Mathematics College

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 algebraic inverse of the function? f(x) = 2x -6 please include steps

Answers

9514 1404 393

Answer:

  f^-1(x) = (x +6)/2

Step-by-step explanation:

The inverse function is found by solving ...

  x = f(y)

Here that is the solution to ...

  x = 2y -6

  x +6 = 2y . . . . . add 6

  (x +6)/2 = y . . . divide by the coefficient of y

The inverse function is ...

  f^-1(x) = (x +6)/2

A
E
40 - 200
Z
2
What is 1/2•40•200?

Answers

Answer:

4000

Step-by-step explanation:

1/2 · 40 · 200 = 20 · 20020 · 200 = 40004000

Therefore, the answer is 4000.

.5 x 40 = 20 times 200 equals 4000

fill in the blank (Geometry B)

Answers

19............(i think).............

For each pair of functions f and g below, find S (8 (x)) and
Please help

Answers

9514 1404 393

Answer:

  (a) f(g(x)) = g(f(x)) = x; functions are inverses

  (b) f(g(x)) = g(f(x)) = x +4; functions are not inverses

Step-by-step explanation:

(a)

f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)

f(g(x)) = x

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x

f and g are inverses of each other

__

(b)

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

f(g(x)) = x +4

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x+4

__

f and g are not inverses of each other

1/2 to the power of 4

Answers

Answer: 1/16 because 1 to the power of anything is the same. 2 to the power of 4 is 16 so 1/16

Answer:

⅛...yo pienso pq creo va de 4 en cuatro

A baseball team played 75 games and lost 20% of them. How many games did the team lose?
O 15
O 20
O 55
O 60

Answers

the answer is 15!!!

Answer: 15

Step-by-step explanation: 20% → .20

.20 x 75 = 15

Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi

Answers

Answer: Taylor is 14 and Jessi is 13

Step-by-step explanation:

Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.

No weird websites ONLY HElP

Nico uses a uniform probability model for an experiment using a deck of 40 cards. There are 10 blue cards, 10 red cards, 10 green cards, and 10 yellow cards in the deck. Cards will be drawn one at a time and then replaced in the deck before another card is drawn. He uses the probability model to determine the probability of drawing a green card or a red card. What is P(green or red)? Enter your answer as a simplified fraction in the box.

Answers

Answer:

it's 1/2

50%

Step-by-step explanation:

i did the quiz in k12 ND GOT IT RIGHT HOPE THIS HELPS, IF ITS RIGHT CAN YOU PLS MARK ME THE BRAINLIEST.

Answer: The answer is 1\2 or 50%

Explanation: I took the test and this was right

Hope this helps

Look at picure please

Answers

Answer:

[tex]2 {y}^{7} x - 5 {y}^{5} {x}^{2} - 4{y}^{8} {x}^{3}[/tex]

What algebraic property is T - 6 = -4

Answers

5.

—————————————————————

Answer:

subtraction to addition algebraic expression.

Step-by-step explanation:

What is 41687 rounded to the nearest Highest Place

Answers

Answer:

40,000

Step-by-step explanation:

This density curve represents the amount of time students spend waiting for their morning bus to school.
if the median of the density curve is 1.5, which value could be the mean of the density curve?

(B) - μ = 2.5
(the answer)​

Answers

Can u mark me brainliest since u answered already.

Answer:

B

Step-by-step explanation:

e2020

chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6

Answers

Answer:

steps below

Step-by-step explanation:

5¹+5² = 30        30/6 = 5¹

5³+5⁴ = 125 + 625 = 750     750/6 = 125 = 5³

5⁵+5⁶ = 18750         18750/6 = 3125 = 5⁵

...........

(5¹⁹⁹¹+5¹⁹⁹²)/6 = 5¹⁹⁹¹

sum of every couple consecutive multiple of 5 are multiple of 6, the sum

S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 IS multiple of 6

Increase £15837.77 by 18.5% Give your answer rounded to 2 DP.​

Answers

Answer:

£18, 767.7574

Step-by-step explanation:

15837.77 x 18.5%=2,929.98745

15837.77 + 2,929.98745= 18, 767.7574

Hope this helps! Please ask me freely if you have any questions regarding this.

Answer:

Step-by-step explanation:

100+18.5=118.5

15837.77×118.5 %=18767.75745≈18767.76

QUESTION: 600 ÷ ___ = 3?
SOURCE: i-Ready

Answers

Answer:

The answer is 200 I AM POSITIVE

Step-by-step explanation:

Mark me as branliest maybe??

