Given p(x) = x4 – 13x2 – 25x – 12.

A) Use long division to determine the remainder when p(x) is divided by (x2 – 4)? Show all of your work for full credit.

B) Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.

Answer:

y=0.25x-6

Step-by-step explanation:

Answer:

2 and 7.3

Step-by-step explanation:

[tex]P=2x+2y=18.6[/tex]

[tex]2x=18.6-2y\\x=9.3-y[/tex]

We'll replace x with (9.3-y)

[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]

Now we solve this equation by sum and product:

[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]

Replacing back in the Perimeter equation:

[tex]2x+2y=18.6[/tex]

if y=7.3

[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]

if y=2

[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]

So, the dimensions are 2 and 7.3 km

Answer:

Step-by-step explanation:

The net income reported on the income statement for the current year was $135,500 depreciation recorded on store equipment for the year amounted to $22,400 balances of the current asset and current libaility accounts at the beginning and end of the year are as follows

Answer:

the value of x must be 71°

Step-by-step explanation:

180° - (38° + 33°) = 109°

x = 180° - 109°

x = 71°

Answer:

x = 71

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 38 + 33 = 71

The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Find the image attached. From the figure, we can see that there are 6 rows in the array.

If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:

20P6 = 20!/(20-6)!

20P6 = 20!/14!

20P6 =  20 * 19 * 18 * 17 * 16 * 15

20P6 = 27,907,200

Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

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Answer:

$52

Step-by-step explanation:

8*6.50

Answer: x=10

Step-by-step explanation:To find the x-intercept, you have to set y=0.

4x-5y=40

4x-5(0)=40

4x-0=40

4x=40

Then divide both sides by 4 to get x=10

Hope this helps! :D

Answer:

  a. part: $250; percent: 30%; whole: $833.33

  b. $833.33

Step-by-step explanation:

a. The part is given as $250; the percentage that represents is given as 30%.

The whole is the ratio of the part to the percent:

  $250/30% = $250/0.30 = $833.33 . . . whole

__

b. The original price is the "whole" of which 30% is the part.

  original price: $833.33

Answer:

[tex]y^{2}=x[/tex]

Step-by-step explanation:

all of the other equations are functions as y is to the power of 1. since y is to the power of 2 in answer choice A, it would form a sideways parabola that does not pass the vertical line test.

Answer:

the answer is a because I did the math

Answer:

415 and 29

Step-by-step explanation:

x = 14y+9

xy = 12035

(14y+9)y = 12035

y = -415/14 and 29 but it's a positive integer

so y = 29

x = 14(29)+9

x = 415

Answer:

x = 13

Step-by-step explanation:

180-52=10x-2

130=10x

13=x

Answer:

5

Step-by-step explanation:

4+2=6

30 berrys so you do 30/6=5

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]

[tex]OR:[/tex]

Here's a paper I wrote of your answer.

Sorry, if my picture is blurry.

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

5.12

Step-by-step explanation:

1 lb               .79 lbs

------------ =  -----------

6.49             x dollars

Using cross products

1x = 6.49 * .79

x =5.12 dollars

Answer:

8 1/10

Step-by-step explanation:

mark brainliest if correct

Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

The size of each area is 3x

Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.

From the given parameters.

So, Henry's garden is said to be divided into 12 equal size areas.

∴

The size of each area is;

[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]

[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]

= 3x

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Answer:

can you please send the picture as well because for this

(The length of the deck is shown in the figure.=??)

figure is needed ..

Answer:

Step-by-step explanation:

The point of closest approach is on a line perpendicular to the zip line

perpendicular lines have negative reciprocal slopes, so the perpendicular line has slope (8/3)

y = (8/3)x + b

adding our known point (3, 16)

16 = (8/3)3 + b

b = 8

y = (8/3)x + 8

now find where the two lines intersect by solving two equations with two unknowns

y = (-3/8)x + 8

as the two lines have a common y intercept of 8, that is the common point

(0, 8)

The distance from (0, 8) to (3, 16) is

d = √((3 - 0)² + (16 - 8)²) = √73 = 8.5440037453...

d = 8.5 ft

Answer:

[tex] y = -\dfrac{11}{2}x - 52 [/tex]

Step-by-step explanation:

Line through points (-10, 3) and (-8, -8).

slope = (-8 - 3)/(-8 - (-10)) = -11/2

y = mx + b

y = (-11/2)x + b

-8 = (-11/2)(-8) + b

-8 = 44 + b

b = -52

y = (-11/2)x - 52

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope fo the line passing through (-10,3) and (−8, -8) is

Slope, m = (-8-3)/(-8+10) = -11/2

Now, equate a point in the equation,

3 = -10(-11/2) + C

3 = 55 + C

c = -52

Hence, the equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

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Answer:

x=-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-5))/(-7-(-7))

m=(-2+5)/(-7+7)

m=3/(0)

undefined

x=-7.

multipley by 2, to get the answer

Answer:

v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)

Answer:

Step-by-step explanation:

Circumference=72

pi=3.14

Radius=C /2π

72/6.28=11.4649681529

Rounded to the whole would be 11

=11

Answer:

Joe score was the highest. Tara score was the lowest.

Step-by-step explanation:

[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]

The approximate population in 2016 is 91, 604 population

The exponential equation representing the statement is [tex]P=P_0e^t[/tex]

Substituting into the formula will give:

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]

Hence the approximate population in 2016 is 91, 604 population

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