which fraction is equivalent to 3?​

Option D

Answer:

The factors of [tex]x^{2} + 9 x + 8[/tex] is (x + 8)(x +1)  

Solution:

From question, given that [tex]x^{2} + 9x + 8[/tex]

To factorise the given equation, follow the below steps:

9x can be rewritten as 8x + 1x. Hence the above given equation becomes,

[tex]x^{2} + 9x + 8 = x^{2} + 8x + 1x + 8[/tex]

Rearranging the terms, we get

[tex]= x^{2} + 1x + 8x + 8[/tex]

Taking x as common from first two terms and 8 as common from last two terms, the above equation becomes,

= x(x+1)+8(x+1)

Since (x +1) is common in both the terms, we get

= (x +1)(x+8)

Hence the factors of [tex]x^{2} + 9x + 8[/tex] is (x + 8)(x +1)  

Answer:

D

Step-by-step explanation:

Answer:

The value of b is -13

Step-by-step explanation:

* Lets explain how to find a and b

- In any rational function f(x), if the degree of the denominator =

 the degree of the numerator, then there is a horizontal asymptote

 at y = coefficient of higher x of the numerator ÷ coefficient of higher

 x of the denominator

- Removable discontinuity means the numerator and denominator of

 the rational function have common factor will reduce when we

 simplify the fraction

- Discontinuity occurs when a number is both a zero of the numerator

 and denominator

* Lets solve the problem

∵ [tex]f(x)=\frac{ax^{2}+bx+2}{2x^{2}-8}[/tex]

∵ The degree of numerator and denominator is 2

∵ The coefficient of x² in the numerator is a

∵ The coefficient of x² in the denominator is 2

∴ The horizontal asymptote is at [tex]y=\frac{a}{2}[/tex]

∵ The graph of f has a horizontal asymptote at y = 3

∴ [tex]\frac{a}{2}=3[/tex]

- By using cross multiplication

∴ a = 6

∴ [tex]f(x)=\frac{6x^{2}+bx+2}{2x^{2}-8}[/tex]

∵ The function f has a removable discontinuity at x = 2

∵ Discontinuity occurs when a number is both a zero of the numerator

  and denominator

∴ 2 is a zero of the numerator

∴ 6x² + bx + 2 = 0 at x = 2

- Substitute x by 2 to find b

∴ 6(2)² + b(2) + 2 = 0

∴ 6(4) + 2b + 2 = 0

∴ 24 + 2b + 2 = 0

∴ 26 + 2b = 0

- Subtract 26 from both sides

∴ 2b = -26

- Divide both sides by 2

∴ b = -13

b = -13

Step-by-step explanation:

Given :

[tex]\rm f(x) = \dfrac{ax^2+bx+2}{2x^2-8}[/tex]   ----- (1)

The graph of f has a horizontal asymptote at y = 3 and f has a removable discontinuity at x = 2.

Solution :

Horizontal assymptote is

[tex]y = \dfrac{a}{2}[/tex]

because in equation (1) coefficient of [tex]x^2[/tex] is 'a' is in numerator and '2' is in denomenator.

So,

a = 6

Now equation (1) becomes,

[tex]\rm f(x) = \dfrac{6x^2+bx+2}{2x^2-8}[/tex]   ------ (2)

Given that discontinuity at x = 2, so denomenator of equation (2) is zero at x = 2. Therefore

[tex]\rm 6x^2 + bx + 2 = 0[/tex]

[tex]6(2^2) + 2b +2 = 0[/tex]

-26 = 2b

b = -13

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Answer:

I would say 3000

Step-by-step explanation:

Final answer:

To calculate how many people are registered after 4 weeks, apply the formula for exponential growth using the initial 50 users and the 15% weekly growth rate, which gives us 87 registered users after rounding to the nearest whole number.

Explanation:

The process of calculating the number of registered users after 4 weeks with a weekly growth rate of 15% involves using the formula for exponential growth. You start with the initial number of users which is 50 and multiply this by 1 plus the growth rate raised to the power of the number of time periods, which in this case is 4 weeks.

The equation to calculate the number of users after 4 weeks will be 50 × [tex](1.15)^4[/tex].

Now we calculate: 50 × [tex](1.15)^4[/tex] = 50 × 1.749 = 87.45, which when rounded to the nearest whole number is 87 registered users.

Answer:

Step-by-step explanation:

(a) A graph's domain is the set of X values that can be provided to the graph. Based on the picture, we can provide any values to the graph, so the domain is (-∞, ∞)

(b) A graph's range is the set of Y values that can be returned from the graph. Based on the picture, the graph can not return any value lower than 1, so the range is [1, ∞)

(c) The X-intercept is where the graph crosses the X-axis (or the horizontal line where Y = 0). The graph doesn't cross the X-axis, so there are no X-intercepts.