Which statement is true?

Answers

Because 32 X 1/2 = 16, 16 divided by 1/2 is 32

What’s the equation of the horizontal asymptote

Answers

By inspection, the equation for the horizontal asymptote is y = -3.

Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.

Answers

Answer:

times by 2 because it keeps going up by times 2 the number of blocks

9514 1404 393

Answer:

  5th: 32

  6th: 64

The number doubles at each step.

Step-by-step explanation:

Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.

It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...

  2, 4, 8, 16

1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence

ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2

We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.

The blocks in the 5th step will be 2^5 = 32.

The blocks in the 6th step will be 2^6 = 64.

_____

Additional comment

It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.

Sam is playing a board game. He must roll dice to determine if he gets an extra turn. The probability of getting an extra turn is 6/17. Find the odds in favor of getting an extra turn.

Answers

Answer:

6 to 11

Step-by-step explanation:

By definition,

the odds in favor of getting an extra turn =

(# of chances to get an extra turn in 17 attempts) / (# of chances to not get an extra turn in 17 attempts) =

6 to (17 - 6) =

6 to 11.

Literal equations ….

Answers

Answer:

c - 215/5 = p

Step-by-step explanation:

[tex]c = 5p + 215 \\ - 215 \: \: - 215 \\ \frac{c - 215}{5} \: \: \: \: \: \frac{5p}{5} \\ \\ \frac{c - 215}{5} \: = \: p[/tex]

Hope this helps! Brainliest would be appreciated!

Answer:

[tex]p=\frac{c - 215}{5}[/tex]

Step-by-step explanation:

Hello!

Solve for p[tex]c = 5p + 215[/tex]

Subtract 215 from both sides

[tex]c - 215= 5p[/tex]

Divide both sides by 5

[tex]\frac{c - 215}{5} = p[/tex]

The solution for p is [tex]p=\frac{c - 215}{5}[/tex]

i need to know what 9+10=

Answers

19 !!!!!!! This is right !!!

this is literally kindergarten math smh

its 21

Need help with number 5 and number 6

Answers

Answer:

5 d) 9 1/3

6 d) 2

Step-by-step explanation:

Proportions:

5

7 ⇒ 4

BY ⇒3

BY = 7*4/3

BY = 28/3

28/3 = 27/3 + 1/3 = 9 1/3

BY = 9 1/3

6

12 ⇒ 3

8  ⇒ SX

SX = 3*8/12

SX = 2

I dont understand Analyze and solve percent problems

Answers

Answer:

okay, well, is there any link u wanna post for us to help u? maybe we can explain it?

Step-by-step explanation:

Solve: (-5) + (-18)

A -23

B- 13

C 13

D 23​

Answers

the answer would be -23

Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?

Answers

12,870 is the answer

A person's heart beats 200 times in 3 minutes. How many times will it beat in an hour (remember...60 minutes in an hour) ?​

Answers

200 times / 3 minutes = x times / 60 minutes

3x = 12000

x = 4000 times in an hour

A person's heart will beat 4000 times in an hour.

Hope this helps!! :)

Answer:  4000 beats per hour

Step-by-step explanation:

200 beats     X   60 minutes    

3 minutes               1 hour

The term 'minutes' cancel out therefore you are left with beats per hour

200 x 60       =    12000    =  4000 beats per hour

      3                         3

spot the error and rewrite pllz I need now


Quotient ×Remainder+dividend=Divisor​

Answers

Answer:

Divisor × Quotient + Remainder = Dividend

Step-by-step explanation:

Hope it is helpful.....

Answer:

Divisor×Quotient+Dividend=Remainder


Help!!!!!!!!!!!!!!!!

Answers

Answer:

geevehrhrirbirbrbrnrnrbrbrbrbrbblo Uruguay 7dm9 7dm9 uvo idilio icono iconorbtbrbbrbrbrbrjrjjrj4jrkkenenenrnrnnktkr

Step-by-step explanation:

higos arraigo titubear otorgó eurodiputados

Can someone help me with number 18 please!!!!

Answers

Step-by-step explanation:

try general keyboardjdjdjjkdd

What is 12/9 in simplest form

Answers

the simplest form would be 4/3
Answer) 4/3
Explanation)
You’d have to find the common factor of 12 and 9
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