Find x. Round to the nearest tenth if necessary.​

Answer: The required remainder is 5.

Step-by-step explanation: We are given to find the remainder when we divide the following cubic polynomial by (x+2 :

3 f(x)=2x^ 3 +4x^ 2 - 6^ 2 -x+

(i)

We have the following theorem:

Remainder theorem: If a polynomial p(x) is divided by the factor (x-a), then the remainder is p(a).

So, for the given linear factor, we have

x + 2 = 0

Rightarrow x=-2

Substituting x = - 2 in equation (i), we get

f(- 2)

=2(-2)^ 3 +4(-2)^ 2 -(-2)+3

=-16+16+2+3

=5 .

Thus, the required remainder is 5.

Answer:

Step-by-step explanation:

a + 2 + a+2 + a + 2 = 24              Combine the left

3a + 6 = 24                                  Subtract 6 from both sides.

3a = 24 - 6                                   Combine

3a = 18                                         Divide both sides by 3

3a/3 = 18/3

a = 6

Answer:

1.

3a + 6 OR 3(a + 2)

2.

a = 6

Step-by-step explanation:

1.

(a + 2) + (a + 2) + (a + 2) = a + a + a + 2 + 2 + 2

= 3a + 6 or 3(a + 2)

2.

24 = 3a + 6

24 - 6 = 3a

18 = 3a

18/3 = 6

a = 6

sorry if I didn't show my working well enough

Answer:

C. No solution.

Step-by-step explanation:

Due to the y-intercepts (When the equation is in slope-intercept form: 1.5, and 3.5) we can identify that the equations are parallel from each other.

The slopes are the same, but the y-intercepts are different, the equations will be 2 (y) apart since each will intersect at different values. This means that both equations can't intersect with each other, making it impossible to find a solution.

Answer:

2/3

this question doesn't make sense

Answer:

$3937.50

Step-by-step explanation:

315,000 * 1.25% = 315,000 * 1.25/100 = 3,150*1.25 = 3937.5

Answer:

Step-by-step explanation:

The number of tickets sold (q) at some price p is apparently ...

  q = 150 + 25(20 -p)/2 = 150 +250 -12.5p

  q = 12.5(32 -p)

The revenue is the product of the price and the number of tickets sold:

  r = pq

  r = 12.5p(32 -p) . . . . revenue equation

__

The maximum of revenue will be on the line of symmetry of this quadratic function, which is halfway between the zeros at p=0 and p=32. Revenue will be maximized when ...

  p = (0 +32)/2 = 16

The theater should charge $16 per ticket.

__

Maximum revenue will be found by using the above revenue function with p=16.

  r = 12.5(16)(32 -16) = $3200 . . . . maximum revenue

_____

Additional comment

The number of tickets sold at $16 will be ...

  q = 12.5(32 -16) = 200

It might also be noted that if there are variable costs involved, maximum revenue may not correspond to maximum profit.

Answer:

The rate of change is 1 for both functions A and B

Step-by-step explanation:

Hope this helps!

Pls give brainliest :)

Answer:

B) [tex]f^{-1}(x)=x+2[/tex]

Step-by-step explanation:

[tex]y=x-2[/tex]

replace [tex]y[/tex] with [tex]x[/tex]:  [tex]x=y-2[/tex]

Make [tex]y[/tex] the subject: [tex]y=x+2[/tex]

Therefore, [tex]f^{-1}(x)=x+2[/tex]

Answer:

14°

Step-by-step explanation:

the angle of depression = α

tanα = 2000/8020 = 0.2494

α = 14°

The sum of the lengths of the tables and the total length of overhang

give the length of fabric that Devon needs.

Response:

The given parameters are;

Length of the small tables = 6 feet

Length of the long tables = 10 feet

Length of overhang on each end = 8 inches

Number of small tables = 12

Number of long tables = 2 × 12 = 24

Required:

The yards of fabric needed to make the table runners.

Solution;

The total number of tables = 12 + 24 = 36

Length of overhang for each table = 8 inches + 8 inches = 16 inches

Sum of the length of the overhang = 36 × 16 inches = 576 inches

From the given unit conversion factors, we have;

Sum of the length of overhang = 576 inches ÷ 12 inch/feet = 48 feet

Length of the tables = 12 × 6 feet + 24 × 10 feet = 312 feet

Total length of table runner = 312 feet + 48 feet = 360 feet

Length of table runner needed = 360 feet ÷ 3 feet/yd = 120 yd.

Learn more about unit conversion here:

https://brainly.com/question/4845674

Answer:

x=29

Step-by-step explanation:

Just as simple as substitution:

We will substitute in 16 for y

So the equation will look like 16=x-13

Isolate x:

Add 13 to both sides isolate the variable

-13+13=0

16+13=29

The new equation:

29=x

29-13 is 16.

