please explain how to get this answer!!
The surface area of a paper cup is defined by the function S(h) = 4π√(16 + h^2) where h is the height of the cup. What are domain and range of f(x)?
I already know the answer but I want to know the steps.

[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]

Let the present age of son be x

Therefore,

Present age of the father will be

[tex]\bold{ = 3x\:\: years }[/tex]

9 years ago,

The age of the son was

[tex]\bold{ = ( x - 9)\: years}[/tex]

Age of the father was

[tex]\bold{ = 3(x - 9) \:years ...eq(1)}[/tex]

But,

From eq(1) and eq(2) :-

[tex]\sf{3(x - 9) = 4(x - 9)}[/tex]

[tex]\sf{3x - 27 = 4x - 36}[/tex]

[tex]\sf{3x - 4x = -36 + 27}[/tex]

[tex]\sf{-x = -9 }[/tex]

[tex]\bold{\pink{ x = 9 \: years }}[/tex]

Thus, The present age of the son is 9 years

Age of the father will be

[tex]\sf{ = 3 × 9 }[/tex]

[tex]\bold{\red{ = 27 \: years }}[/tex]

Hence, The present ages of son and father is 9 years and 27 years

Step-by-step explanation:

vol of sphere =

[tex](4 \div 3) \times {5}^{3} \times \pi[/tex]

523.59 units^3

Answer:

523.33 units³

Explanation:

Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³ - Here the radius is 5 and take π as 3.14.

Using the formula:

Answer:

Y=2.25x+4.00 would be the answer!:)

Step-by-step explanation:

The slope is 2.25 and the starting point is 4.00

To find the slope subtract 8.50 and 15.25 then divide it by 3

Answer:

B.) y = 2.25x + 4.00

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

$21.25

Step-by-step explanation:

Step one: $100 and you subtract the $15 you spent on a shirt which leaves you with $85.

Step 2: finally you need to divide 4 into 85....Calculate...... You spend $21.25 on each member

Answer:

x=2

Step-by-step explanation:

you would add -3x on both sides, then that cancels out, and then the equation would be 2=5x-8. Then you would add 8 to both sides then it would be 10=5x. Then you would divide 5 by both sides, then it will be x=2.

Answer: This is the answer to your equation sorry I had to do It on a doc

Answer:

-4

-4

1

-8

1

Step-by-step explanation:

[tex]x^2-4x-8=0[/tex]

Comparing [tex]ax^2+bx+c=0[/tex]

⇒ a = 1, b = -4 and c = -8

Substituting these values into the quadratic formula:

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}[/tex]

(The numbers you need to fill in the blanks are in bracket)

Twenty-seven is 25% of 108

Answer:

r = 2

Step-by-step explanation:

To find the common ratio (r) of a geometric sequence, simply divide a term by its previous term.

   8 ÷ 4 = 2

or, 4 ÷ 2 = 2

or, 2 ÷ 1 = 2

Answer:

y=6x-4

Step-by-step explanation:

First find the slope using the coordinates of (-1,-10) which will be your first pair x1 and y1. And (3,14) will be x2 and y2. To find the slope use this formula: m= y2-y1/x2-x1

Put the numbers of the coordinates in the formula and you get a fraction of

24/4 = 6 this is the slope

m=6

Then to find the y-int

Pick a coordinate they both will give the same answer. Put it into the point slope formula: y-y1=m(x-x1)

Only use y1, x1, and m which is 6 And solve

y-14=6(x-3) distribute the 6 this gives you
y-14=6x-18 to get y by itself, ADD 14 to both sides of the equal sign

Leaving you with y=6x-4

Given :-

To Find :-

Solution :-

The given system of equation is ,

[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]

Firstly , taking equation (ii) ,

[tex] y = 4x +10[/tex]

On subtracting y on both sides, we have ;

[tex] 4x - y +10 = 0[/tex]

Multiplying both sides by 2 ,

[tex] 2(4x -y+10)=2(0)[/tex]

Simplify,

[tex] 8x - 2y = -20 \dots (iii)[/tex]

Adding equation (i) and (iii) ,

[tex] 3x + 2y + 8x - 2y = -20+9[/tex]

Add and subtract the like terms ,

[tex] 11x = -11 [/tex]

Divide both sides by 11 ,

[tex] x = -1 [/tex]

Now substitute this value in equation (i) ,

[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]

Hence the correct option is 4 (-1,6) .

I hope this helps . Let me know if you need any further clarification .

Option 4.

For clear understanding refer to the attachment.

Jangan Mencoba Menikamku Dari Benakmu

I think it should be 6000 more! If not im so sorry!! Have a nice day!!

