m^2+5mn+5n^2factor each polynomial completely. If a polynomial is prime, state this.

Given,

The function is:

Taking x = -x then,

The function is odd.

Answer:

d = 3

Step-by-step explanation:

I took different numbers, like 1 and 2, and multiplied them to themselves 3 times, for example, 2 x 2 x 2, but since that answer was wrong, I decided to try a different number, which was 3 and that was correct.

Solution

Complete the vertical algorithm to evaluate the product:

Therefore the product of the expression is

The values are -3 and -26

What is Multiplication?

A product is an expression that identifies the object to be multiplied, called the result of a multiplication, or coefficient. For example, 30 is the product of 6 and 5, and x\cdot is the product of x.

We have to find the number which is multiply to give the upper value and sum up to give the bottom value

So, the value of these numbers will be

-3 x -23 = 69

-3 + (-23) = -26

Hence the values are -3 and -23

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Part a: Kelsey should make 36 pendants

Part b: Kelsey needs to make 26 more pendants

Rent of the booth at the craft fair = $200

The material cost of each pendant = is $7.80

The selling cost of each pendant = is $13.50

Let Kelsey make x number of pendants

Formulating the inequality equation we get:

Selling cost of each pendant*Number of pendants >= Rent of the booth + Material cost of each pendant*Number of pendants

= 13.50x >= 200 + 7.80x

Solving the inequality we get:

13.50x >=200+7.80x

5.70x >= 200

x >= 35.08

So, she should make a total of 36 pendants

Considering that she has already made 10 pendants. She needs 26 more pendants.

Although a part of your question is missing, you might refer to this full question: Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A: Write and solve an inequality to show how many pendants Kelsey should make. Show the steps of your solutions. Part B: Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit?

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Answer:

See below for the completed table

Explanation:

A percentage is a number or ratio written as a fraction of 100. It is usually denoted using the symbol %.

To convert from percentage to fraction, divide the percentage by 100.

You can then convert the fraction to a decimal where:

Using the method described above, we calculate for the other values on the table:

The completed table is attached below.

The correct answer to this question is that m is the dependent variable and h is the independent variable.

The amount of money Trevor earns can be formulated in the form of linear equation. A Linear equation is the one which can be expressed in the form of y = ax + b where y is dependent, and x is independent variable whereas a, b are coefficients. According to question amount of money Trevor earns will depend on the number of houses he paints. If m is the amount of money Trevor earns and h is the number of houses Trevor paints. This can be formulated as

m = hx + b and in this expression, m is dependent variable and h is independent variable as his earning will depend on the number of houses he paints.

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The probability that they are the 5 oldest people in the group is 1/6.

Given that we have a group of 6 people, and we randomly select 5 of them.

We need to find the probability that they are the 5 oldest people in the group.

The total number of ways to select 5 people from a group of 6 people is given by 6C5 which is equal to 6.

This means that there are only 6 possible outcomes when we randomly select 5 people from a group of 6 people.

We know that the 5 oldest people in the group can be selected only in one way.

So, the number of favorable outcomes is 1.

Hence, the probability of selecting the 5 oldest people from the group when 5 people are randomly selected is: Probability = favorable outcomes/total outcomes Probability = 1/6

Therefore, the probability that they are the 5 oldest people in the group is 1/6.

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Answer:

6.75

Step-by-step explanation:

6.75x4 = 27 so if this is what was meant by this then heres your answer

hope this helped

have a good day ^^

The area of the shaded triangle is equal to:

the base of the shaded triangle is 4 in and the height is 5 in, then:

Therefore the shaded area is 10 squared inches.

To find the area of the running track that goes around the field, we need to follow the formula:

area of running track = outside area - inside area

1. Outside Area:

outside area = area of rectangle + 2× area of the semi- circle

= 92.52× 84.39 + π × 46.26² = 14527.32m²

2. Inside Area:

inside area = area of rectangle + 2× area of the semi- circle

= 73 × 84.39 + π × 36.5² = 10343.74m²

So, area of running track = 14527.32 m² - 10343.74m² = 4183.58m² ≈ 4184m²

Given equation:

Solve the equation to find the value of x,

Hence, x=-2/3

Answer: option B) is correct

Answer:

2(3×+6) is 96 _6 by (2×4=5) with A.X

Answer: It would be Answer D

Step-by-step explanation: He Subtracted from both sides in an incorrect order

The value of  [tex](\frac{1}{2} )^{\frac{1}{2} }[/tex] is 0.707.

