What are the factors of the polynomial?

(2x+3)(x+1)
(2x−3)(x−1)
(3x+2)(x+1)
(3x−2)(x−1)

Step-by-step explanation:

if there is no typo the expression is :

7 + 5c + 4d - 8c + d

to simplify combine all terms with the same variable and exponent of that variable.

so, this is

7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d

Answer:

-3c+5d+7

Step-by-step explanation:

Distance of upper bond and lower bond is 120,000 and 150,000 centimeter

Given:

Number of steps walk = 1500 steps

Each step count = 90 centimeters

Correction in each step = 10 cm nearest

Find:

Lower bound and upper bound for d

Computation:

Lower bound step length = 90 - 10

Lower bound step length = 80 centimeters

Upper bound step length = 90 + 10

Upper bound step length = 100 centimeters

Lower bound d = 1500 × 80

Lower bound d = 120,000 centimeters

Upper bound d = 1500 × 100

Upper bound d = 150,000 centimeters

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Answer:

heheghgcfyhcggh I am a bit of a bit of a bit of a bit of a bit of a bit of a bit

The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft

Given that A rectangle garden is to be constructed so that the width is 150 ft and atmost fencing can be used is 1200ft and asked to find the possible values of length of the rectangle garden.

It mean maximum value of perimeter = 1200ft

The minimum perimeter can be 2(150+151)=602ft as the length of rectangle must be greater than the bredth of rectangle

Therefore the minimum value of length of rectangle is 151 feet

The maximum perimeter is 1200ft

1200=2(150+length of rectangle)

Maximum value of the length of the rectangle=450ft

Therefore,The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft

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hi

budget is  170

we have  20 players and all of them need a package at  7.5 each.

So for 20 players  total amount spend is  :   20*7.5 = 150

there is  3.99 shipping cost

total spendings :   150 + 3.99 = 153.99

AS budget is  170 , so remais  :  170 - 153.99 = 16.01  

Answer:

A because of the way the pipe is designed

Answer:

A would be reflected on the y-axis first then translated up 6 units

Step-by-step explanation:

Answer:

your answer is 7/2

Answer:

(1, 7)

(2, 14)

(3, 21)

(4, 28)

Step-by-step explanation:

The net decimal equivalent of the series 40/15/30 is 0.357;

Here we assume let X be retail price.

So,

X - 0.40 × X = Y    ⇒ first discounted price.

Y - 0.15 × Y = Z    ⇒ second discounted price.

Z - 0.30 × Z = T        ⇒ total discounted price.

Now

X - 0.40 × X = (1 - 0.40) × X = 0.60 × X = Y

Y - 0.15 × Y = (1 - 0.15) × Y = 0.85 × Y = Z

Z - 0.30 × Z  = (1 - 0.30) × Z  = 0.70 × Z = T

Also, Z = 0.85 × Y, then 0.70 × Z = 0.70 × 0.85 × Y

And, Y = 0.60 × X, then 0.70 × Z = 0.70 × 0.85 × 0.60 × X

So,

= 0.70 × 0.85 × 0.60 × X

= 0.357X;

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Answer:

the answer will be c....

The correct option is The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given that, we are asked to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation,

So, if we are asked to find the x-intercept, so simply by the definition of intercepts we are asked to find where is the line cutting the x-axis, and as we know that, when a line cuts x-axis its y-intercept we automatically be 0.

So, the answer to this will be, the line cut the x-axis is its x-intercept thus, making y-intercept zero.

