Find the value of x, please show your work

The Recursive formula for the given explicit formula is u(1) = 1 and u(n+1) = u(n) + 4 , for n = 1 , 2 , 3 ....  , the correct option is (b) .

In the question ,

it is given that ,

the explicit formula is u(n) = 4n - 1 .

and u(n) = 1 ,

we need to find the recursive formula ,

We substitute n + 1 in place of n , in the equation u(n) = 4n - 1

after substitution , we get

u(n+1) = 4(n + 1) - 1

u(n+1) = 4n + 4 - 1

u(n+1) = 4n + 3

Subtracting u(n) = 4n - 1 from u(n+1) = 4n + 3  ,

we get

u(n+1) - u(n) = 4n + 3 - (4n - 1)

u(n+1) - u(n) = 4n + 3 - 4n + 1

u(n+1) - u(n) = 3 + 1

u(n+1) - u(n) = 4

u(n+1) = u(n) + 4

Therefore , The Recursive formula for the given explicit formula is u(1) = 1 and u(n+1) = u(n) + 4 , for n = 1 , 2 , 3 ....

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Answer:

14.7

Step-by-step explanation:

hopes this helps please mark brainliest

The commission on the sale of 31000 worth of furances when the rate of commission is 4% is given by 1240.

Given that, a salesperson's commission rate is 4%.

Sale of person is 31000.

So the commission of the that sales is = 31000*4% = 31000*(4/100) = 310*4 = 1240

Hence the commission of the sale is 1240.

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The completed table of coordinates for the exponential function can be  presented as follows;

x; -2,       -1,  0, 1,       2

y ; 16/9, 4/3, 1, 3/4, 9/16

Please find attached the graph of the function created with MS Excel

The correct graph is therefore, option D

An exponential function is one that has the argumant as an exponent

The values in the table can be found as follows;

[tex]f(x) = \left(\frac{3}{4} \right)^x[/tex]

[tex]f(x) = \left(\frac{3}{4} \right)^{-2} = \dfrac{16}{9}[/tex]

[tex]f(x) = \left(\frac{3}{4} \right)^{-1} = \dfrac{4}{3}[/tex]

[tex]f(x) = \left(\frac{3}{4} \right)^{0} = 1[/tex] The y-intercept

[tex]f(x) = \left(\frac{3}{4} \right)^{1} = \dfrac{3}{4}[/tex]

[tex]f(x) = \left(\frac{3}{4} \right)^{2} = \dfrac{9}{16}[/tex]

The completed table is therefore;

x; -2,       -1,  0, 1,       2

y ; 16/9, 4/3, 1, 3/4, 9/16

The graph of the function ,  [tex]f(x) = \left(\frac{3}{4} \right)^x[/tex], therefore, has a y-intercept of 1, and a maximum value of 16/9 at x  = -2

The best cprect option  for the graph is therefore option  D

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Answer:

A x<-3

y ≤-x+1

Step-by-step explanation:

x<-3

y ≤-x+1

If the brake can hold the wheel stationary when the force applied to the lever i

(a) P = 30 N     -> No

(b) P = 70 N     -> Yes

To hold lever,

x + Σ[tex]M_{O} = 0[/tex]             [tex]F_{B}(0.15) - 5 = 0[/tex]            [tex]F_{B} = 33.333 N[/tex]

Require

[tex]N_{B} = \frac{33.333}{0.3}[/tex]

      = 111.1 N

Lever,

x + Σ[tex]M_{A} = 0[/tex]            [tex]P_{Reqd.}[/tex](0.6) - 111.1(0.2) - 33.333(0.5) = 0

[tex]P_{Reqd.}[/tex] = 39.8 N

(a) P = 30 N < 39.8 N           No

(b) P = 70 N > 39.8 N           Yes  

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The slope is 5. The slope of a line parallel to this equation will be 5, regardless of its position.

To find the line that goes through the point (3,5) that has slope = 5.

y = 5x + b

now use the point to find 'b'

5 = 5(3) + b

b = -10

perpendicular: [tex]\frac{1}{2}[/tex]

[tex]y-0.5= \frac{1}{2} \times(x + 0.5)[/tex]

[tex]y - 0.5 = \frac{1}{2}x + 0.25[/tex]

[tex]y = \frac{1}{2}x+\frac{3}{4}[/tex]

What is Slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

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Answer:

128 dollars

Step-by-step explanation:

hope it helped! :)

Answer:

72=9x+6

x= 7.111111111111111111111111111111111111111111111111111111111111and on

Step-by-step explanation:

Proved  that the line L and M are parallel lines

Here we have to prove that L and M are parallel

One angle at the point at F is given that 139 degrees

We know sum of angles on a straight line is 180 degrees

Then the other angle will be

139 + a = 180

a = 180 - 139

a = 41 degrees

Now consider the triangle and find the value of x

The sum of interior angles of a triangle is 180 degrees

then

(3x+8) + (3x) + (9x+7) = 180

3x+8 +3x +9x + 7 = 180

15x + 15 = 180

15x = 180 - 15

15x = 165

x = 165/15

x  = 11

Then the value of angle 3x +  8 = 3 × 11 + 8

= 33 + 8

= 41 degrees

Before that we have solved the angle at f = 41 degrees, therefore both are equal angles  which is called corresponding angles

