How do you solve for x?

2(x - 3)^2 - 32 = 0

[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]

see the attachment

Answer:

Step-by-step explanation:

The surface area of a sphere is given by

A=4πr^2

The volume is

V = (4/3)πr^3

At r = 4":

A = 64π in^2

V = 85.3π in^3

At r = 5" (a 25% increase in r)

A = 100π in^2  (a 156.25% increase)

V = 167π in^3  ( a 195.8% increase)

We can show the ratio of these two measures by dividing the Volume by the Area:

V/A = ((4/3)πr^3/(4πr^2))

V/A = (1/3)r

For the 2 examples (4" and 5"), V/A is:

4":  (85.3π in^3)/(64π in^2) = 1.33   [(1/3)r = 4/3 = 1.33]

5":  (167π in^3)/(100π in^2) = 1.67   [(1/3)r = 5/3 = 1.67]

V/A = (1/3)r

Since Volume is a function of r^3 and Area is related to r^2, Volume will always increase faster, by a ratio of 1/3 r.

Answer:

Answer is 66

Step-by-step explanation:

divide 198 by 3 and you get 66

Hope this helps!

Answer:

The number of hours Jenny babysits

Step-by-step explanation:

Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.

Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x

   5(3)+10. This means Jenny will charge the person she babysat for a total of  

   $15 just for the hours alone.

Hope this helps! :)

Answer:

x represent the number of hours Jenny Babysits

Step-by-step explanation:

since she charges $5 per hour, then X is always how many hours

Answer:

-3 > P

Step-by-step explanation:

1 > 3P + 10​

Subtract 10 from each side

1-10 > 3P + 10-10​

-9 > 3P

Divide each side by 3

-9/3 > 3P/3

-3 > P

Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

Answer:

10 times

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

10 times

Step-by-step explanation:

The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct

Answer: 5 mins 110 words10 mins 220 words.

Step-by-step explanation: Tia types 66/3 = 22 words per minute.

Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types

22 * 10 = 220 words. Hope this helps! lol!

Answer:

Distance/2 hours

Step-by-step explanation:

Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.

Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.

DUBS

Please consider a brainliest!

Answer:

for which one all ?

Step-by-step explanation:

because if so lemme know

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Answer:

1.15x - 0.7x

Step-by-step explanation:

You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.

9514 1404 393

Answer:

  D.  -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

  -20/120 = -1/6

As a percentage, that change is ...

  -1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

Additional comment

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

  % change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

  % change = ((new amount) -(original amount))/(original amount) × 100%

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

and y- intercept c = 3

Answer: It all depends on what type of number line you're doing.

Step-by-step explanation:

Answer:

x=7.5y

Step-by-step explanation:

I took the test

Answer:

1. 50km 2. 20 3. 100km 4. 100 5. 300 (rounded to the 100's) or 290 (rounded to the 10's) 6. 270 (to the nearest 10's) 300 (to the nearest 100's)

Step-by-step explanation:

1.

45

5=>5

Answer 50

2.

22

2<5

Answer 20

3.

77

7>5

Answer 100

4.

108

0<5

Answer 100

5.

Answer 300 or 290

(Based on the answer above)

6.

300 or 270

(Based on the answer above)

Answer:

C

Step-by-step explanation:

C

Answer:

c

Step-by-step explanation:

c is the answer to this problem

Step-by-step explanation:

5x

Добро пожаловать

Answer:

12

Step-by-step explanation:

There is a right angle formed, hence this triangle is a right-angled triangle.

Using Pythagoras Theorem,

[tex]a^2+b^2=c^2[/tex]

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400[/tex]

[tex]b^2=400-256=144[/tex]

[tex]b=12[/tex]

The missing length is 12

Answer:

https://youtu.be/4yp5v64XuRc

Step-by-step explanation:

This is a very good video on to do it, it's hard to explain just typing it on here. I'm sorry.

Answer: 131

Step-by-step explanation:

Answer:

the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.

Step-by-step explanation:

hope I helped you! :D

Answer:

=3b^2x(2b-1)x(2b+1)

Step-by-step explanation:

Answer:

y= [tex]\frac{1}{3}[/tex]x-1

Step-by-step explanation:

Slope intercept form= y=mx+b

m=slope

b=y-intercept

b=-1

m= [tex]\frac{1}{3}[/tex]

y= [tex]\frac{1}{3}[/tex]x-1

Answer:

the 6 is in the tenth spot

Step-by-step explanation:

Answer:

a. y= 1/3 x + 2

b. x= -6

c. y=2

Step-by-step explanation:

the points are (-3,1)

the gradient is 1/3 as it is perpendicular

1= 1/3 (-3) +c

1= -1 +c

c= 1+1

=2

So, y= 1 x + 2

3

b.

x-intercept is when y=0

so substituting 0 in the equation

here: 0=1/3x + 2

1/3 x = -2

x = -6

c.

y-intercept is when x=0

y=1/3 (0) +2

y=2

Answer:

x+8*2=57.4

x=41.4

Step-by-step explanation:

Peter is thinking about a number. So, let's represent that number by x. So, he adds 8 to that number. x+8 so far. Then he doubles the result. x+8*2  to get an answer of 57.4. x+8*2=57.4. Ok, now in order to solve for x we would take 8*2 and get 16. 57.4-16=41.4. Now we know that x is 41.4. Substitute x into the equation. 41.4+8*2=57.4. 57.4=57.4. Have a great day! :)))))

Answer:

-4, 2    (-4,0) (2,0)

Step-by-step explanation:

factoring in binomials

[tex](x+4)(x-2)=x^{2} +2x-8[/tex]

The zeros:

[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]

[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]

I hope this help you

Answer:

x = 21 and both sides are 53 units long

Step-by-step explanation:

They are congruent, so they are equal, so

3x-10=x+32 then solve for x

2x=42

x=21

then plug x into each side to get its length

3x-10=3(21)-10=53

x+32=21+32=53

You would expect them to be the same since they are congruent