Hence, the correct option is the x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0

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The area and the perimeter are 18x^2 + 63x and 22x + 14

The given parameters are

Length = 9x

Width = 2x + 7

The area is calculated as

Area = Length * Width

So, we have

Area = 9x * (2x + 7)

This gives

Area = 18x^2 + 63x

The perimeter is calculated as

P = 2 * (Length + Width)

So, we have

P = 2 * (9x + 2x + 7)

Evaluate

P = 22x + 14

Hence, the area and the perimeter are 18x^2 + 63x and 22x + 14

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Answer:

12

Step-by-step explanation:

Answer: 13 cm x 9cm is the correct answer:)

f the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb

Let the gray suitcase be represented by g

Let the pink suitcase be represented by p

Let the blue suitcase be represented by b

The gray suitcase weighs 11 lb more than the pink suitcase

g    =   p   +   11........(1)

The pink suitcase weighs 5 lb than the blue suitcase.

p   =  b  +  5

b  =  p  -  5...........(2)

Total of 3 suitcases = 127 lb

p  +  b  +  g    =  127............(3)

Substitute equations (1) and (2) into equation (3)

p  +  p  - 5 + p  +  11   =  127

3p  +  6   =  127

3p   =  127  -  6

3p   =  121

p  =  121/3

p  = 40.3 lb

Substitute p = 40.3 into equation (2)

b = p - 5

b  = 40.3  - 5

b  =  35.3

The blue suitcase weigh 35.3 lb

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Answer: 5x4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

5x=20

divide both side by the coefficient of x

5x/5=20/5

x=4

Answer:

x=4

Step-by-step explanation:

6+14=5x

Add 6 and 14 which is equal to 20.

You will get 20=5x which you will then divide by 5 inorder to solve for x.

X=4

Pull out like factors :

5x - 20 = 5 • (x - 4)

Solve : 5 = 0

This equation has no solution.

A a non-zero constant never equals zero

Solve : x-4 = 0

Add 4 to both sides of the equation :

x = 4

Answer: 4/17

0.2353

0.24

Step-by-step explanation:

4 blue jelly beans. 17 total jelly beans.

4/17=0.235294

0.235294=0.2353

0.2353=0.24

The product of 84.12 and 19.3 will have three decimal places.

Here, we are given a number 84.12. As we can see this number has 2 decimal places. We need to find a number such that when it is multiplied by 84.12, the result has 3 decimal places.

Let us look at each option one by one,

1. 4.22

4.22 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.

2. 10.51

Again, 10.51 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.

3. 14.163

14.163 has 3 decimal places and hence if we we multiply it by 84.12, it will give us 5 decimal places. Thus, it is not the correct option.

3. 19.3

19.3 has 1 decimal place and hence if we we multiply it by 84.12, it will give us 2 decimal places. Thus, 19.3 is the correct option.

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Your question was incomplete. Check for full content below-

The product of 84.12 and which number will have three decimal places? 4.22

10.51

14.163

19.3

Answer:

The answer should be B.

Answer:

Exact Distance = [tex]\boldsymbol{\sqrt{73}}[/tex] units

Approximate Distance = 8.544 units

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

Explanation:

I'll relabel the points as A and B, and I'll be using the distance formula.

[tex]A = (x_1,y_1) = (-2,4) \text{ and } B = (x_2, y_2) = (6,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-6)^2 + (4-1)^2}\\\\d = \sqrt{(-8)^2 + (3)^2}\\\\d = \sqrt{64 + 9}\\\\d = \sqrt{73}\\\\d \approx 8.544\\\\[/tex]

The exact distance is [tex]\sqrt{73}[/tex] units.

The approximate distance is roughly 8.544 units.

Round the approximate value however your teacher instructs.

The value of the expression p² + 13 will be A. 29.

It should be noted that the expression given is that p² + 13 and we are told that p = -4.

Therefore, we have to put the value of p into the expression. This will be:

p² + 13

= (-4)² + 13

= 16 + 13.

= 29

The value is 29.

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Answer:...

Step-by-step explanation:

Answer:

Step-by-step explanation:

444

Eigenvalues are the special set of scalar values that is associated with the set of linear equations most probably in the matrix equations. The eigenvectors are also termed as characteristic roots. It is a non-zero vector that can be changed at most by its scalar factor after the application of linear transformations.

0 Eigenvalue

3 Eigenvalue

The y values of any nxn matrix A that adhere to the following criteria are considered to be its eigenvalues.

When I is the order n identity matrix, det(A - yI) = 0.

