The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?

Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?

mamaluj [8]

Steps:

Use the divisor and find x :
x - 1 = 0 **add 1
x= 1
Now we will use the 1 in dividing:

take the coefficients from in front of all terms
** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1| 1 0 0 1 **bring the first number down
____________
1 **multiply the boxed number by the first number and add it to the second number

1| 1 0 0 1
____+1_____ **repeat with the rest of the terms
1 1

1| 1 0 0 1
___+1_+1_+1
1 1    1 2
**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.
**since there is a remainder, rewrite it divided by the original divisor

final answer:
x^2 + x + 1 + (2/ x -1)

4 0

2 years ago

Read 2 more answers

Nate finishes his garden at 4:47 p. After pruning his roses for 18 minutes and watering his vegetables for 45 minutes. What time

3241004551 [841]

He finish his gardening at 5:50 p.m.

3 0

2 years ago

(2*)2-3×2*+2=0<br>4m-15°(×)m+75°

Valentin [98]

Answer:

First, we write the augmented matrix.

⎡

⎢

⎣

1

−

1

2

3

−

1

3

−

2

−

9

|

8

−

2

9

⎤

⎥

⎦

Next, we perform row operations to obtain row-echelon form.

−

2

R

1

+

R

2

=

R

2

→

⎡

⎢

⎣

1

−

1

0

5

−

3

−

2

−

9

|

8

−

18

9

⎤

⎥

⎦

−

3

R

1

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

0

5

−

3

0

1

−

12

|

8

−

18

−

15

⎤

⎥

⎦

The easiest way to obtain a 1 in row 2 of column 1 is to interchange \displaystyle {R}_{2}R

2

and \displaystyle {R}_{3}R

3

.

Interchange

R

2

and

R

3

→

⎡

⎢

⎣

1

−

1

8

0

1

−

12

−

15

0

5

−

3

−

18

⎤

⎥

⎦

Then

−

5

R

2

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

0

1

−

12

0

57

|

8

−

15

57

⎤

⎥

⎦

−

1

57

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

0

1

−

12

0

1

|

8

−

15

1

⎤

⎥

⎦

The last matrix represents the equivalent system.

x

−

y

+

z

=

8

y

−

12

z

=

−

15

z

=

1

Using back-substitution, we obtain the solution as \displaystyle \left(4,-3,1\right)(4,−3,1).First, we write the augmented matrix.

⎡

⎢

⎣

1

−

1

2

3

−

1

3

−

2

−

9

|

8

−

2

9

⎤

⎥

⎦

Next, we perform row operations to obtain row-echelon form.

−

2

R

1

+

R

2

=

R

2

→

⎡

⎢

⎣

1

−

1

0

5

−

3

−

2

−

9

|

8

−

18

9

⎤

⎥

⎦

−

3

R

1

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

0

5

−

3

0

1

−

12

|

8

−

18

−

15

⎤

⎥

⎦

The easiest way to obtain a 1 in row 2 of column 1 is to interchange \displaystyle {R}_{2}R

2

and \displaystyle {R}_{3}R

3

.

Interchange

R

2

and

R

3

→

⎡

⎢

⎣

1

−

1

8

0

1

−

12

−

15

0

5

−

3

−

18

⎤

⎥

⎦

Then

−

5

R

2

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

0

1

−

12

0

57

|

8

−

15

57

⎤

⎥

⎦

−

1

57

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

0

1

−

12

0

1

|

8

−

15

1

⎤

⎥

⎦

The last matrix represents the equivalent system.

x

−

y

+

z

=

8

y

−

12

z

=

−

15

z=1

Using back-substitution, we obtain the solution as \displaystyle \left(4,-3,1\right)(4,−3,1).

7 0

2 years ago

Can someone please answer. There is one problem. There's s picture. Thank you!

Pepsi [2]

The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get $180-(57+90)=33\textdegree.$

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

$\frac{\sin(A)}{a} = \frac{\sin(B)}{b}$

For this problem, we'll let the height of the hot air balloon be $a=15$ and its respective opposite angle be $A=33\textdegree$ , and let the missing x-distance be $b$ , with its respective opposite angle $B=57\textdegree$ . Note, we're solving for $b$ .

$\frac{\sin(33)}{15} = \frac{\sin(57)}{b} \\ \\
b\times sin(33)=15\times \sin(57) \\ \\
b=\frac{15\times \sin(57)}{sin(33)} \\ \\
b\approx \frac{15\times 0.84}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx 23.3$

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.

8 0

3 years ago

How do you do 4(x-3) you have to use distributive property to remove the parentheses..

Oksana_A [137]

Answer:

4x -12

Step-by-step explanation:

Your question answers itself: you use the distributive property to remove the parentheses.

4(x -3) = 4(x) +4(-3) = 4x -12

5 0

2 years ago