CHECK IMAGE Help me out pretty please

Answer:

2/3

Step-by-step explanation:

2/9+4/9=6/9

6/3=2   9/3=2

6/9=2/3

Answer:

C \(f(x) = \frac{x}{(x+1)(x-2)}\)

Step-by-step explanation:

The two vertical asymptotes happens when you have a pole, ie you are bringing a denominator to zero while the numerator has a finite value. The two lines have equation \(x=-1\) and \(x=2\). The only solution that works for that constraints is C

The function relationship is a quadratic function

The function is given as:

x y

-5 17

-4 7

-3 1

-2 -1

-1 1

Remove the x values:

y: 17     7      1     -1      1

Calculate the difference between the consecutive y values

Difference: 10  6   2   -2

Because the first difference are not equal, it means that the function is not a linear function.

Calculate the difference between the above differences

Difference: 4   4   4

Because the second differences are equal, it means that the function is  a quadratic function.

Hence, the function relationship is a quadratic function

Read more about quadratic function at:

https://brainly.com/question/5975436

#SPJ1

a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

Learn more about numbers at brainly.com/question/17200227

#SPJ1

Answer:

x=2

Step-by-step explanation:

The true solution to the equation  3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3log2 + log 8 = 2 log(4x)

We have to calculate the value of x

We know that,  x logb=log bˣ

and loga + logb = logab

The equation is 3log2 + log 8 = 2 log(4x)

log 8+ log 8= log 16x²

log64/log 16=x²

4=x²

Take square root on both sides

x=2

Hence, the true solution to the equation  3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

For more such questions on solution

https://brainly.com/question/24644930

#SPJ8

Answer: The diagonal AC of a square bisects the square and the midpoint of the diagonal is the center of the square. Since the center of the square is the midpoint of the diagonal, we can find the midpoint of AC by averaging the x-coordinates and y-coordinates of A and C.

The coordinates of the center of the square is ( (2+(-2))/2 , (4+1)/2) = (0, 2.5)

Since a square is a special case of rectangle, which means all sides are equal, the length of the side of the square is the distance between A and C.

Using the distance formula, we can find the length of the side of the square:

d = sqrt( (2-(-2))^2 + (4-1)^2 ) = sqrt(4^2 + 3^2) = sqrt(16+9) = sqrt(25) = 5

The coordinates of the vertex D can be found by subtracting half of the side length from x and y coordinates of the center point.

D(0-5/2, 2.5 - 5/2) = (-2.5, 0.5)

The coordinates of the vertex B can be found by adding half of the side length from x and y coordinates of the center point.

B(0+5/2, 2.5 + 5/2) = (2.5, 5.5)

So the remaining vertices are (2.5, 5.5) and (-2.5, 0.5)

Step-by-step explanation:

Answer:

X= 17

Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)

Answer: x=17

Add 5 on both sides

x-5+5=12+5

x=17

Step-by-step explanation: Hope this helps!

If you are having a tough time with math you can use:

khanacademy,

mathnation,

and many other free sources

Explanation

We are asked to find the best term that describes the image given

From all the options given, we have the answer as the centroid

The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

Answer:

In terms of cost, the number of DVD's that would make the two options equivalent is 57

Each option would cost $594

Explanation:

Given the following:

Elena's production charges $9 per DVD plus $81 to come and film the recital.

Oakdale Media charges $24 to film, plus $10 per DVD.

Let x represent the number of DVD.

Elena's production total charges is:

9x + 81

Oakdale Media's total charge is:

24 + 10x

If the two options must be equivalent, then

9x + 81 = 24 + 10x

Subtract 9x from both sides

81 = 24 + 10x - 9x

81 = 24 + x

Subtract 24 from both sides

81 - 24 = x

57 = x

In terms of cost, the number of DVD's that would make the two options equivalent is 57

Since both options cost the same, we can use either of the expressions for costs. Using Elena's productions, we have:

9x + 81

= 9(57) + 81

= 513 + 81

= 594

That is, $594

Using Oakdale Media, we have:

24 + 10x

= 24 + 10(57)

=24 + 570

= 594

That is, $594

Each option would cost $594

Answer:

The front-end estimation is a way to find the estimation of sums by rounded where you add the units and the decimal parts independently. For example

4.9 + 5.8

First, add the units, so

4 + 5 = 9

Then, the sum of the decimal parts are:

0.9 + 0.8

But 0.9 and 0.8 are closer to 1, so we can add them as:

1 + 1 = 2

Finally, the approximated answer will be:

9 + 2 = 11

This is not the exact answer but it is a good approximation.

