solve equation for x -16= 3x + 11

It is given that the point G lies on the line segment FH and divides it in the ration 5:2.

So we will use the section formula to obtain the coordinates of the point G.

Now the x-coordinate of the point G will be:-

Now the y-ccordinate of the point G will be:-

So the coordinates of the point G are (-6, 14).

Hence the correct option is (D).

Answer: p(1/2)=11/2p(a)=a.

Step-by-step explanation:

Answer:

       2x3 - 5x2 + 2x - 7

 ——————————————————

       x - 2      

Step-by-step explanation:            2x3 - 5x2 + 2x - 7

Simplify   ——————————————————

                 x - 2      

Checking for a perfect cube :

3.1    2x3 - 5x2 + 2x - 7  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  2x3 - 5x2 + 2x - 7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  2x - 7

Group 2:  2x3 - 5x2

Pull out from each group separately :

Group 1:   (2x - 7) • (1)

Group 2:   (2x - 5) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(x) = 2x3 - 5x2 + 2x - 7

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  -7.

The factor(s) are:

of the Leading Coefficient :  1,2

of the Trailing Constant :  1 ,7

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -16.00    

     -1       2        -0.50        -9.50    

     -7       1        -7.00        -952.00    

     -7       2        -3.50        -161.00    

     1       1        1.00        -8.00    

     1       2        0.50        -7.00    

     7       1        7.00        448.00    

     7       2        3.50        24.50    

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

3.4    Polynomial Long Division

Dividing :  2x3 - 5x2 + 2x - 7

                             ("Dividend")

By         :    x - 2    ("Divisor")

dividend     2x3  -  5x2  +  2x  -  7

- divisor  * 2x2     2x3  -  4x2        

remainder      -  x2  +  2x  -  7

- divisor  * -x1      -  x2  +  2x    

remainder              -  7

- divisor  * 0x0                

remainder              -  7

Quotient :  2x2 - x

Remainder :  -7

so x=-7

The graph approaches the y-axis (either from above or below) as x → ±∞.

The end behavior of the function y = c(x), where c is a constant, depends on the value of c.

If c is positive, then as x gets larger and larger in the positive or negative direction, the function y = c(x) grows without bound. The graph approaches y = +∞ as x → ±∞.

If c is negative, then as x gets larger and larger in the positive or negative direction, the function y = c(x) decreases without bound. The graph approaches y = -∞ as x → ±∞.

In either case, the end behavior of the function y = c(x) is described as an asymptote, which is a line that the graph approaches but never touches. Specifically, the graph approaches the y-axis (either from above or below) as x → ±∞.

Find out more about positive or negative direction

brainly.com/question/28730903

#SPJ4

Answer:

Step-by-step explanation:

To find the complement of a vector, we take its negative.

Given vectors Q(-1, -2) and R(1, 2), their complements would be:

Complement of Q: (-(-1), -(-2)) = (1, 2)

Complement of R: (-(1), -(2)) = (-1, -2)

So, the complements of Q and R are (1, 2) and (-1, -2) respectively.

Answer:

77

Step-by-step explanation:

11•7=77

you multiply it because Scott read 11 pages each day for 1 week. And since it is 7 days not 2, it is faster to just multiply. And since 1•7=7 then you just multiply 7 by 11 and it is shown to be 77.

Using the Normal Z-distribution and the values from the Z-table, We can calculate that 12.5% can be expected to score between 70 and 90 according to the value of the mean and standard deviation provided.

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it.

mean =100

standard deviation =60

70≤ x ≤ 90

70 - 100 ≤ x - 100 ≤ 90 -100

-0.5 ≤  Z ≤ -0.167

P = 0.125(From Z-Table)

Required percentage  = 12.5%

Read more about normal distribution:

https://brainly.com/question/4079902

#SPJ4

The correct question is:

certain standardized math exams have a mean of 100 and a standard deviation of 60. of a sample of 36 students who take this exam, what percent could you expect to score between 70 and 90?

Answer:

It's really hard to really solve cause I'm a student in learning.

Answer:

angle 8

Step-by-step explanation:

because they both are alternate exterior angles

I think it helps you..............

X and Y be discrete random variables with joint probability function is answer is (D) 11/9.

