Question 11 (1 point) (02.05 LC) What number is 60% of 80? Input only whole numbers.

The volume of a rectangular prism is more than 156 cubic inches. The prism has a length of 8 inches and a width of 3 inches. Sel

Anon25 [30]

Multiply All Of The Numbers Thats What I Think You Should Do!

3 0

3 years ago

Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =

Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

y = C₁ + C₂cos 3x + C₃sin 3x

Given:

y(0) = 6

Thus, Applying in the above equation, we get

6 = C₁ + C₂ .......................................................1

Differentiating y , we get:

y' = -3C₂sin 3x + 3C₃cos 3x

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

9 = 3C₃

or,

C₃ = 3

Differentiating y' , we get:

y'' = -9C₂cos 3x - 9C₃sin 3x

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

18 = -9C₂

or,

C₂ = -2

Applying in equation 1 , we get:

C₁ = 8

Thus,

y(x) = 8 - 2cos 3x + 3sin 3x

4 0

3 years ago

Laura retired from her job recently, and she has saved about $396,460.00 over the course of her career. She plans to withdraw $1

Tomtit [17]

So she has 396460
she will withdarw 1700 per month, and withdraw is loss or minus or (-)

after x months, she has 359060 left so

total-withdrawn=remaining
withdrawwn=1700 times months so withdrawn=1700x
total-1700x=remaining
total=396460
reaining=359060
subsitute
isolate x then divide is the strategy

396460-1700x=359060
add 1700x to both sides
396460=359060+1700x
subtract 359060 from both sides
37400=1700x
divide both sides by 1700
22=x

she has been retired for 22 months

7 0

3 years ago

Read 2 more answers

Which represent like terms in the model of the equation?

Nezavi [6.7K]

Answer:

Option 2

Step-by-step explanation:

Like terms are terms with the same variable and the same power.

Let's analysis and write the equation of each model to see if which of them has like terms:

Option 1:

We have x x => 2x

1 1 1 => 3

Equation of model=> 2x + 3

2x and 3 are unlike terms

Option 2:

We have x x => 2x

x x x => 3x

Equation of model=> 2x + 3x

2x and 3x are like terms

Option 3:

We have x x x => 3x

1 1 1 => 3

Equation of model=> 3x + 3 (contains unlike terms)

Option 4:

We have x => x

1 => 1

Equation of model=> x + 1 (unlike terms)

✔️The second option is the answer

8 0

3 years ago

What is the inverse equation of the function, y = 3x - 6?

algol [13]

The best answer (and only correct answer) among the answer choices given is:
________________________________________________
[C]: y⁻¹ = (x+6) / 3 .
_________________________________________________
Explanation:
__________________________________________________
Given the original function: y = 3x - 6 ;
_________________________________________________
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
_________________________________________________
x = 3y − 6 ;

Now, rewrite in "slope-intercept form" ; or y = mx + b ;
that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only); then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope"; and "b" refers to the 'y-intercept".
_____________________________________
So,we have the inverse function:
____ _________________________________________________
x = 3y − 6 ; we want to write in slope-intercept form;
__________________________________________________
Add "6" to each side of the equation:
__________________________________
x + 6 = 3y − 6 + 6 ;
__________________________________
x + 6 = 3y ;
________________________
↔ Rewrite as: 3y = x + 6 ;
________________________________________
Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
3y / 3 = (x + 6) / 3 ;
______________________________
to get:
______________________________
y = (x + 6) / 3 ;
_________________________________
y = (x/3) + (6/3) ;
____________________________________
y = (x/3 ) + 2 ;
___________________________________
or; write as: y = (1/3)x + 2 ;
________________________________________
Now, let us examine the answer choices given:
__________________________________________
Note that all the answer choices begin with "y-1" ;
(except "answer choice: [B]" , which begins with "x-1"). This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1". Rather, it mean y⁻¹ or x⁻¹ as notation for the "inverse" (not to be confused with the exponent notation. The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
__________________________________________________
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
_____________________________________
y⁻¹ = (x + 6) / 3 ;
_________________________________
y⁻¹ = (x/3) + (6/3) ;
____________________________________
y⁻¹ = (x/3 ) + 2 ;
___________________________________
or; write as: y⁻¹ = (1/3)x + 2
___________________________________
That being said:
_________________________________________
The best answer (and only correct answer) among the answer choices given is: Answer choice: [C]: y⁻¹ = (x+6) / 3 .
____________________________________________________

6 0

3 years ago