(x^4 – x^2 – 6) ÷ (x^2 + 8)

Rewrite it in the form; a^2 - b^2, where a = 5x and b = 6

(5x)^2 - 6^2

Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)

(5x + 6)(5x - 6)

To factor 25x^2-36 completely, we use the difference of squares formula which gives us the factorization (5x + 6)(5x - 6).

To factor the expression 25x^2-36 completely, we can use the difference of squares formula. This formula states that a^2 - b^2 can be factored as (a + b)(a - b). In this case, our 'a' value is 5x and our 'b' value is 6. So we can factor 25x^2-36 as (5x + 6)(5x - 6).

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Answer:

1/169

Step-by-step explanation:

There are total 52 cards in deck. Also, there are 4 kings and 4 jacks in the deck.

Probability of choosing a king out of 4 kings and total there are 52 cards

∴ Ans1 = ⁴C₁/⁵²C₁ = 4/52 = 1/13

The cards are drawn with replacement so again there will be total 52 cards.

Probability of choosing a jack out of 4 jacks and total there are 52 cards

∴Ans2 = ⁴C₁/⁵²C₁ = 4/52 = 1/13

So, ans=Ans1 * Ans2 = 1/13 *1/13 = 1/169

3x^2 +6y^2 = 18

Divide each term by 18 to make the right side equal 1:

3x^2/18 + 6y^2/18 = 1

Simplify each term:

x^2/6 + y^2/3 = 1

The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1

Match the values in the ellipse to the standard form:

a = √6

b=√3

k = 0

h = 0

The center = (h,k) = (0,0)

Vertex is h +a, k = (√6,0) and (-√6,0)

Focus is h+c,k = (√3,0) and (-√3,0)

The last option seems the best one: the figure is composed of a square/rectangle and a triangle. The area of the rectangle is the product of its dimension (i.e. [tex]lw[/tex]), while the area of the triangle is half the product of the base and height ([tex]\frac{1}{2}bh[/tex]).

The sum of the two areas is the area of the composite shape.

ANSWER

area equals half of base times height plus length times width so d  

Answer:

C

Step-by-step explanation:

Let's break down the definitions.

Median = the middle value in the number set

So yes this is an appropriate measure of center.

Mode = the most common value in the number set

Since this can be any number, this isn't an appropriate measure of center.

Mean = average

So yes this can also be an appropriate measure of center.

Your answer should be A.

Answer:

The answer is C because both ordered pair when they are substituted into the equation, both sides equal to each other.

Explanation:

All you do is substitute. (x,y)

A:

Substitute

11 = 8(1) + 3

Multiply the inside parentheses by the outside number

11 = 8 + 3

Add them together to get the solution.

11 = 11

Both sides equal to each other so that means that it is a solution to the equation.

B:

Substitute

-5 = 8(-1) + 3

Multiply the inside parentheses by the outside number

-5 = -8 + 3

Add them together to get the solution.

-5 = -5

Both sides equal to each other so that means that it is also a solution to the equation.

D:

Both ordered pair gives you an equal solution to both sides.

Your answer would be Only B

Table A has a repeated number in the inputs, while Table B does not

In the tables, only B represents functions.

A function is a relation in which each domain value has only one range value. If a domain has more than one image in the range, it is not a function.

Observe table A.

We can see that the input value of 2 has two outputs.

This means that table A is not a function.

Observe table B.

In table B, all input values have one and only one output value.

This table represents a function.

Therefore we have found that, from the given tables, only B represents functions. The correct answer is option B.

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Step-by-step explanation:

Look at the picture.

We connect two congruent trapezoids as in the picture.

We created a parallelogram with a base length of b₁ + b₂ and a height h equal to the height of the trapezoid.

The formula of an area of a parallelogram:

[tex]A_p=(base)(height)\to A_p=(b_1+b_2)h[/tex]

The area of the trapezoid is half of the parallelogram area.

Therefore we have the formula of an area of trapezoid:

[tex]A_t=\dfrac{(b_1+b_2)h}{2}[/tex]

Therefore we need to be added the bases of a trapezoid.

seven million+three hundred thousand+forty thousand+ five thousand+eight hundred+two

HOPE THIS HELPED!!

Can I have brain?

7,345,802

Seven million, Three hundred, fourty thousand, eight hundred two

first set the first equation equal to x

subtract 2y from both sides

x=27-2y now plug this in to the other equation

2(27-2y)+3y=46 distribute

54-4y+3y=46 --> 54-y=46 now subtract 54 from both sides -y=-8 --> D)y=8

If you weren't asked to show work you could just plug the choices given into the equation

Final answer:

By using the elimination method and subtracting the second given equation from the doubled first equation, we find that the solution for y in the system of equations is y=8.

