by - 1

                        = x² - x² + 12x - 36 ← collect like terms

                        = 12x - 36

o
Addison is considering two sales jobs. She
estimates her total monthly sales will average $18,000. Which job should Addison take if she wants to earn more money each month? How much more will she earn?

A commission of 24% of her total
monthly sales.

Salary of $4,000 with a commission of 12.25% on her total monthly sales
over $14,500.


Answers

Answer: job 2     $ 108.75

Step-by-step explanation:

The total income after adding commission will be $5776.25.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that salary of $4,000 with a commission of 12.25% on her total monthly sales of over $14,500.

Total income will be calculated as:-

Total income = 4000 + 12.25% of 14500

Total income = 4000 + 1776.25

Total income = $5776.25

Therefore, the total income after adding the commission will be $5776.25.

To know more about an expression follow

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Solve for the values of x for each of the following exponential equations and inequalities.
1. 82− = 2
3. 5 = 25−2
4. 3+2 ≥ 27
5. 43 = 8−1

Answers

Answer:

8

2−x

=2

8^{2-x}=8^{1/3}8

2−x

=8

1/3

2-x=\dfrac{1}{3}2−x=

3

1

x=\dfrac{5}{3}x=

3

5

2.

(\dfrac{1}{2})^{x}<\dfrac{1}{8}(

2

1

)

x

<

8

1

(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(

2

1

)

x

<(

2

1

)

3

x>3x>3

3.

5^x=25^{x-2}5

x

=25

x−2

25^{x/2}=25^{x-2}25

x/2

=25

x−2

\dfrac{x}{2}=x-2

2

x

=x−2

\dfrac{x}{2}=2

2

x

=2

x=4x=4

4.

3^{x+2}\geq273

x+2

≥27

3^{x+2}\geq3^33

x+2

≥3

3

x+2\geq3x+2≥3

x\geq1x≥1

5.

4^{3x}=8^{x-1}4

3x

=8

x−1

2^{6x}=2^{3x-3}2

6x

=2

3x−3

6x=3x-36x=3x−3

3x=-33x=−3

x=-1x=−1

Step-by-step explanation:


Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year. The other offers a starting salary of $28,000 plus a raise of $1,800
when the two jobs will have the same salary?

Answers

The difference in starting pay:

32,000 - 28,000 = 4,000

The difference in raises:

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Answer 5 years

Two or more expressions with an Equal sign is called as Equation. After 5 years the two jobs will have the same salary

What is Equation?

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

Given that,

Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year.

The other offers a starting salary of $28,000 plus a raise of $1,800.

The difference in starting pay:

Thirty two thousand minus twenty eight thousand equal to four thousand.

32,000 - 28,000 = 4,000

The difference in raises:

Eighteen thousand minus thousand equal to eight hundred.

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Hence after 5 years the two jobs will have the same salary.

To learn more on Equations:

https://brainly.com/question/10413253

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Hi hi! I'd appreciate the help, and I'll give Brainliest. I need this now please!​

Answers

Answer:

Step-by-step explanation:

There are a few different ratios you can use:

2:1 = 12:6 = 24:12

3:1 = 12:4 = 36:12

4:1 = 12:3 = 48:12

5:1 = 15:3 = 60:12

These are just a few i could give

Calculate the area of the shape below. Give your answer in cm².​

Answers

Answer:

area of the shape below is

53cm^2

.......

Also if I can I give brainiest answer to first person


10. A stockbroker charges his customers $30 to open an account and
$15 per month to manage the account. Write an equation to represent the
number of months, n, an account has been open if the total cost is $360.





Answers

Answer:

the answer is 22

the equation is 30 + 15n

Step-by-step explanation:

15n as it increases each month and 30 as it never changes and will always be a value of 30

Answer:

15n+30=360

Step-by-step explanation:

$15 per month is being charged

The flat fee is $30

The Total cost is 360

15n+30=360

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