Answer:

c

Step-by-step explanation:

because it is the most reasonable answer

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

Answer: 13.7ft (1 decimal place)

Step-by-step explanation:

For this question you will have to use Pythagoras theorem.

The formula for the short side is x²=c²-b² and when you put the numbers from this question into it you get x²=15²-6²

15²=225

6²=36

x²=225-36

x²=189

Then, as you want to find x on its own, you would have to square root 189 which is 13.7 (1 decimal place).

Hope this helps :)

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

For more questions on events

https://brainly.com/question/29782219

#SPJ8

Answer:

-5

Step-by-step explanation:

The graph of g(x) is shifted 4 units up from the parent function

The equation of the parent function f(x) is given as

f(x) = x

The transformed function is given as

g(x) = x + 4

Substitute the known values in the above equation, so, we have the following representation

g(x) = f(x) + 4 or g(x) = f(x + 4)

This means that the function is shifted to the left by 4 units or it is shifted up by 4 units

Read more about transformation at

https://brainly.com/question/1548871

#SPJ1

Answer:

the gcf is 27

27(x-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.

Answer:

uno

Step-by-step explanation:

don't speak Spanish sorry I don't understand you

Answer:

First compute the perimeter of the first two windows: (3.4+5.2)*2=17.2

The perimeter of the four other windows: (3.6+4.8)*2=16.8

The total number of feet needed for the first two windows:

17.2*2 = 34.4 feet

The total number of feet needed for the four windows:

16.8*4 = 67.2 feet

The total number of feet needed is then: 34.4 + 67.2 = 101.6 feet.

Hope this helped can i pls have brainliest

Answer:

(C)90 – 10y = 5x

Step-by-step explanation:

Given:

x = number of times she hiked the 5-mile trail

y = number of times she hiked the 10-mile trail

Maria hikes a total of 90 miles

Therefore, total distance hiked can be represented by the equation:

5x+10y=90

Subtract 10y from both sides, we have:

5x=90-10y

This is option C.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

\({ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ \)

If x approaches -∞;

\({ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}\)

If x approaches +∞;

\({ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}\)

Note: I'm taking my infinite value to be 1,000

In order to calculate the translation of <-4, -1> to the triangle ABC, we just need to add these coordinates to all vertices of the triangle, that is, add -4 to the x-coordinate and -1 to the y-coordinate. So we have that:

So the vertices after the translation are A'(-2, -6), B'(-7, -2) and C'(-1, 1).

12 students play defense. 1st step.  6/9 of 27 is 18.  2nd. the ratio of the students playing offense to the total number of students playing soccer is 1 to 3 which means the total amount of students is '3', in the ratio it's 3 because it's simplified (i like to think of it as 'groups'). since we know that there are a total of 18 students and there's 3 total 'groups' we divide 18 into 3 which is 6. so there's 6 students in each group. we subtract 6 (1 group) from 18 ( the total number of students) which is 12, so there are 12 students playing defense. if you wrote the ratio again without simplifying it would be  6:18

You have 105 mL of a 40% alcohol solution, which contains 0.4 • 105 mL = 42 mL of alcohol.

If you mix it with x mL of 80% solution, you end up with a (105 + x) mL solution that contains (42 + 0.8x) mL of alcohol.

In this solution, you want to have a concentration of 45%, so

((42 + 0.8x) mL) / ((105 + x) mL) = 0.45

Solve for x :

(42 + 0.8x) / (105 + x) = 0.45

(42 + 0.8x) / 0.45 = 105 + x

280/3 + 16/9 x = 105 + x

7/9 x = 35/3

x = 15

So you need 15 mL of the 80% solution.

The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

Learn more about confidence intervals;

https://brainly.com/question/24131141

#SPJ1