Is the following statement true or false?
The intersection of two lines can be a line segment.

The correct option of the expressions is 6x^2 + 17x + 5.

To find the product of the given expressions, we need to use the distributive property of multiplication. We can multiply each term in the first expression with each term in the second expression and then add the resulting products.

Option (2x + 5) (3x + 1) can be expanded using the distributive property as follows:

= 2x(3x) + 2x(1) + 5(3x) + 5(1)
= 6x^2 + 2x + 15x + 5
= 6x^2 + 17x + 5

Option (x + 5) (3x - 2) can be expanded as:

= x(3x) + x(-2) + 5(3x) + 5(-2)
= 3x^2 - 2x + 15x - 10
= 3x^2 + 13x - 10

Therefore, the correct option is 6x^2 + 17x + 5.

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Answer:

gang gang shii

Step-by-step explanation:

gang gang.

I will advise Greg to find two coordinates on the line by looking for the x and y-intercept

Given the equation of the line that Greg wants to plot expressed as 6x + 4y = 12, in order for him to choose the easiest values possible to complete a table, I will advise him to do the following:

Find two coordinates on the line by looking for the x and y-intercept

The x-intercept is the point where y = 0

If y = 0

6x + 4(0) = 12

6x = 12

x = 12/6

x = 2

Hence the corresponding x and y values he can use in the table is (2, 0)

Similarly for the y-intercept:

The  y-intercept is the point wher x = 0

If x = 0

6(0) + 4y = 12

4y = 12

y = 12/4

y = 3

Hence the corresponding x and y values he can use in the table is (0, 3)

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Answer:

The slope of this line is 4/1 or just 4.

Step-by-step explanation:

In order to get from one red dot to the other, you go up 4 and over 1. The entire line's formula is y=4x-2

Answer:

A

Step-by-step explanation:

geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2

Answer:

no

Step-by-step explanation:

i just know

half of room because worker A can paint fast so he will paint fast

Answer:

5/6 of the room would be painted if both of them painted the room together in 1 hour

Step-by-step explanation:

Work done by A in 1hour=1/2

Work done by B in 1hour=1/3

Therefore total work done by both in 1hr=1/2+1/3

LCM of 2 and 3 is 6

therefore 1/2+1/3=3/6+2/6=5/6

Answer:

27.93 square yard

Step-by-step explanation:

For semicircle:

Radius (r) = 7 yards

For Triangle:

b = 2r = 2*7 = 14 yd

h = 7 yard

Area of shaded region = Area of semicircle - Area of triangle

\( = \frac{1}{2} \times \pi {r}^{2} - \frac{1}{2} \times b \times h \\ \\ = \frac{1}{2} \times 3.14 \times {7}^{2} - \frac{1}{2} \times 14\times 7 \\ \\ = \frac{1}{2} \times 3.14 \times 49 - \frac{1}{2} \times 98\\ \\ = 3.14 \times 24.5 - 49 \\ \\ = 76.93 - 49 \\ \\ = 27.93 \: {yd}^{2} \\ \)

if y is multiplied by 1/3, then the value of y changes by a factor of k = 1/3.

We know that there is a proportional relationship between x and y.

Such that if y is multiplied by 1/3, then the value of y changes by a factor of k.

This is trivial, the factor will be the same number multiplying y, we need to write:

y*(1/3) = k*y

If we divide both sides by y:

k = 1/3

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Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

If the dimensiοns οf the secοnd sοlid are x by x by h, the first sοlid has 4xh mοre surface area than the secοnd sοlid.

Surface area is the measure οf the tοtal area that the surface οf a three-dimensiοnal οbject οccupies. It is the sum οf the areas οf all the faces οr surfaces οf the οbject. The surface area is usually expressed in square units, such as square inches, square meters, οr square centimeters.

• The bases are cοngruent.

True. Since bοth rectangular sοlids have a square base, the bases οf bοth sοlids have the same shape and size.

• The sοlids are similar.

True. Similar figures have the same shape but nοt necessarily the same size. The twο rectangular sοlids have the same shape, since οne has twice the height οf the οther, and bοth have square bases.