Answer:

w=6

Step-by-step explanation:

5 + 2w = 17

Subtract 5 from each side

5-5 + 2w = 17-5

2w = 12

Divide each side by 2

2w/2  = 12/2

w = 6

Solution:

Note that:

To solve this problem, isolate the variable by subtracting 5 to both sides of the equation.

Then, divide 2 both sides to further isolate the variable.

The solution to the equation is 6.

The answer is the product

Answer:

26 in. x 9 in.

Step-by-step explanation:

27 / 9 =

3

78 / 3 =

26

9 inches by 26 inches

Answer:

The price of the piano is $311.69

Answer:

Answer:

Total cuŕved surface area of the pillars = 985.6m²Total cost of painting = Rs.5420.8

Explanation:

Given,

A cylindrical pillar with dimènsions,

r(radius) = 56/2 = 28cm. [ Since d = r/2]h(height) = 35m

There are 16 such pillars. Find the cost of paiñting the the curved surface area of all pillars 5.50/m²

Conversion of the dimensioñs in same units.

Radius = 28cm

= 28 ÷ 100 [Since 1m = 100]

= 0.28m

Cuŕved surface area of the pillar is given by,

→ 2πrh

Where,

Taking ‘π’ as 22/7

→ 2*(22/7)*(0.28)*(35)

Answer:

8 candles in plain jars and 2 candles in decorated jars

Step-by-step explanation:

Answer: 8 candles in plain jars and 2 candles in decorated jars

Step-by-step explanation:

Has to buy MORE than 5 and spend LESS than $50.00

8(3.79) = 30.32

2(8.99) = 17.98

30.32 + 17.98 =48.30

therefore she can buy 10 candles at $48.30

8 candles in plain jars and 2 candles in decorated jars

Answer: The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358

Step-by-step explanation:

50w + 100 ≥ 18000

-100 on both sides

50w ≥ 17,900

Divide both sides by 50

w ≥ 358

The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358

Answer:

-8s-4>3s+3

-8s-(-3s)>3+4

-8s+3s>3+4

-5s/-5>7/-5

s>-7/5

Answer:

Let's Convert yards into inches

Base = 40 yards = 1440 inches

Height = 25 yards = 900 inches

Base (Map)/Base (Actual)

40/1440 = 1 : 36

Height (Map)/Height (Actual)

25/900 = 1 : 36

I hope it helps you!

Step-by-step explanation:

Let's expand our knowledge even more by explaining.

The scale of the height and the width is 1 inch equals 1 yard.

the scale of the area would be 1 square inch equals 1 square yard.

for example:

the area of a triangle is equal to 1/2 * base * height.

the base on the map is 40 inches and the height on the map is 25 inches.

the area on the map is therefore 1/2 * 40 * 25 = 500 square inches.

the base in the real world is 40 yards and the height in the real world is 25 yards.

the area in the real world is therefore equal to 1/2 * 40 * 25 = 500 square yards.

the ratio of the area on the map to the area in the real world is 500 square inches / 500 square yards equals 1 square inch / 1 square yard.

that's 1 square inch to 1 square yard.

in general, if the scale in the linear measurements were a/b, then the scale in area would be (a/b)^2.

since your scale in linear measurements is 1/1, then the scale in area would be (1/1)^2 which is equal to 1/1.

assuming the scale in linear measurements were 1/2, then the scale in area would be (1/2)^2 = 1^2/2^2 = 1/4.

Answer:

Do you need help

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

The equation for finding the slope of two points is (y2-y1)/(x2-x1) and if you plug those number into the equation you get 1/6 (simplest form)

Answer:

20010

Step-by-step explanation:

20010

.

.

.

.

.

.............

Answer:

2000

Step-by-step explanation:

20089-2/0089

it can not be approximated

therefore it is 20000

It is used to analyze and verify materials for quality assurance.PMI is used to prevent potential product failure in manfunctioning.

Answer:

39.2

Step-by-step explanation:

We need to find the solution of 7 copies of sum of 8 fifths and 4.

Now, 8 fifths =

Then, sum of 8 fifths and 4 =  =

Now, 7 copies of  means that we meed to multiply  7 times

i.e. 7 copies =

i.e. 7 copies =

i.e. 7 copies = 39.2

Hence, 7 copies of sum of 8 fifths and 4 is 39.2

Answer:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

x−4y=−45x−4y=12x-4y=-45x-4y=12

The equation that represents the amount that Arian should save is S = P x 20 / 100, and she should save $12 in case of earning a $60 paycheck.

Given that Arian wants to save 20% of his paycheck is an a savings account, to determine A) an equation to represent the amount Arian should save, S, from a paycheck in the amount of P dollars; B) create a table of value with five different paycheck amounts; and D) find how much of a $60 paycheck Arian should put into his savings account; the following calculations must be made:

Therefore, the equation that represents the amount that Arian should save is S = P x 20 / 100, and she should save $12 in case of earning a $60 paycheck.

Learn more about equations in https://brainly.com/question/2263981

Hopefully this helps.