Explanation:

We are tasked with finding the solution for y in the system of equations:

x + 2y = 27

2x + 3y = 46

To solve the system, we can use either the substitution method or the elimination method. Let's use the elimination method for this problem:

Multiply the first equation by 2:

(2)(x + 2y) = (2)(27)

2x + 4y = 54

Now we have:

2x + 4y = 54 (from step 1)

2x + 3y = 46 (original second equation)

Subtract the second equation from the first:

(2x + 4y) - (2x + 3y) = 54 - 46

y = 8Thus, y=8 is the solution to the system of equations, which corresponds to option D.

Answer:

Step-by-step explanation:

The brackets are absolute value. The absolute value of a number is the distance from zero which can never be negative (distance can’t be negative). Btw the answer is 2

Answer:12+6

Step-by-step explanation:

Answer:

62.87

Step-by-step explanation:

240-177.13=62.87

The number of students attending the fair will be 33.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a school is sending six teachers and some students to attend a technology fair the admission price for teachers is 8.50 each and the admission price for students is $6 each if the budget set aside by the school for this event is $250.

The number of the students will be calculated as,

( 6 x 8.5 ) + N x 6 = 250

6N = 250 - 51

N = 199 / 6

N = 33

Hence, the number oof the students will be 33.

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Answer:

$90

Step-by-step explanation:

Look at the number 7 on the bottom right of the graph. That means at the end of 7 weeks. Now look vertically up from there until you see a point directly above 7 weeks. Look to the left of that point, and you see that the point directly above 7 weeks is at the level of $90. That means that at the end of 7 weeks, he had $90.

There is no solution

There are no values of x that will make the equation true.

x approx 0.493942

Step-by-step explanation:

Answer:

y - 7 = 4(x + 3)

Step-by-step explanation:

Write the equation of a line using the point slope formula. Substitute m = 4 and the point (-3,7) in the formula.

[tex]y - y_1 = m(x-x_1)\\y - 7 = 4(x--3)\\y - 7 = 4(x+3)[/tex]

Answer:

4300

Step-by-step explanation:

430*10=4300

Answer:

43

Step-by-step explanation:

43 x 10 = 430

Answer:

42+ (12)6=

42+72=114

Step-by-step explanation:

use pemdas to eliminate parethesis then add them together

Answer:

1. 42 + t/6

2. 42 + 12/6

3. 42 + 2

4. 44

Step-by-step explanation:

-You start of with 42 + t/6. If t = 6

-If t = 6, the next step should be to replace t with 12 So it would be 42 + 12/6.

-If we have 12/6 we know to divide. 12 divided by 6 is 2. So we would replace 12/6 with 2. Now we have 42 plus 2

-42 plus 2 is 44.

Answer:

j^13

Step-by-step explanation:

j j j j j j j j j j j j j j

There are 13 j's so we raise j to the 13 power

j^13

Answer:

c

Step-by-step explanation:

lol.................................

Answer:

x = 6

Step-by-step explanation:

The radius in this case measures; 20/2 = 10 since the diameter is 20.

The chord measuring 16 units has been bisected, hence each portion measures 8 units.

We now apply Pythagoras theorem since we are dealing with a right angled triangle with 2 given sides;

x^2 = 10^2 - 8^2

x^2 = 36

x = 6

Final answer:

Without a specific equation or sufficient context, it is not possible to determine the correct value of x from the provided answer options (4, 6, 5, 7). The provided excerpts mention various unrelated values and scenarios involving x.

Explanation:

The specific value of x is not provided in the context of the information given, making it impossible to accurately determine its value. The excerpts given mention several different equations and scenarios, including various values for x such as x=3, x=-7, and instances where x=1 is a solution. However, these are not directly related to a given problem or an equation we can solve in this context.

Moreover, references to checking answers online with exercise codes and the mention of convergence related to initial guesses suggests that these excerpts are from a discussion involving solving equations using numerical methods, possibly from a textbook or set of course notes. To find the correct value of x, we would need to know the specific equation or problem we are trying to solve.

Without a clear and specific equation to solve, or additional context, we cannot accurately determine which of the answer options (4, 6, 5, 7) is the correct value of x.

I can't read it well, but if u need to learn the volume of the cube do this. Count the number of squares. Top is 8. So bottom is 8. =16

Front is 12. So back is 12. =24

Side is 6. So other side is 6. =12.

16+24+12=42.

42 is ur volume.

Ta Da!