Answer:

C=70b

Step-by-step explanation:

multiply each number in b by 70  to get the correct answer of c

Answer:

It'll be 18% to the nearest percent

Step-by-step explanation:

2/5 × 45 = 18

Answer:

The answer is 18%

Step-by-step explanation:

The formula to find experimental probability is number of favorable outcomes/total number of trails. Our favorable outcome here is C ( the outcome we want), and it occurs 8 times. The spinner is spun 45 times so there are 45 trials. This means we get 8/45. 8 divided by 45 equals 0.177777778. When rounded up equals 0.18=18%.

Hope this helps for you K12 math test.

Answer:

$13.80

Step-by-step explanation:

if it's only asking how much he had after buying the oil pastels, it's just 20-6.20 which is 13.80

Answer:

Step-by-step explanation: a car of mass 1000kg traveling at a speed of 108km/hour a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction Gradyn is waiting for your help. Add your answer and earn points.

Step-by-step explanation:

this simply means that Dell can do 1/3 of the work in 1 hour, and Max can do 1/4 of the work in 1 hour.

so, working together, they can complete 1/3 + 1/4 of the work in 1 hour.

to really add these fractions, we need to bring them to the same denominator by finding the smallest (or lowest) common multiple of the existing denominators, which is in this very simple case just 3×4 = 12

1/3 + 1/4 = 4/12 + 3/12 = 7/12

therefore, together they can complete 7/12 of a flower bed in 1 hour.

so, by defining the variable fb as the number of completed flower beds :

fb = 7/12 × t

Answer:

x= 6

y= 2

Step-by-step explanation:

conversion factor is 2, so you have to divide by 2 in order to get your answers :)

Answer:

x = 6

y = 2

Step-by-step explanation:

Just divide 6 a number and you have to get 3, in this case it's 2.

So then divide 4 and 12 by 2, and that will get you the answer.

Hope this helps!

Answer:

Slope is (-9/3 or) -3

Y-intercept is 4

Equation is y = - 3x + 4

Hope this helps!

Answer:

4.432 * 10^-1

Step-by-step explanation:

move your decimal so that you have less than 10 before the decimal.

Then count the number of spaces moved (1) and put that in the 10^x (10^-1)

Answer:

Answer:

A closed circle on 12, going to the left.

Step-by-step explanation:

h − 9 ≤ 3

  + 9 + 9

h ≤ 12

Look for a closed circle on 12, going to the left.

Hope that helps!

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

Answer:

Infinitely many solutions

Step-by-step explanation:

[tex]y=2x+4\\ [2] 6x-3y=-12[/tex]  < ------------- Linear equations given

Equations Simplified or Rearranged :

[tex]y - 2x = 4 \\ [2] -3y + 6x = -12[/tex]

Solve by Substitution :

// Solve equation [1] for the variable [tex]y[/tex]

[tex][1] y = 2x + 4[/tex]

// Plug this in for variable[tex]y[/tex]  in equation[tex][2][/tex]

[tex][2] -3*(2x+4) + 6x = -12[/tex]

[2]    [tex]0 = 0 =>[/tex]  Infinitely many solutions

the answer to your question is a.

Answer:

y = -11/12x + 4

Step-by-step explanation:

(-12,15) and (0.4)

4 - 15 = -11

0 -(-12) = 12 (since minus a negative = positive)

-11/12

Then just put the numbers.

15 = -11/12(-12)

15 = 11 + b

4 = b

Additional Information:

Slopes are really fun to do, but they get tricky and confusing. By the way, I am 14 years old and I did slopes, and I'm not the best at this, so I might be wrong. :( Don't hate me.

Answer:

  -11/12

Step-by-step explanation:

The slope of the line is the difference in y-values divided by the difference in x-values. It is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -15)/(0 -(-12)) = -11/12

The slope of the line through the given points is -11/12.

a^2 + b^2 = c^2

c is the hypotenuse of the right triangle.

answer: 6

Answer:

(x-2) (x+ 8)

that's the answer to the question

Answer:

  (d)  (3, -2)

Step-by-step explanation:

It is easy enough to check the offered choices. All but the last fail in the first equation.

  (-6, -1): -1 ≠ -6 -1

  (7, -2): -2 ≠ 7 -1

  (-1, 6): 6 ≠ -1 -1

  (3, 2): 2 = 3 -1 . . . . . this is your solution point

Step-by-step explanation:

A can do 1/(t+2) of the task in 1 hour.

B can do 1/(t+18) of the task in 1 hour.

t×1/(t+2) + t×1/(t+18) = t/t = 1 (the full task is done)

t + t×(t+2)/(t+18) = t+2

t×(t+18) + t×(t+2) = (t+2)(t+18)

t² + 18t + t² + 2t = t² + 20t + 36

2t² + 20t = t² + 20t + 36

2t² = t² + 36

t² = 36

t = 6

Step-by-step explanation:

Substitute t = -9:

[tex]g( - 9) = 3( - 9) - 5[/tex]

Solve:

[tex]g( - 9) = - 27 - 5[/tex]

[tex]g( - 9) = - 32[/tex]