Therefore, the line L and M are parallel

Hence, proved  that the line L and M are parallel lines

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Answer:

5.  (6 hours)/(1 day)

6.  (8 quarts)/(1 container)

Step-by-step explanation:

5.  The number line shows both hours and days.  It does not indicate why the relationship exists.  Perhaps the hours are the ones worked in a day.  What’s important is whether the relationship between the two is the same for all data pairs.  E.g., 12/2 = 6; 36/6 = 6; 60/6 - 5, and so forth.  They are all the same ratio, or rate: (6 hours)/(1 day)

6.  The number line shows both quarts and containers.  The  relationship between the two is the same for all data pairs.  E.g., 8/5,  16/10 or 8/5; 24/15 or 8/5; 32/20 or 8/5, and 40/25 or 8/5.   They are all the same ratio, or rate: (8 quarts)/(1 container).

Answer:

2

Step-by-step explanation:

Degree is the largest exponent        = 2   (as written)

Answer: 30%; Second Model

Step-by-step explanation:

Since it is 90/300, simplified into 3/10

The percentage is 30% and the second model shows 3/10, the first one shows 2/5.

The equation of line is y = 3x - 6

Define Equation of line.

          y - y₁ = m (x - x₁)  

We have the given points,

(1, -3) and (3, 3)

Let, (x₁ , y₁) = (1, -3)     and,

(x₂, y₂) = (3, 3)

Formula for equation of line is,

y - y₁ = m (x - x₁)

Where m is slope and for that we have formula for slope is

m =  (y₂ - y₁) / (x₂ - x₁)

plug in the values,

m = (3 - (-3) ) / (3 - 1)

m = 6 / 2

m = 3

Now, we get the slope. Now, just put the values in equation of line formula

y - y₁ = m (x - x₁)

y - (-3) = 3 (x - 1)

y + 3 = 3x - 3

y = 3x - 6

Hence, the equation of line is y = 3x - 6

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The no. of people whole likes only roller coasters is 19.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Let N(U) be the no. who likes at least one of the rides which is

N(U) = (60 - 8) = 52 as 8 people do not like either kind of ride.

Given, The number of people who like roller coasters is 42 and the number who do not like water rides is 23.

∴ The no. of people who only likes roller coasters is (42 - 23) = 19.

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The statement that two of the team members must have personal records that are within four inches of each other it is not true for three high jumpers, and true for four high jumpers.

1 foot =  12 inches

So, for three high jumpers the statement is not true. A counterexample,

First player = 6 feet

Second player = 6 feet 6 inches

Third player = 6 feet 11 inches

Thus, personal record each player have interval more than 4 inches of each other.

For four high jumpers the statement is true. Since there are 4 jumpers and 3 intervals by the pigeonhole principle, at least two of the four jumpers have intervals within four inches. For example, in the image, the new jumpers should be placed in areas A, B, C and this makes at least two of the four jumpers have an interval of four inches.

Thus, the statement is not true for three jumpers and true for four jumpers.

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The precise value of p is 4/18. Jae Hee's expected score in the game is 1.833. Jae Hee has a 1/162 chance of receiving a total score of -3. The likelihood that something will happen is defined as probability.

Therefore,

Value of p is,

∈p = 1

1/18 + p + 3/18 + 1/18 + 2/18 + 7/18 = 1

14/18 + p = 1

p = 4 / 18

So the exact value of p is 4/18

Expected score of the game :

∈(x) = ∈xi pi

= -3 (1/18) - 1 (4/18) + 0 (3/18) + 1 (1/18) + 2 (2/18) + 5 (7/18)

= 33/18

= 1.833

Expected score of the game Jae Hee plays is 1.833

Calculate Probability of Jae Hee getting total score of -3

p (total score -3 )

= p(x= -3) and p(x=0) + p(x=0) and p (x=3)

= 1/18 × 1/18 + 1/18 × 1/18

=1/162

Probability of Jae Hee getting total score of -3 is 1/162

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Answer:

Step-by-step explanation:

The Geometric Mean between the pair of numbers 8 and 12 is 4√6   .

Geometric Mean between the numbers x and y is calculated using the formula ,

GM = √(x * y),

where GM represents the Geometric Mean

In the question ,

it is given that ,

the pair of numbers are 8 and 12 .

we need to find the geometric mean between them ,

By using the Geometric Mean formula from above ,

we get ,

GM = √(8 × 12)

GM = √96

GM = 4√6

Therefore , The Geometric Mean between the pair of numbers 8 and 12 is   4√6  .

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The ratio of the amounts is x/24.

The amount invested in company A is unknown. The amount is represented by the variable "x". The amount invested in company B is $24. We need to find out the ratio of the amount invested in company A to that of company B. We need the answer as a fraction.