(d) The Y-intercept is where the graph crosses the Y-axis (or the vertical line where X = 0). The graph crosses the Y-axis at Y = 5, so a Y-intercept is (0, 5).

(e) f(1) is the Y value where X = 1, which is 4. f(5) is the Y value where X = 5, which is 2.

The graph represents a quadratic function. The vertex can be found using x = -b/2a. To find the x-intercepts or zeros, set the function equal to zero. The y-intercept can be found by substituting x = 0.

The graph represents a quadratic function because the shape of the graph is a parabola. A quadratic function is a polynomial function of degree 2. In this case, the vertex of the parabola can be found by using the equation x = -b/2a, where a and b are the coefficients of the quadratic function. The vertex is an important point on the graph as it represents the maximum or minimum value of the function.

To find the x-intercepts or zeros of the function, set the function equal to zero and solve for x. The x-intercepts are the points where the graph crosses the x-axis. To find the y-intercept, substitute x = 0 into the function and solve for y. The y-intercept is the point where the graph crosses the y-axis.

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Answer:

C I think

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees. So, we have 71 degrees. Subtract 180-71= 109. That is how I figured it out. Forgive me in advance if it is wrong.

Hope this helps!!!

Brady

Answer:

0

Step-by-step explanation:

[tex] \sqrt{2 \times 5 \times 5 } - \sqrt{2 \times 3 \times 3} - \sqrt{2 \times 2 \times 2} \\ 5 \sqrt{2} - 3 \sqrt{2} - 2 \sqrt{2} \\ (5 - 3 - 2) \sqrt{2} \\ 0 \times \ \sqrt{2} \\ 0[/tex]

Answer:

Example 1: 4√2; 1. 3√5 + 2

Step-by-step explanation:

1. √¼ + √9⁄4 - √45

½ + 1½ + 3√5 = 3√5 + 2

Example 1: √50 - √18 + √8

5√2 - 3√2 + 2√2 = 4√2

So, the way this works is to find two factors where one of them is a non-perfect square and the other is a perfect square. You factor out the POSITIVE root and leave the non-perfect square factor inside the radical.

I am joyous to assist you anytime.

To find F(0) from a graph, you must locate the point where x equals 0 and read the corresponding y-coordinate for F(x). If the graph shows a flat, zero-slope line, then the value of F(x) would be the same for all x, including F(0).

From the given question, we are asked to find what the function F equals when x=0. This is indicated on the graph by locating the point where x=0 and reading the corresponding y coordinate. If the graph of the function is a straight line with zero slope, this indicates no relationship between x and y. To illustrate, let's assume the graph for F(x) is a line that is flat, that is, it shows zero rise over the run, where the slope is zero. This means for all x values, F(x) will be the same constant. Thus, in this case, F(0) would be equal to this same constant.

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Based on the graph of this function f(x), the output value for f(0) is given by;

f(0) = -2.

In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept and x-intercept:

y-intercept = (0, -2)

x-intercept = (-4, 0).

Therefore, y is -2 when the value of x is 0;

f(0) = -2.

In conclusion, the graph of this linear function does not represent a proportional relationship.

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Missing information:

The question is incomplete and the missing graph is shown in the attached picture.

Answer:

Step-by-step explanation:

100, ten thousands in 1 million.  

1,000,000 divided by 10,000

So we know that we have to find how much 10,000 are in a million

To find this answer, divide 1,000,000= 1 million with 10,000 to find how much 10,000 are in a million.

1,000,000 divide 10,000= 100.

So 100 is how much 10,000 are in a million.

Final result: 100.

Answer: One 8-cm pipe (Its is greater than the total area of of two 4-cm pipes)

Step-by-step explanation:

The area of a circle can be calculate with this formula:

[tex]A=\pi r^2[/tex]

Where "r" is the radius of the circle.

We need to calculate the area of 8-cm pipe. In this case:

[tex]r=8cm[/tex]

Then, substituting the radius into the formula, we get:

[tex]A=\pi (8cm)^2\\\\A=201.06cm^2[/tex]

Now we must calculate the area of the two 4-cm pipes.