To find E[Y| X = 1], we need to use the conditional expectation formula:

E[Y| X = 1] = Σy y P(Y = y| X = 1)

Using the joint probability function, we can find P(Y = y| X = 1):

P(Y = y| X = 1) = f(1, y) / Σy f(1, y)

P(Y = y| X = 1) = ((1/54)(1 + 1)(y + 2)) / ((1/54)(1 + 1)(0 + 2) + (1/54)(1 + 1)(1 + 2) + (1/54)(1 + 1)(2 + 2))

P(Y = y| X = 1) = (y + 2) / 9

Substituting this into the formula for \(E[Y| X = 1],\) we get:

E[Y| X = 1] = Σy y P(Y = y| X = 1)

E[Y| X = 1] = (0)(1/9) + (1)(3/9) + (2)(5/9)

E[Y| X = 1] = 11/9

Therefore, the answer is (D) 11/9.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ11

On solving the provided question, we can say that  the slope of the line measured is 33m/s

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

rise of line = 600m

run of line = 3mins

Slope = rise/run

Slope = 600/180

Slope = 3.33 m/sec

, the slope of the line measured is 3.33

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ4

Answer: The answer is C. :)

Step-by-step explanation: put it in a calculator like... 3.15 divided by 4.2 and you'll get 0.75 :)

Answer:

4=x

Step-by-step explanation:

1.5(x + 4) – 3 = 4.5(x – 2)   distribute

1.5x+6-3 = 4.5x-9                   subtract 1.5x from each side

3=3x-9                                 add 9 to both sides

12=3x                                    divide by on both sides

4=x                                        simplify

Answer:

x=4

Step-by-step explanation

The r function that the data analyst can use to do this automatically is the clean names function.

When it comes to data manipulation, R is an excellent tool. It enables the use of several preprocessed packages, making data manipulation much easier.

Janitor's clean names() function will make all of your variable names consistent in a single line of code.

In R, a data analyst is cleaning up their data. To avoid errors in their analysis, they want to ensure that their column names are unique and consistent. What R function can they use to automate this? The clean names() function will ensure that column names are both unique and consistent.

Learn more about data analyst on:

https://brainly.com/question/23810306

#SPJ1

Answer:

32.1

Step-by-step explanation:

You add the code chunk arrange(bill_length_mm) to sort the column bill_length_mm in ascending order. The correct code is penguins %>% arrange(bill_length_mm). Inside the parentheses of the arrange() function is the name of the variable you want to sort. The code returns a tibble that displays the data for bill_length_mm from shortest to longest. The shortest bill length is 32.1mm.

Step-by-step explanation:

it is just a line covering all values smaller than -8 (that means left of -8).

so, it is a line starting at -8 and going all the way to the left (to the arrow on the left). and you make an empty (hollow) dot at -8, because the value -8 is not included (otherwise it would be p <= -8, and it would be a filled dot at -8).

The expected value (e(x)) of the given probability mass function can be calculated as 1.36.

To find the expected value (e(x)), we need to calculate the weighted average of the values of x using their respective probabilities. The given probability mass function is F(x) = (2x + 1)/25.

We can calculate the expected value using the formula:

e(x) = Σ(x * P(x))

where Σ denotes the sum, x represents the values, and P(x) represents the probabilities.

For the given function, the values of x are 0, 1, 2, 3, and 4.

Plugging in the values into the formula:

e(x) = (0 * P(0)) + (1 * P(1)) + (2 * P(2)) + (3 * P(3)) + (4 * P(4))

Calculating the probabilities for each value:

P(0) = (2 * 0 + 1)/25 = 1/25

P(1) = (2 * 1 + 1)/25 = 3/25

P(2) = (2 * 2 + 1)/25 = 5/25 = 1/5

P(3) = (2 * 3 + 1)/25 = 7/25

P(4) = (2 * 4 + 1)/25 = 9/25

Substituting these values into the expected value formula:

e(x) = (0 * 1/25) + (1 * 3/25) + (2 * 1/5) + (3 * 7/25) + (4 * 9/25)

= 0 + 3/25 + 2/5 + 21/25 + 36/25

= 1.36

Therefore, the expected value (e(x)) of this probability mass function is 1.36. Thus, the correct option is b. 1.36.

Learn more about mass function here:

https://brainly.com/question/9859433

#SPJ11

If A is a subset of B, it does not necessarily mean that A is a proper subset of B. The union of any set A and its complement is indeed the universal set.

1. False: If A is a subset of B, it does not necessarily mean that A is a proper subset of B. A proper subset is a subset that contains some, but not all, elements of the superset. In other words, if A is a proper subset of B, it means that there exists at least one element in B that is not in A. However, if A is simply a subset of B, it is possible for A and B to have the same elements, making them equal sets.