Let the ratio be represented by the variable "r". A ratio compares two numbers. A ratio expresses how much of one thing there is in comparison to another. A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction denotes the number of components of a specific size.

r = x/24

Hence, the ratio of the amount invested in company A to that of company B is x/24.

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The equation that could be used to find the measure of angle B is Sin B = √5/5.

According to the question,

We have the following information:

We have a right-angled triangle with all its sides given.

Now, in order to find the measurement of angle B, we will use trigonometric functions. Two functions Sin and Cos are given in options. So, we will find the values of angle B using these two.

Cos B = AB/BC

Cos B = 6/3√5

Cos B = 2/√5

Now, multiplying both the numerator and denominator by √5:

Cos B = 2√5/5

Now, this equation is not given in options. So, we will find the angle using Sin.

Sin B = AC/BC

Sin B = 3/3√5

Sin B = 1/√5

Now, multiplying both the numerator and denominator by √5:

Sin B = √5/5

Hence, the correct option is B.

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The linear equation will be y=34x+12 and the slop is 34 and y intercept is 12. And the sunflower will be 420 inches tall after a year.

Here, the sunflower was 12 inches when first planted and it grows 34 of an inch each month

So, the linear equation will be

y=34x+12

Where,

y=height

x=month

now,

the slope-intercept equation is

y=mx+c

Where,

m=slope

c=y intercept

Comparing this equation with equation (1)

We will get

m=34

c=12

so, the slope is 34 and y intercept is 12.

now,

The tree is 12 inches when it first planted and since then it grows 34 of an inch every month

So,

Height of tree after a year =12+34×12

Height of tree after a year = 12+408

Height of tree after a year = 420 inches.

Hence,

The tree will be 420 inches tall after a year.

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The domain of this function c(x) = 14x + 13 using interval notation is (0, ∞).

The range of this function c(x) = 14x + 13 using interval notation is (13, ∞).

In Mathematics, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

Additionally, the vertical extent of any graph represents all its range values and they are always read and written from smaller to larger numerical values, and from the bottom of a graph to the top.

By critically observing the graph of this function shown in the image attached below, we can reasonably infer and logically deduce the following:

Domain = (0, ∞).

Range = (13, ∞).

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The slope of the line is 1/3

First we have to choose two points from the graph

The first point = (1, -5)

The second point = (7, -3)

The slope of the line is the change is y coordinate with respect to the change in x coordinate of the function

The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinate of the first point

[tex](x_2,y_2)[/tex] is the coordinate of the second point

Substitute the values in the equation

The slope of the line = (-3 - (-5) / (7 - 1)

= (-3+5) / 6

= 2 / 6

= 1/3

Hence, the slope of the line is 1/3

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If Salma sold 60 cups of lemonade with total 920 ounces, then the number of small cups is 10 and the number of large cups is 50.

The problem can be translated into a system of linear equations.

Let:

p = the number of small cups sold

q = the number of large cups sold

"Salma sold 60 cups"  can be translated into equation:

p + q = 60   (equation 1)

"totaling 920 ounces" can be translated into equation:

12p + 16q = 920  (equation 2)

Multiply equation 1 by 12 then substracted from equation 2:

12p + 16q = 920

12p + 12q = 720 _

          4q = 200

            q = 50

Substitute q = 50 into equation 1:

p + 50 = 60

p = 10

Hence, the number of small cups = 10, the number of large cups = 50.

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Answer:

Step-by-step explanation:

ashleys bill was 100 so by knowing any percentage times 100 is itself ashleys tip was $15

Answer:

the amount on the tip is 15.00$

but when you add the amount of the total cost and the tip it would be $115 dollar they spend

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

i got 100

B. No attempt is made to contact noncorrespondents.

Hence,B. No attempt is made to contact noncorrespondents.

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Answer:

points: (4,-1) (1,-1) (4,-3)

Step-by-step explanation:

A domain restriction placed on a non-invertible function affect its inverse.

Using inverse function concepts, it is found that:

The inverse of the function is [tex]y = \sqrt{x+3}-1[/tex], and the domain of the inverse function is [tex]\left[-3,\infty ][/tex]

   A function will have an inverse if for each output, there is only one respective input.

   The domain of the inverse is the range of the original function.

The function given is:

[tex]f(x) = (x+1)^{2} -3[/tex]

   It's range is [tex]\left[-3, \infty][/tex], which will be the domain of the inverse.

To find the inverse, we exchange x and y, and isolate y, then:

[tex]y = (x+1)^{2} - 3\\ \\x = (y+1)^{2} - 3\\\\(y+1)^{2} = x+3\\ \\\sqrt{((y+1)^{2}} = \sqrt{x+3} \\\\y+1 = \sqrt{x+3}\\\\y = \sqrt{x+3} -1[/tex]

The inverse of the function is [tex]y = \sqrt{x+3} -1[/tex], and the domain of the inverse function is [tex]\left[-3, \infty][/tex].

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Answer:

sunday and saturday i believe

Step-by-step explanation:

lmk if it helps! :)