• The ratiο οf the vοlumes οf the first sοlid tο the secοnd sοlid is 8:1.

True. Let the side length οf the square base οf the smaller rectangular sοlid be x, and let its height be h. Then, the vοlume οf the smaller sοlid is V1 = x²h.

The larger rectangular sοlid has twice the height, sο its height is 2h. The side length οf its square base is alsο x, sο its vοlume is

V2 = x²(2h) = 2x²h.

Therefοre, the ratiο οf the vοlumes is V1:V2 = x²h : 2x²h = 1:2.

This is equivalent tο 8:1, since 2³ = 8.

• The vοlume οf the first sοlid is twice as much as the vοlume οf the secοnd sοlid.

False. As shοwn abοve, the ratiο οf the vοlumes is 8:1, which means that the vοlume οf the secοnd sοlid is eight times smaller than the vοlume οf the first sοlid.

• If the dimensiοns οf the secοnd sοlid are x by x by h, the first sοlid has 4xh mοre surface area than the secοnd sοlid.

False. Let the dimensiοns οf the smaller rectangular sοlid be x by x by h, and let the dimensiοns οf the larger rectangular sοlid be x by x by 2h.

The surface area οf the smaller sοlid is given by A1 = 2(xh + x²), since it has twο cοngruent faces with area x² and fοur faces with area xh.

The surface area οf the larger sοlid is given by A2 = 2(2xh + x²), since it has twο cοngruent faces with area x² and fοur faces with area 2xh.

Therefοre, the difference in surface area is A2 - A1 = 2xh, which is nοt equal tο 4xh.

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When developing a multiple-year operating forecast, all of the following factors are typically important:

1. Historical Data: Analyzing past performance and trends is crucial for understanding the company's financial position and making informed projections.

2. Market Analysis: Evaluating the current market conditions, industry trends, and competitive landscape helps identify opportunities and potential risks that can impact the forecast.

3. Strategic Goals and Objectives: Aligning the forecast with the organization's long-term goals and objectives ensures that it supports the company's overall strategic direction.

4. Economic Factors: Considering macroeconomic indicators such as GDP growth, inflation rates, interest rates, and exchange rates helps anticipate how the broader economy might affect the business.

5. Internal Factors: Assessing internal factors like sales pipelines, production capacity, staffing levels, and operational efficiencies allows for a more accurate forecast based on the company's specific capabilities.

6. Assumptions and Scenarios: Developing a range of scenarios based on different assumptions helps account for uncertainties and provides a comprehensive view of potential outcomes.

7. Financial Analysis: Conducting financial analysis, including ratio analysis, cash flow projections, and profitability assessments, helps validate the feasibility and sustainability of the forecast.

Given that all the factors mentioned above are important for developing a multiple-year operating forecast, none of them can be considered unimportant in this context.

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Lets start with the basics. 12,765 books are in total. We need to take 398 from that. 12765 - 398 = 12367. That means x people returned the book to reach 12,479. 12,479 - 12367 = x. X = 112.

112

Answer:

yes clearly

Step-by-step explanation:

using rules of divisibility it is divisible

using your calculator it is divisible

the answer is 44

Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

Answer:

1.6538×\(10^-8\)

Step-by-step explanation:

Note : It is not given expression

·\(6^-10\\=\frac{1}{6^10\\}\\=\frac{1}{(6)(6)(6)(6)(6)(6)(6)(6)(6)(6)} \\=\frac{1}{60,466,176} \\\)

=1.6538×\(10^-8\)

In a simple graph with a shortest cycle of length 4, there can be at most one vertex with degree n-1.



Suppose G is a simple graph on n vertices, and the shortest cycle in G has length 4. Let v be a vertex of G. If v has degree n-1, then all other vertices must be adjacent to v. In particular, any two non-adjacent vertices u and w must be adjacent to v in order to form a cycle of length 4. However, this contradicts the assumption that the shortest cycle in G has length 4, since there exists a cycle of length 3 (u-v-w).

Hence, if the shortest cycle in G has length 4, no vertex can have degree n-1. Now suppose there are two vertices, u and w, with degree n-2. If there exists a path from u to w of length greater than 2, we can add u-w to this path to form a cycle of length greater than 4, which contradicts the assumption. Therefore, the only possibility is that u and w are adjacent. But this means there exists a cycle of length 3 (u-v-w), again contradicting the assumption.

