Which sentence represents the following inequality?
9(x+3) < 6x – 12
A. Nine times the sum of a number and three is less
than six times the same number decreased by
twelve.
B. The product of nine and a number increased by
three is less than the product of six and the same
number decreased by twelve.
C. Nine multiplied by the sum of a number and
three is greater than the product of six and the

[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ Inverse \ of \ the \ given \ function \ is \ x^2+2x-4 .}}}[/tex]

A function is given to us , and we need to find its inverse. So the function is ,

[tex]\bf\implies f(x) = \sqrt{x + 5 } - 1 [/tex]

So , firstly replace x with y in the given function and then solve for y to get its inverse . Taking the given function ,

[tex]\bf \implies f(x) = \sqrt{x+5}-1\\\\\bf\implies y = \sqrt{x+5}-1 \\\\\bf\implies x = \sqrt{y+5}-1 \:\:\bigg\lgroup \red{\sf Replacing \ x \ with \ y .} \bigg\rgroup \\\\\bf\implies x + 1 = \sqrt{y+5}\\\\\bf\implies y+5 = (x+1)^2 \\\\\bf\implies y+5 = x^2+1 +2x \\\\\bf\implies y = x^2+1-5+2x \\\\\bf\implies y = x^2-4+2x \\\\\bf\implies \boxed{\red{\bf f^{-1}(x)= x^2+2x - 4 }}[/tex]

Here I have also attached the graph of , x² + 2x - 4 and √(x+5) - 1. Here blue graph is of √(x+5) - 1 & red of x²+2x-4.

Answer:

7.5

Step-by-step explanation:

Answer: 17x+5

Combine 10x to the 9x which would be 19x then subtract the 2x which gives you 17x+5

Answer: 17x+5

Step-by-step explanation:

10x+5-2x+9x

10x-2x+9x+5

17x+5

Answer:

(x-y)/z

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

5*2*3-2*0 ( when we multiply any number with zero then the result is also zero)

30-0

30

Answer:

y=4

Step-by-step explanation:

Answer:

For the equation, you should subtract 2x on both sides to get -y = -2x - 4.  Flip the y's negative sign to get a proper function which is y = 2x + 4.  The y-intercept is at (0, 4) and each unit will move two units up along the x-axis.

Answer:

It is a proportional relationship

Step-by-step explanation:

Here, we want to know if the relationship is proportional or not

Looking at the table, we can see that every value of x multiplied by 4 will

give y

In simpler terms;

y = 4x

Hence, we have established that there is a proportional relationship between the x and y values

Answer:

.....

..

Step-by-step explanation:

umm.

ok free points if

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

Answer: y = 91

Step-by-step explanation:

y = -7(-13)

y = -7 x -13

y = 91

Answer:

Vertical compression

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Answer:

i think its 75

Step-by-step explanation:

bend your head to the right and compare to a 90 degree square

it's acute

Answer: 75°

Step-by-step explanation:

m∠BGC + m∠AGB + m∠AGE = 180°

m∠BGC + 31 + 74 = 180°

m∠BGC + 105 = 180°

m∠BGC = 75°

what is the answer to 26=t-19 ?

Answer:

t = 45, okay

Step-by-step explanation:

=》t - 19 = 26

=》t = 26 + 19 ( by adding 19 on both sides )

=》t = 45

Answer:

Step-by-step explanation: if he puts 3 drops in a 12 ounce glass of water he should be using 4 ounces per drop 12 ounces divided by 3 drops gives you 4 ounces per drop

=======================================================

Explanation:

"Per drop" means "per 1 drop" or "for each 1 drop".

We start off with the ratio of

3 drops: 12 ounces

Divide both parts of that ratio by 3 so that "3 drops" turns into "1 drop"

Doing so gets us the new ratio of

1 drop: 4 ounces

So he uses 4 ounces per drop.

Answer:

Step-by-step explanation:

The degrees of the terms in the order given are 2, 4, 1, 3, 0. The second-highest of these numbers is 3, and the corresponding term is ...

 B: -g^3

(3g+5)(2g-7)

(3g+5)(2g-7)=6g²-21g+10g-35 = 6g²-11g-35

Answer:

Step-by-step explanation:

1,2,4

Answer:

b. 40m+0.25=25m+0.45

Step-by-step explanation:

Step one:

given data

First Rate Rental

Charges $40 a day plus $0.25 per mile.

let the number of days be m

and the total charges be y

y= 40+0.25m---------------------1

Star Rental

charges $25 a  day plus $0.45 per mile.

y= 25+0.45m-----------------------2

Step two:

equate 1 and 2 above we have

40+0.25m= 25+0.45m

Answer:

7/12 revolutions per second

The wheel makes revolutions per second is 7/12.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a wheel makes 35 revolutions per min.

Here,

35/1 minute × 1 minute/60 seconds

= 35/60

= 7/12 revolution per second

Therefore, the wheel makes revolutions per second is 7/12.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

25 x

Step-by-step explanation:

Answer:

D. 19.47

Step-by-step explanation:

91/113 = 80.53

100.00-80.53 = 19.47

Answer:

19.47% to the nearest hundredth.

Step-by-step explanation:

Value of the error = 113 - 91 = 22.

Percent error = (22/113) * 100

= 19.47.

Answer:

Step-by-step explanation:

57,200