Answer:

814

Step-by-step explanation:

there has to be a number between 4,8

so either 4 can be at hundred position or 8 can be at hundredth position.

but since 1 comes before 4, then 1 has to be at tens place and 4 has to be at one's place.

so number is 814

Using the given clues, we can determine that the three-digit mystery number with digits 1, 8, and 4, where 1 comes before 4 and 4 is not next to 8, is 184.

The mystery number is a three-digit number where the digits are 1, 8, and 4. With the given clues that the digits 4 and 8 are not next to each other and that 1 comes before 4, we must arrange the digits accordingly.

Since we are told the exact sequence for 1 and 4, with 1 coming before 4, and knowing that 8 cannot be next to 4, the possible arrangement is: the digit 1 first, then 8, and finally 4.

Following these conditions, the mystery number is 184.

Answer:

13.6

Step-by-step explanation:

Add all of the ages up:

14 + 14 + 13 + 13 + 13 + 15 + 14 + 14 + 13 + 13 = 136

Then divide that by 10:

136/10 = 13.6

To calculate the mean absolute deviation of the ages in Mrs. Kiperling's class, first calculate the mean, then the absolute differences between each age and the mean, and finally average those differences to get an MAD of 0.6 years.

The mean absolute deviation (MAD) of a set of numbers is a measure of how spread out the numbers are from the average (mean). To calculate the MAD, we first find the mean of the data set, then find the absolute differences between each data point and the mean. Finally, we average those absolute differences to get the MAD. In this case, we begin by calculating the mean of the student ages:

Mean age = (14 + 14 + 13 + 13 + 13 + 15 + 14 + 14 + 13 + 13) / 10 = 13.6

Next, we find the absolute differences from the mean for each age:

Now we calculate the mean of these absolute differences:

MAD = (0.4 + 0.4 + 0.6 + 0.6 + 0.6 + 1.4 + 0.4 + 0.4 + 0.6 + 0.6) / 10 = 6 / 10 = 0.6

So, the mean absolute deviation of the student ages in Mrs. Kiperling's class is 0.6 years.

Answer:

[tex]( {6}^{ - 2}) ( {3}^{ - 3}) ( {3 \times 6})^{4} = \frac{ {3}^{4} {6}^{4} }{ {3}^{3} {6}^{2} } = 3( {6}^{2} ) = 3(36) = 108[/tex]

Answer:it would be infinalty many

Step-by-step explanation:

The statement "There are infinitely many solutions" is true about the solution to the set of equations, as the lines represented are coincident.

To determine the solution to the set of equations, we can solve them simultaneously.

Given:

- Equation of Line A: 3x + 3y = 12

- Equation of Line B: x + y = 4

To find the solution, we can use methods like substitution or elimination. Here, let's use the elimination method:

Multiply the second equation by 3 to match the coefficients of \(y\) in both equations:

3(x + y) = 3(4)

3x + 3y = 12

Now, we can see that both equations represent the same line, so they are coincident or overlapping. Therefore, there are infinitely many solutions.

Hence, the statement "There are infinitely many solutions" is true about the solution to the set of equations.

that anser you have highlighted it correct

The answer would be A. 198 cm. To find the circumference of a circle you take c=2piR. You would find the circumference of the bigger wedges and divide by 2 since it makes up 1/2 the circle. Then you would do the same for the smaller wedges and it would be approximately 198 cm

Answer: first option.

Step-by-step explanation:

To solve this problem you must plug the function h(x) into the function g(x):

[tex]g(x)=\sqrt{(2x-8)-4}[/tex]

Now you must simplify by adding like terms, as following:

[tex]g(h(x))=\sqrt{2x-12}[/tex]

Substitute x=10 into the fucntion. Therefore, you obtain the following result:

[tex]g(h(10))=\sqrt{2(10)-12}[/tex]

[tex]g(h(10))=2\sqrt{2}[/tex]

Answer:

The correct answer is first option  2√2

Step-by-step explanation:

It is given that, g(x) = √(x - 4) and h(x) = 2x - 8

To find g(h(x))

We have g(x) = √(x - 4) and h(x) = 2x - 8

h(x) = 2x - 8

g(h(x)) =  √((2x - 8)- 4) = √(2x - 12)

To find the value of g(h(10))

g(h(x)) = √(2x - 12)

g(h(10)) = √(2*10 - 12) =√(20 -12) =√8 = 2√2

Therefore the correct answer is first option  2√2

answer: 3x + 6

x + 1 + 2x + 5 = 3x + 6

remember to first distribute the negative to both terms in the second parentheses which makes the 2x and 5 both positive and then just combine like terms . pls mark brainliest

Answer:

3x+6 is the answer

Step-by-step explanation: