Find the quotient and the remainder when you divide f ( x ) = x 3 + 2 x 2 + 4 x + 6 by x − 2

Answer:

The fourth root of -16/81, whose result is -0.19, is -0.66.

Step-by-step explanation:

To determine the fourth root of -16/81, you must first perform this mathematical operation, and then perform the radication of the result of it. Thus, the following process must be carried out:

-16 / 81 = X

-0.19 = X

4√0.19 = -X

0.66 = -X

-0.66 = X

Therefore, the fourth root of -16/81, whose result is -0.19, is -0.66.

============================================

Explanation:

A diagram is very handy for this type of problem. Refer to the diagram below (attached image). Here are the steps used to form the diagram

The diagram below shows all of this visually summarized. We have the segments

And we have these angles

Angle ABC comes from the fact that the blue and green angles add with the red angle to get 180. So we basically need to solve 46+y+55 = 180 which leads to y = 79.

------------------------------

Once the diagram is set up, we'll use the law of cosines to find x.

Focus on triangle ABC. Ignore points D,E,F. Ignore any extra lines as well.

The interior angles of triangle ABC are

The sides opposite the angles are

Now we can apply the law of cosines

b^2 = a^2 + c^2 - 2*a*c*cos(B)

x^2 = 483^2 + 550^2 - 2*483*550*cos(79)

x^2 = 434412.180756441

x = sqrt(434412.180756441)

x = 659.099522649229

x = 659

Side AC, or CA, is roughly 659 miles long.

------------

To find the total distance the plane travels, we add up the three sides of the triangle (ie we find the perimeter)

Distance Traveled = AB + BC + CA

Distance Traveled = 550 + 483 + 659

Distance Traveled = 1692 miles

Answer:

y = - x + 6

Step-by-step explanation:

-- Rhombus diagonals are perpendicular and bisect each other.

-- A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of the midpoint of a segment AB are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

and formula of a slope of the line segment AB is

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

-- If AB ⊥ CD then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

-- Slope-point of linear equation is

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

M(0, 2)

T(4, 6)

[tex]m_{MT}[/tex] = [tex]\frac{6-2}{4-0}[/tex] = 1

[tex]m_{AH}[/tex] = - 1

Coordinates of the intersection of the diagonals are ( [tex]\frac{4+0}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = (2, 4)

y - 4 = - 1(x - 2)

y = - x + 6 is slope-intercept form of the diagonal AH

Answer:

Angle b is 63

Angle f is 59

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 3/7= 38/7 (move the wholes into the fraction)

2 1/5=11/5

38/7- 11/5  we need the common denominator=35

190/35 -77/35= 113/35

=3 8/35

Answer:

i think its c

Step-by-step explanation:

Answer:

I dont see the statements but this is a parabola. As you can see some of the ys repeat.

Step-by-step explanation:

Answer:

If if i did the match correctly then you would be paying $53.33

Step-by-step explanation:

hope this helps!!!!!!! :D

Step-by-step explanation:

Options B and C are wrong because 0 as a numerator is totally fine as a real solution.

In Option A,

15(x² - 1) = 10(3x - 3)

15x² - 45x + 30 = 0

x² - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 or x = 2.

This is correct as x cannot be 1 (dividing by zero).

In Option D,

(x + 2)(x - 1) = 40

x² + x - 42 = 0

(x - 6)(x + 7) = 0

x = 6 or x = -7.

In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)

Hence the answer is A.

Answer:

L=8 and J=11

Step-by-step explanation:

If Lee is L and Joanna is J we get: L+J=19.

And since Joanna has 3 more than Lee we get: J=L+3

When we substitute J for L+3 we get: 2L+3=19

When we solve we get: L=8

Finally, since J=L+3 we get: J=11

Answer:

Option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Step-by-step explanation:

To determine which deal is better before taxes, the aforementioned discounts must be made at the original prices and their results compared, through the following calculations:

1)

320 - (320 x 15/100) = X

320 - 48 = X

272 = X

2)

349.49 - (349.49 x 75/100) = X

349.49 - 262.11 = X

87.37 = X

3)

280 = X

Therefore, as can be seen, option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Answer:D and E I think

Step-by-step explanation:

Answer:

Hey,

Let A be (-1,7)

Let B be (5,1)

In order to find the distance we need to do

[tex]d = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Once we plug x2=5 and x1=-1

and y2=1 and y1= 7

You get

[tex]6 \sqrt{2} [/tex]

Now to find the midpoint:

[tex]( \frac{x1 + x2}{2} \frac{y1 + y2}{2} )[/tex]

Using the same values defined above we get:

(2,4)

Please rate brainlist and give a positive review

Answer:

2. unlikely

Step-by-step explanation:

The probability of rolling a 2 is 1/6, 0r 0.1666...  .

Probabilities and their meanings:

0   -   impossible

between 0 and 0.5   -   from unlikely to almost as likely as not

0.5   -   as likely as not

between 0.5 and 1   -   from as likely as not to almost certain

1   -   certain

This probability is 0.1666... which is in the category from 0 to 0.5. It is closer to 0 than to 0.5, so although it is not impossible, it is unlikely.

Answer: 2. unlikely

Answer:

Yes, because a triangle can have any lengths.