For example, let's consider two sets:

A = {1, 2}

B = {1, 2, 3}

In this case, A is a subset of B because every element in A (1 and 2) is also in B. However, A is not a proper subset of B since there are no elements in B that are not in A. Therefore, statement 1 is false.

2. True: The union of any set A and its complement is indeed the universal set. The complement of a set A, denoted as A', consists of all elements that are not in A but are in the universal set U. When we take the union of A and its complement, we are effectively combining all elements from A and all elements not in A.

Let's consider a set A and its complement A' within a universal set U. The union of A and A' is denoted as A ∪ A' and can be represented as U. This is because every element in the universal set U is either in A or not in A (in A').

For example, let's consider the following sets:

U = {1, 2, 3, 4, 5}

A = {1, 2}

The complement of A, A', would be {3, 4, 5}. The union of A and A' (A ∪ A') is {1, 2} ∪ {3, 4, 5}, which is equal to U: {1, 2, 3, 4, 5}. Thus, the union of any set A and its complement is indeed the universal set. Therefore, statement 2 is true.

Learn more about universal set:

https://brainly.com/question/29478291

#SPJ11

Answer:

(x + 2)^2 - 1

Step-by-step explanation:

x^2 + 4x + 1

= (x^2 + 4x + 2 - 2 + 1)

= (x + 2)^2 - 1

Answer:

LCM (k, n) = 10 and HCF(k, n) = 2

Step-by-step explanation:

The given parameters are;

The time after which Keshav takes  a break = k hours

The value of k = The first smallest prime natural number

Therefore, by mathematical definition, k = 2

The time after which Noel takes a break = n hours

The value of n = The fifth smallest composite natural number

The first five composite numbers are given as follows;

4, 6, 8, 9, and 10

Therefore, the fifth smallest composite natural number = 10 = n

The LCM (k, n) = LCM (2, 10) = Least common multiple of 2 and 10 is given as follows;

Dividing by 2, we get;

2/2 = 1,  10/2 = 5

Dividing the result by 5, we get;

5/5 = 1

Multiplying the devisors together gives;

5 × 2 = 10

Therefore, the LCM of 2 and 10 = 10

LCM(2, 10) = LCM (k, n) = 10

The HCF(k, n) = HCF of 2 and 10 = The highest common factor that divides both 2 and 10 is given as follows;

Dividing 2 and 10 by 2 gives;

2/2 = 1 and 10/2 = 5

Therefore, HCF(k, n) = The highest common factor of 2 and 10 = HCF(2, 10) = 2

Answer:

$5.12

Step-by-step explanation:

First, we need to identify what she bought for how much:

Elizabeth bought 3 pounds of apples for 89c a pound (.89*3)

She bought 2 pounds of oranges for 53c a pound (.53*2)

And she bought a loaf of bread for $1.39 (1.39)

apples = .89*3 = $2.67

oranges = .53*2 = $1.06

bread = 1.39*1 = $1.39

Now that we know the values of the individual items she bought, we can add them up:

$2.67

+$1.06

+$1.39

= $5.12

(All in all, in the end this is just some simple addition and multiplication)

Answer:

The acceleration is 160 m/s/s

Step-by-step explanation:

The unit m/s/s tells you that the car is accelerating at a rate of 160 m/s/s.

Answer:

Age of Peter = 3 year

Step-by-step explanation:

Given:

Peter is 8 years younger than Jonne

Assume;

Age of Jonne = a

So,

Age of Peter = a - 8

After 5 years,

2[a - 8 + 5] = a + 5

2a - 6 = a + 5

a = 11

Age of Jonne = 11

Age of Peter = 11 - 8

Age of Peter = 3 year

The collection of current NFL players is well defined and is a set

Step-by-step explanation:

For a collection to be termed as a set, it is necessary that it has distinct objects that are defined.

For example, a set of first 10 natural numbers is

A= [1,2,3,4,5,6,7,8,9,10]

It is well defined and therefore called as set which has first 10 natural numbers as its elements.

Same is the case with the collection of current NFL players.

The collection contains defined number of players. Therefore, this collection is called a set.

The members of the collection or team will be known as the elements of the set.

You can learn more about a set collection from

https://brainly.com/question/8053622
#SPJ4

Answer:

30 + 19.99 per hour

Step-by-step explanation:

ADD THEM IN A EQUATION.

SO SIMPLE TO DO THAT!

Answer:

Step-by-step explanation:30+19.99x