1÷2 = 0.5

Given, [tex](\frac{1}{2} )^{\frac{1}{2} }[/tex]

Could be written like, [tex](0.5)^{0.5}[/tex] or √(1 ÷ 2) or √(0.5)

So the value of √(0.5) is 0.707.

Another way is to factorize each integer as the product of its primes using the square root prime factorization method. Follow these methods to find the square root of a certain number using prime factorization:

Step 1: Divide the supplied integer by its decimal equivalent.

Step 2: If the connected components are identical, a pair is generated.

Step 3: Choose one of the pair members for her.

Step 4: Multiply the prime numbers you got by picking one from each pair.

Step 5: This product is the square root of the specified number.

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[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ L(\stackrel{x_1}{1}~,~\stackrel{y_1}{-8})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ LC=\sqrt{(~~9 - 1~~)^2 + (~~-3 - (-8)~~)^2} \implies LC=\sqrt{(9 -1)^2 + (-3 +8)^2} \\\\\\ LC=\sqrt{( 8 )^2 + ( 5 )^2} \implies LC=\sqrt{ 64 + 25 } \implies LC=\sqrt{ 89 }\implies LC\approx 9.43[/tex]

Work Shown:

x = total number of coins

2% of x = 0.02x = 9 coins in the box

0.02x = 9

x = 9/0.02

x = 450 coins total

Given:

Total amount of hamburger meat = 5½ pounds

Let's find how many ¼ pound hamburgers could be made from 5½ pounds of hamburger meat.

To find how many pound hamburger could be made divide 5½ by ¼.

Thus, we have:

To perform the division, take the following steps:

Step 1:

Convert the mixed fraction to improper fraction

Step 2:

Flip the fraction on the right and change the division symbol to multiplication

Therefore, 22 of ¼ pound of hamburger could be made from 5½ pounds of hamburger meat.

ANSWER:

22

Given:

Required:

To find the distance from point B to line AC.

Explanation:

The point B touches the line AC at P.

And it is perpendicular.

The length of BP is 4.3.

Therefore, the distance from point B to line AC is 4.3.

Final Answer:

The distance from point B to line AC is 4.3.

The ratio table can be used to find the amount earned and the number of hours worked based on the ratio of the values as follows;

a. A person that works for 8 hours earns $72

b. A person that earns $270 worked for 30 hours

c. The ratio is 9 : 1

d. The earnings of a person that works for 24 hours is $216

A ratio table is one that shows the constant relationship between the value pairs on the table.

The given ratio table is presented as follows;

Hours Worked; 4, 12, 16, ?

Money Earned; 36, 108, 144,

Required;

a. The amount a person will earn if he or she works for 8 hours

Solution;

Let x represent the hours worked, and let y represent the money earned

y = k•x

Therefore;

k = y/x

From the ratio table, we have;

k = 36/4 = 108/12 = 144/16 = 9

k = 9

y = 9•x

The amount earned, y for working 8 hours, x is therefore;

y = 9 × 8 = 72

The amount earned for working 8 hours is $72

b. The number of hours worked if a person earns $270

If a person earned $270, we have;

270 = 9 × x

x = 270/9 = 30

The number of hours worked if a person earned $270 is 30 hours

c. The ratio associated with the table in the simplest form is 36 : 4 = 9 : 1

d. The amount earned if a person worked 24 hours

Solution;

y = 9•x

Which gives;

y = 9 × 24 = 216

The amount earned if a person worked 24 hours is $216

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Given,

A population doubles every 27 years.

a. Let initial population be 1 and after 27 years it becomes 2.

Considering r as the rate of annuall growth we have,

Thus annual growth rate is 2.6%

b. For continuous growth,

The continuous growth rate is _2.5___% per year

The number sand bags required are 84 approximately.

Given, we have:

Diameter of garden = 38 yd

Width of path = 5 yd

Diameter of garden with path = 38 + 2 x 5 = 48 yd

We need to find area of path.