Since they are two pipes, the formula is:

[tex]A=2\pi r^2[/tex]

In this case:

[tex]r=4cm[/tex]

Then, substituting into the formula, we get:

[tex]A=2\pi (4cm)^2\\\\A=100.53cm^2[/tex]

Therefore, since the area of one 8-cm pipe is greater than the total area of of two 4-cm pipes, we conclude that the pipe configuration that can deliver more water to residents is:

One 8-cm pipe

More gallons of water in the tank have 2/5 water in it

Answer:

2: 2, 4, 6, 8, 10

5: 5, 10

lcm: 10

Answer:10 and 20

Step-by-step explanation:

2 times 5 is 10 and 2 times 10 is 20 and 5 times 4 is 20

Answer:

175

Step-by-step explanation:

7(13+12)

distribute 7 to 13 and 12

(91+84)

175

By distributive property the expression 7(13 + 12) can be rewritten as 175.

To rewrite the expression 7(13 + 12) using the distributive property, we multiply 7 by each term inside the parentheses:

7(13 + 12) = 7 × 13 + 7 × 12

This simplifies to:

91 + 84

Adding the two terms, we get:

175

Therefore, using the distributive property, 7(13 + 12) can be rewritten as 175.

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Answer:

80

Explanation:

The dogs weight rounded to the nearest ten pounds would be 80 because 76 rounded to the nearest tenth is 80. The reson why is because the 6 in the ones place is greater than 5 so you round up. Because 76 was the orignial number, and you're trying to round to the neares ten pounds, you round the 7 up because that is the number in the tenths place.

Answer:

80 pounds.

Step-by-step explanation:

The dog weighs 76 pounds.

The units value is 6 . Since we round up the tens place when the unit is equal or greater than 5 the answer is 80.

Answer:

Option C is the answer.

Step-by-step explanation:

The deli uses a scale shown in the picture has a monitor showing three digits.

It is showing a number with two decimal places.

It is obvious that any measurement we do will be reflected on the monitor as

1 : 32, 5 : 00.

A). 1.1 pounds will not be the answer because it has only one decimal place.

B). 2.582 pounds is not correct because it has three decimal places.

C). 1.34 pounds is the correct option because it has two decimal places.

D). 2 pounds 5 ounces is incorrect because it has no decimal.

Answer:

y=5

Step-by-step explanation:

33-5y=8

1) Subtract 33 from both sides

-5y=-25

2) Divide both sides by -5:

y=5

Answer:

its d trust me

Step-by-step explanation:

Answer:

0.75x + 0.8(x + 10) = 101

Step-by-step explanation:

Write an expression to represent the number of shots each one made.

Jared attempted x shots and made 75% of them, or 0.75x.

Zach attempted 10 more shots than Jared did, which is represented as x + 10. He made 80% of them, or 0.8(x + 10).

Together, they made 101 shots. So, add the two expressions and set the sum equal to 101:

0.75x + 0.8(x + 10) = 101.

Answer:

It will cost 4 cents to print a page using the MOST EXPENSIVE cartridge than using the LEAST EXPENSIVE cartridge .

Step-by-step explanation:

Cartridge           Price            Printed Pages

Cartridge A        $36.00              300

Cartridge B        $67.50               450

Cartridge C        $70.00              500

Cartridge D        $66.00              600

Cartridge E        $84.50              650

Cost of printing 300 pages with Cartridge A = $36

Cost of printing 1 page with Cartridge A = [tex]\frac{36}{300}=0.12[/tex]

Cost of printing 450 pages with Cartridge B = $67.50

Cost of printing 1 page with Cartridge B=  [tex]\frac{67.50}{450}=0.15[/tex]

Cost of printing 500 pages with Cartridge C = $70

Cost of printing 1 page with Cartridge C =  [tex]\frac{70}{500}=0.14[/tex]

Cost of printing 600 pages with Cartridge D = $66

Cost of printing 1 page with Cartridge D =  [tex]\frac{66}{600}=0.11[/tex]

Cost of printing 650 pages with Cartridge D = $84.50

Cost of printing 1 page with Cartridge D =  [tex]\frac{84.50}{650}=0.13[/tex]

Based on the unit price per page most expensive cartridge B and least expensive cartridge is Cartridge D.

So, Difference between the unit price of most expensive cartridge B and least expensive cartridge is Cartridge D = $0.15-$0.11 = $0.04

$1 = 100 cents

$0.04 = 4 cents

Hence it will cost 4 cents to print a page using the MOST EXPENSIVE cartridge than using the LEAST EXPENSIVE cartridge .

Answer: for question # 9 , the value of X is 9

Step-by-step explanation:

2x+5=x+14 , then you subtract 5 on each side , leaving you with , 2x=x+9 , and you subtract x on both sides , leaving you with x=9

Answer: 9 : x=9

Step-by-step explanation: 2x + 5 + x +14 so then -x on both sides so x+5=14 then -5 on both sides so x=9

an the other one I dunno sorry

Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to 5/19.