In this case, A = [1 2; 1 2], I = [1 0; 0 1], and yI = [y 0; 0 y]. I've added a new line in this notation with ;.

A - yI = [1-y 2; 1 2-y]

det(A - yI) = 1 - y* In other words, - 2 = = 2 - y - 2y + y2 - 2 = 0 = y2 - 3y = 0 = y(y-3) = 0.

y = 0 or y - 3 = 0

y = 3

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Bar charts and pie charts are the best graphs to use for nominal or ordinal data.

Bar graphs are graphical representations of data (usually grouped) in the form of horizontal or vertical rectangular bars, with the length of the bars proportional to the data measure.

Thus, for nominal and ordinal variables, bar charts or even pie charts are most commonly used.

Line charts as well as histograms are the most common ways to represent scale variables.

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Answer:

Step-by-step explanation:   1x,2y

The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.

In this problem we have the following rational equation, which is equivalent to the following sum of functions:

f(x) = (x + 4) / x = 1 + 4 / x = g(x) + h(x)

Then, we must find both the derivatives of the functions g(x) and h(x) by using the definition of derivative:

g(x):

g'(x) = [1 - 1] / h

g'(x) = 0 / h

g'(x) = 0

h(x):

h'(x) = [4 / (x + h) - 4 / x] / h

h'(x) = [4 · x - 4 · (x + h)] / [h · (x + h) · x]

h'(x) = - 4 · h / [h · (x + h) · x]

h'(x) = - 4 /[(x + h) · x]

If h = 0, then:

h'(x) = - 4 / x²

Then, the first derivative of the function is f(x) = - 4 / x². Now we evaluate the function at x = 4:

f(4) = - 4 / 4²

f(4) = - 1 / 4

The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.

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The solution to the given equation are -2/5 and 1

Linear equation are equation that has a linear degree of 1. The standard linear equation is expressed as y - mx + b

Given the equation below:

(5v +2)(1 - v) = 0

Equate both expressions to zero to have:

5v+2 = 0 and 1 -v = 0

For the expression 5v+2 = 0

5v = -2

v = -2/5

Similarly

1 - v = 0

v = 1 + 0

v = 1

Hence the solution to the given equation are -2/5 and 1

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Answer:

4(3j + 4 + j) the amount of money sarah can make is (3 Js plus 4 plus J) times 4

Step-by-step explanation:

The Average return rate for the investment will be 3.2%.

The Return Rate can be defined as a profit that is made on investment .

In the Question

let the investment be "x" .

25% stocks in Company A have return rate of 6%.

Investment in Company A = (25% of x)

Return is 6% of investment = (25% of x) + 6% of (25% of x)

Return from company A= (25% of x)(1+0.06)     ...as 25%=0.25 & 6%=0.06

                                        = 0.25*x*(1.06)     ...(i)

40% stocks in Company B have return rate of 2.5%.

Investment in Company B = (40% of x)

Return is 2.5% of investment = (40% of x) + 2.5% of (40% of x)

Return from company A = (40% of x)(1+0.025)         ...

                                        = 0.40*x*(1.025)     ...(ii)

Stocks in Company C = 100 - 25 - 40 = 35%

35% stocks in Company C have return rate of 2%.

Investment in Company C = (35% of x)

Return is 2.5% of investment = (35% of x) + 2% of (35% of x)

Return from company C = (35% of x)(1+0.02)         ...

                                        = 0.35*x*(1.02)     ...(iii)

Total Return = Return from Company A + Return from Company B + Return from Company C .

From equation (i) ,(ii) and (iii) we get

Total Return = 0.25*x*(1.06) + 0.40*x*(1.025) + 0.35*x*(1.02)

= 0.265x + 0.41x + 0.357x

= 1.032x

The Average rate of return  = [tex]\frac{return- investment }{investment } \times100[/tex]

Substituting the value we get,

= (1.032x - x ) / x  *100

= 0.032x /x  * 100

= 0.032*100

= 3.2%

Therefore , the Average return rate for the investment will be 3.2%.  

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