Therefore, if the shortest cycle in G has length 4, G can contain at most one vertex of degree n-1.

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Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.

Let's denote the running time of the algorithm for an input of size n as t(n).

For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:

t (1) = C1

For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.

Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.

Considering these factors, we can write the recurrence relation for the running time as:

t(n) = 2t(2n/3) + C2

Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:

c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2

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Answer:

m = 1

Step-by-step explanation:

4 x 1 + 3 = 7

Answer:  Addition property

Step-by-step explanation:

In the equation 4m + n = 7  , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7   so 3 has been added on each side.

On calculation by combination, it is found that there are 17,341,448 ways scholarships can be awarded.

Given that Blackhawk Tech gives four Presidential Scholarships and there are 53 nominees, the number of ways scholarships can be awarded is to be determined. Here, we can use the concept of combinations and permutation to find the answer.

Permutation: It is defined as the arrangement of objects in a specific order. The formula to find permutation is given as:

nPr = n!/(n - r)!,

where n is the total number of objects and r is the number of objects being arranged.

Combination: It is defined as the selection of objects without any specific order. The formula to find combination is given as:

nCr = n!/[r! (n - r)!],

where n is the total number of objects and r is the number of objects being selected.

Now, to find the number of ways scholarships can be awarded, we need to select four nominees out of 53 nominees without considering the order in which they are selected. So, here we will use the combination formula, which is as follows:

nCr = n!/[r! (n - r)!]

53C4 = 53!/[4! (53 - 4)!]

53C4 = 53!/[4! 49!]

53C4 = (53 × 52 × 51 × 50)/(4 × 3 × 2 × 1)

53C4 = 416,214,750/24

53C4 = 17,341,447.92

Therefore, the number of ways scholarships can be awarded is 17,341,448.

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Answer:

b, or 1b

Step-by-step explanation:

First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Therefore , as a result, the x, y, and z axes are the axis that the supplied coordinate plane problem is solved with.

The phrase "coordinate plane" describes a two-dimensional area made up of two rational numbers. It appears at the point where the X and Y axes connect, called the origin. A coordinate grid's numbers can be used to find points.

Here,

The x, y, and z axes of the Cartesian coordinate system,

which is used to represent three-dimensional space, are three axes that are mutually perpendicular to one another.

The origin is the location where the three axes converge.

Therefore , as a result, the x, y, and z axes are the axis that the supplied coordinate plane problem is solved with.

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Answer:

y = - 3

Step-by-step explanation:

Given the 2 equations

6x + 11y = - 3 → (1)

4x + y = = 17 → (2)

Multiplying (1) by 4 and (2) by - 6, then adding will eliminate the term in x

24x + 44y = - 12 → (3)

- 24x - 6y = - 102 → (4)

add (3) and (4) term by term to eliminate x

0 + 38y = - 114

38y = - 114 ( divide both sides by 38 )

y = - 3

Answer:

uk = 67

europe = 84

USA = 82

Africa = 69

other = 58

Step-by-step explanation:

Answer:4/15

Step-by-step explanation:

Let the total pocket money be 1 (since she spent fractions of her money)

Total spent = 3/5 + 2/15 = 11/15

Thus, fraction of money left = 1-(11/15)= 4/15.

Hope this helps! :)

Answer:

Multiply 5/7 by 3

Step-by-step explanation:

To find the quotient (division) multiply by the reciprocal. The reciprocal of 1/3 is 3.

Answer:

A ≈ 32.03 m²

Step-by-step explanation:

since the 3 sides are congruent then the triangle is equilateral.

the area (A) of an equilateral triangle is calculated as

A = \(\frac{s^2\sqrt{3} }{4}\) ( s is the side length )

  = \(\frac{8.6^2\sqrt{3} }{4}\)

  = \(\frac{73.96\sqrt{3} }{4}\) ( divide numerator/denominator by 4 )

  = 18.49 × \(\sqrt{3}\)

  ≈ 32.03 m² ( to 2 decimal places )