" Probability is defined as the ratio of number of favorable outcomes to the total number of outcomes."

here, we have,

Formula used

Conditional probability ' P(B/A)' = P(A∩B) / P(A)

According to the question,

Total number of tiles = 20

Number of while tiles  represented by 'A' = 6

Number of black tiles represented by 'B' = 5

Number of purple tiles= 9

Total number of outcomes = 20 × 19

                                             = 380

Favorable outcome for A = 6 × 19

                                           = 114

Favorable outcomes for A∩B = 6 × 5

                                                  = 30

Probability of A

'P(A)' = 114/380 = 57/190

Probability of A∩B

'P(A∩B)' = 30/380 = 15/190

Substitute the value in the conditional probability we get,

Probability for P(B/A) = 15/190 / 57/190

                                    = 15/57

                                    = 5/19

Hence, Option(B) is the correct answer.

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Hello!

3,486 / 2 = n

n = 1743

work:

you simply divide 3,486 by 2

if you divide each number by two (right to left)

6 / 2 = 3

8 / 2 = 4

4 / 2 = 2

3 / 2 = 1.5

since there is a decimal in this, multiply it by 10 and add it to the number before. this number will go on the right side of the total

1.5 * 10 =15

15 + 2 = 17

17 4 3 are the final numbers in order. put them together and you have 1743

(this is my personal way of doing it, but there are plenty more ways to do it)

I hope this helps, and have a nice day!

Answer:

Step-by-step explanation:

[tex]\dfrac{63}{8}=\dfrac{56+7}{8}=\dfrac{56}{8}+\dfrac{7}{8}=7+\dfrac{7}{8}\to\dfrac{63}{8}=7+r7[/tex]

or use the long division (look at the picture).

Answer:

Prime.

Step-by-step explanation:

A^2+4a+12

Not factorable.

Answer:

Infinte solutions

Step-by-step explanation:

First you have to do the multiplication

6y - 8 = 6y - 8

since both sides are equal it means that the equation has infinte solutions, because if you keep solving you will get

6y - 6y = -8 + 8

0 = 0

Answer:.964

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

because am smart and i said so

To use the distributive property and mental math to find 5 times 8.9, break down 8.9 into 8 and 0.9, multiply each by 5, and sum the products to get 44.5.

The solution obtained is,

To find the product of 5 and 8.9 using the distributive property and mental math, we can break down 8.9 into 8 and 0.9 for easier multiplication. Thus, 5(8 + 0.9) = (5 × 8) + (5 ×0.9). Calculating each part separately, we get 40 and 4.5. Finally, by adding these two products together, we find that 5(8.9) equals 40 + 4.5, which is 44.5.

Answer: The sequence is to add 12 to each new term.

Step-by-step explanation: The Best way to solve these type of questions is to quests and check. For example, one may notice 3 can be multiplied by 5 to get 15. However, 15 times 5 is 75, not 27, so the rule of multiply by 5 is not correct. Then, you may guess that the rule is to add some number to get the next. One may then notice that it is increasing by 12 each time.

The sequence provided is an arithmetic sequence where each subsequent number is 12 more than the previous one.

The sequence described in your question: 3, 15, 27, 39,... follows a rule of addition. Specifically, each subsequent number in the sequence is 12 more than the preceding number. For instance, 15 is 12 more than 3, 27 is 12 more than 15, and 39 is 12 more than 27, and so on. This sequence can be described as an arithmetic sequence with a common difference of 12.

The rule for the given sequence is that each term is obtained by adding 12 to the previous term.

3 + 12 = 15

15 + 12 = 27

27 + 12 = 39

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Answer:

Greatest possible number of fish = 576 fish.

Step-by-step explanation:

If there cannot be no more than 18 fish in each tank, then this means that the maximum amount of fish (or greatest amount of fish) is 18 PER tank (since it says "each").

With this knowledge, we can multiply 18 by 32 and we get 576 as our answer.

We are asked for the greatest possible number of fish, so what we have done here is used the information provided (with the maximum for each tank being 18 fish) and multiplied it by 32 to get 576 fish.

Answer:

576

Step-by-step explanation:

The MAXIMUM amount of fish per tank is detailed as 18, as there cannot be any more than it per tank.

We have 32 fish tanks in total, and if we wish to find the maximum fish capacity, simply multiply 32 by 18, and we will get our answer to be 576 fish!