Rewrite x^5+5x^3-9x+1 ______________ x^2+6 In q(x)+r(x)/b(x)

Write the standard equation for a circle with center (−6, −8), that passes through (0, 0)

chubhunter [2.5K]

Standard equation: (x-h)^2 + (y-k)^2 = r^2

Here, (0-[-6])^2 + (0-[-8])^2 = r^2
Find r: 36 + 64 = 100, so r = 10

Then the desired equation is (x+6)^2 + (y+8)^2 = 10^2

7 0

2 years ago

which properties are present in a table that represents an exponential function in the form y=b^x when b>1

vladimir1956 [14]

Answer:

The function has the property of exponential growth function.

Step-by-step explanation:

The exponential function is given by $y = b^{x}$ , where b > 1.

Now, for x = 0, we get y = 1,

For x = 1, we get y = b

For, x = 2, we get y = b²

And so on.

Now, as b > 1, so, b² > b > 1 and the values of y are increasing as the value of x increases.

Therefore, the function has the property of exponential growth function.

3 0

3 years ago

A candy store called "Sugar" built a giant sugar cube out of wood to hang above the entrance to their store. It took 54 feet^2.

saul85 [17]

Each side area = 54/6 sides = 9
one side is 3 feet so the volume is 3x3x3 = 27 square feet

7 0

2 years ago

V= 4 (3.14) (3cubed)

wel

The answer is 339.12

7 0

2 years ago

Read 2 more answers

A boat traveled 126 miles downstream and back. The trip downstream took 6 hours. The trip back took 42 hours. What is the speed

brilliants [131]

Answer:

The answer is

Speed of the boat in still water= 12mph

Speed of current= 9mph

Step-by-step explanation:

let x= speed of the boat in still water

let y= speed of current

DATA WE HAVE

with current

rate- x+y

time- 6 hours

distance- 126 miles

rate= 126/6= 21

against current

rate- x-y

time- 42hr

distance- 126 miles

126/42= 3

Now, we add these two equations vertically.

x-y=3

+

x+y=21

2x = 24

Now we divide each side by 2

2x/2 24/2

x= 12

The speed of the boat in still water is 12mph

NOW WE HAVE HALF OF THE ANSWER

if x+y= 21

then

12+y=21

subtract 12 from both sides

y=9

The speed of the current is 9mph

Checking)

12+9=?21

21=21

12-9=?3

3=3

I hope this helped! If you have any questions, dm me on insta celinesaydawi

8 0

2 years ago