Answer:

(-4,2) is NOT a solution

Step-by-step explanation:

In this question, we have to see if the coordinate is a solution to the inequality.

To do this, plug in and solve:

4(-4) + 5(2) < -7

-16 + 5(2) < -7

-16 + 10 < -7

-6 < -7

Since -6 is not less than -7, this would be false.

Therefore, (-4,2) is NOT a solution.

coordinates are (-4,2)

equation :

[tex]4x + 5y < - 7[/tex]

substituting values of x and y in equation :

[tex]4( - 4) + 5(2)[/tex]

[tex] = - 16 + 10 \\ = - 6 > - 7[/tex]

which is not the required solution as - 6 is greater than -7

therefore (-4,2) is not the solution

Answer:

L = 50 * (-0.4)^(n - 1)

Step-by-step explanation:

r = t2/t1 = -20/50 = - 0.4

a = 50

L = 50 * (r)^(n - 1)      Let's  see if we can get the answer when n = 3

L=50 * (-0.4)^(3 -1)

L =50* (-0.4)^2

L = 50 * 0.16

L = 8 which is correct

Answers:

Lazy Butcher: M E A T L O A F E R

Rubber Raft: P L A Y B U O Y

Corn Salesman:  S T A L K B R O K E R

T = 6(3*4 - 5) - 9*4 = 6

U = 4 - 8(-2 -6*-1) = -28

Y = -3*-3 + 2(-5 * -3 + 1) = 41

R = -7(7 +6) + 12 = 79

F = 4(8 + 5 * -2) + 2* -2 = -12

S = -5 -3(4 - 9) = 10

E = 7 - 6(-8 + 2 * -6) + -6 = 121

P = 8 * -8 - 9 * -8 + 2(-3 * -8 - 4) = 48

K = -4(4 + 7 * 2) + 5 + 3 * 2 = -61

B = 5(--5 - 3) + 4 * -5 - 10 = -20

M = -1 + 9(4 * -1 - 2)  - 6 * -1 = -49

A = 6 - 2 * 3 - 6(-3 * 3 + 7) = 12

O = -8(9 + 2 * 6) + 8 * 6 + 6 = -114

L = -1 - 5 + 5(-5 * 1 + 9) = 14

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Answer:

The last one

Step-by-step explanation:

its comparing 2 things without using like or as

Answer:

The park road would be a black ribbon rippling through the majestic landscape

I'm pretty sure :)

Step-by-step explanation:

Answer:

what are you asking rlly

Answer:

14

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

so the y-int is where the point is on the y-axis (0,X). Or, in this situation-2.

for slope, you just need to do rise over run, or up and down first then, left and right. If I do that for C, I go 2 up and 3 right. So the slope os 2/3 (P.S. up and right is positive, and down and left is negative)

Answer:

20 granola bars

Step-by-step explanation:

Answer:

We accept H₀ we don´t have evidence of differences between the two toothbrushes

Step-by-step explanation:

Toothbrushes A

Sample mean                    μₐ = 119,7

Standard deviation           sₐ = 1,74

Sample size                        nₐ = 18

Toothbrushes B

Sample mean                    μ₀ = 120,6

Standard deviation           s₀ = 1,72

Sample size                        n₀ = 15

With  CI = 90 %      CI = ( -1,93 ; 0,13 ) that s the acceptance region for H₀

Test hypothesis    is      

H₀          μₐ =   μ₀  

Hₐ           μₐ ≠   μ₀  

We need to calculate t(s)  as

t(s) = (  μₐ -  μ₀ ) /Sₓ * √ (1/nₐ) + 81/n₀)

and see if it is insde CI

Sₓ  = (nₐ - 1 ) * sₐ² + ( n₀ - 1 ) * s₀² / nₐ + n₀ - 2

Sₓ  = 17*3,03 + 14*2,96 / 31

Sₓ  = (51,51 + 41,44 )/ 31

Sₓ = 2,998

t(s) = 0,9 / 2,998*√(1/18) + (1/15)

t(s) = 0,9 / 1,04

t(s) = 0,87

Answer:

u = -25/7

Step-by-step explanation:

-7(u + 3) = 4

-7u -21 = 4 (distribute the -7)

-7u = 25 (add 21 to get -7u by itself)

u = -25/7 (divide by -7 by both sides to find the value of u)

Answer:

um im not sure if you need to simplify but then the answer would be 3 minutes to 8 minutes.

Answer:

A is false

Step-by-step explanation:

A triangle can be drawn with exactly 1 acute angle. FALSE

A triangle can be drawn with exactly one right angle. TRUE

A triangle can be drawn with more than one acute angle. TRUE

A triangle can be drawn with exactly one obtuse angle. TRUE

Answer:

quarterly N = 4

semi-annually N = 2

Monthly N = 12

annually N = 1

Step-by-step explanation:

Given the following compound interest times :

N = number of times interest is compounded per period :

A period is regarded as a whole year.

Interest compounded;

QUARTERLY = Every 4 months per period = 12/3= 4

SEMI ANNUALLY = Every 6 months per period = 12/6 = 2

MONTHLY = Every month = 12 / 1 = 12

ANNUALLY = Every 12 months = 12 /12 = 1