Area of path = Area of garden with path - area of garden

Area of path = π × 48²/4 - π × 38²/4

Area of path = 7234.56/4 - 4534.16/4

Area of path = 1808.64 - 1133.54

Area of path = 675.1 yd²

Area covered by one sand bag = 8 yd²

Number of sand bags required =  Area of path/Area covered by one sand bag

=675.1/8

= 84.38 ≈ 84

Number of sand bags needed = 84

Therefore, number of sand bags required are 84.

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Consider that the Bob's Golf Palace bought the set of golf clubs by $390.

Moreover, take into account that the golf clubs were markes on sale for $840.

The profit is only the difference between the marked on sale and the money Bob's Golf Palace payed:

$840 - $390 = $450

Hence, the profit was $450

we are given the following polynomial:

we are asked to use synthetic division by:

first we need to find the root of "x + 2":

Now we do the synthetic division using the following array:

Now we lower the first coefficient and multiply it by -2 and add that to the second coefficient:

Now we repeat the previous step. We multiply -7 by -2 and add that to the next coefficient:

Now we repeat the previous step. we multiply 12 by -2 and add that to the next coefficient:

The last number we got is the residue of the division, in this case, it is 0. Now we rewrite the polynomial but we subtract 1 to the order of the polynomial:

Answer:

  12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

  f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

  area ≈ 12.123 . . . square units

__

Additional comment

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.

The given sets are

That means A is all real numbers from 2 to negative infinity, and B is all real numbers between 7 and positive infinity

Then we can find the union and intersection

I will draw a sketch to show you the intersection

We can see that there is NO intersection between A and B, then

[tex]\boxed{ \large\displaystyle\text{$\begin{gathered}\sf \bf{-8\leq 10-2x < 28 } \end{gathered}$} }[/tex]

Separate the inequality compound in the inequality system.

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{{\left\{ \begin{array}{r}10-2x\geq -8 \\ 10-2x < 28 \ \end{array} \right.} } \end{gathered}$} }[/tex]

Order the unknown terms to the left side of the equation.[tex]\boxed{\bf{-2x < 28-10 }}[/tex]

Calculate the sum or difference.

[tex]\boxed{\bf{-2x < 18 }}[/tex]

Divide both sides of the equation by the coefficient of the invariable.[tex]\boxed{\bf{x > -\frac{18}{2} }}[/tex]

Clear the common factor

[tex]\boxed{\bf{x > -9} }}[/tex]

Order the unknown terms to the left side of the equation.

  [tex]\boxed{\bf{-2x\geq -8-10 }}[/tex]      

Calculate the sum or difference.

[tex]\boxed{\bf{-2x\geq -18 }}[/tex]

Divide both sides of the equation by the coefficient of the invariable.

[tex]\boxed{\bf{x\leq \frac{-18}{-2} }}[/tex]

Determine the sign of multiplication and division.

[tex]\boxed{\bf{x\leq \frac{18}{2} }}[/tex]

Clear the common factor

[tex]\boxed{\bf{x\leq 9}}[/tex]

[tex]\boxed{ \large\displaystyle\text{$\begin{gathered}\sf \bf{x > -9 \ and \ x\leq 9 } \end{gathered}$} }[/tex]

We find the intersection.

Answer = [tex]\boxed{ \large\displaystyle\text{$\begin{gathered}\sf \bf{-9 < x\leq 9 } \end{gathered}$} }[/tex]

We need to find a situation that can be represented by the inequality below:

This means that there must be a variable for which each unit has a value of 1.25. There must be a fixed cost of 6.5, because we are subtracting that value and the end goal must be to have more than 50.

The only option for which this applies is the option D.

Caleb spent a fixed amount of 6.5, he earns 1.25 for each lemonade he sells and he wants to have a profit of more than 50.

ANSWER

36°

EXPLANATION

Let a and b be the measures of the two angles. We know that they are complementary, so their measures add up to 90°. Also, we know that the quotient between their measures is 2/3,

Solve the second equation for a,

Replace a with this expression in the first equation,

Add like terms,

Solving for b,

So the other angle is,

Hence, the measure of the smaller angle is 36°.

Answer:

it's wh question I think