a. Using variables, write out the formula for the point-slope form of the equation.

b. Determine the slope of the line that passes through the points (-2, 1) and (0, 1).

c. Identify the point (-2, 1) as (x1, y1).

d. Write the equation of the line in point-slope form.

Show all work on how you found the slope or determined the slope from the graph. Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.

Answer: 240 combinations

Step-by-step explanation: So basically because you can have a possibility of 16 people being chairperson and 15 vice chairpersons, so all you have to do is multiple 16x15 which is 240.

The standard form equation for a line passing through the point (-3, 4) and parallel to the line denoted by y = 1/2x+4 is 2y - x = 11.

The standard form equation

ax + by = c

Here a, b, and c are constants and therefore use the slope-intercept form.

y = mx + c ...... (1)

where m is the slope, b = y-intercept

y = 1/2x + 4

Slope (m) = 1/2

It passes through a line that has points (-3,4)

Let's find c by putting the value of x = -3 and y = 4 in equation (1).

4 = 1/2 (-3) + c

4 = -3/2 + c

c = 4 + 3/2

=> c = (8+3)/2

=> c = 11/2

Therefore,

y = 1/2x + 11/2

y = (x+11)/2

=> 2y - x = 11

2y - x = 11 is the standard form of the line that passes through (-3,4) and is parallel to the line represented by y = 1/2x+4.

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Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

Step-by-step explanation:

When dealing with transversals, most angles either add to 180 or equal to each other. These angles form a linear pair so they add to 180

[tex](x + 1) + 4x - 36 = 180[/tex]

[tex]5x - 35 = 180[/tex]

[tex]5x = 215[/tex]

[tex]x = 43[/tex]

So

[tex]x + 1 = 43+ 1 = 44[/tex]

[tex]4(43) - 36 = 136[/tex]

Answer:

x + 1 = 44 degrees

4x - 36 = 136 degrees

Step-by-step explanation:

Since the lines are parallel, the angles are same-side-interior angles, which means they are supplementary and add up to 180:

x + 1 + 4x - 36 = 180

5x - 35 = 180

5x = 180 + 35

5x = 215

x = 43

x + 1 = 43 + 1 = 44 degrees

4x - 36 = 4(43) - 36 = 136 degrees

The value of x for the given equation (2x+5)=(17x-14) will be 19/15.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

(2x+5)=(17x-14)

We have to rearrange the equation by applying the arithmetic operation for the like term, the terms which are similar, and we can perform arithmetic operations on it like addition and subtraction.

17x-2x=5+14

15x=19

x=19/15

Thus, the value of x for the given equation (2x+5)=(17x-14) will be 19/15.

The question is incomplete, the complete question is"solve the value of x for the given equation,

(2x+5)=(17x-14)

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The function that can represent the graph is the option;

f(x) = x²·(x - a)²·(x - b)⁴·(x - c)

A function that only uses non-negative integer powers or only positive integer exponents of a variable in an equation is referred to as a polynomial function.

As, the graph touches the at x axis by 3 points.

So, the graph has an even multiplicity at three points as x², (x - a)², and  (x - b)⁴ .

Now, The function has a single zero or factor such as (x - c) in the first equation

So, The function that could represent the graph is the function

f(x) = x²·(x - a)²·(x - b)⁴·(x - c)

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The value of ex = e2x + 5 is -5.

The mathematical expression f(x)=exp or ex denotes the exponential function. Unless otherwise stated, the term typically refers to the positive-valued function of a real variable. it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.

Given ,

[tex]e^x=e^{2 x}+5[/tex]

By simplifying the exponential rule we get

x= -5

Therefore the value of [tex]e^x=e^{2 x}+5[/tex] is -5

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Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Answer:

v = 7

Step-by-step explanation:

42 = v + 35

-35        -35

7 = v

The answer is D. 7

I took the quiz and got it right

Yes Timothy is correct because triangle AKLM was dilated by a scale factor of 1.5 centered at the origin.

In Geometry, dilation simply refers to a type of transformation which changes the size of a geometric object based on the scale factor, but not its shape.

For the given vertices of triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) or center of dilation should be calculated as follows:

Point K (-1, 3) → Point K' (-1 × 1.5, 3 × 1.5) = Point K' (-1.5, 4.5).

Point L (8, 4) → Point L' (8 × 1.5, 4 × 1.5) = Point L' (12, 6).

Point M (10, -3) → Point M' (10 × 1.5, -3 × 1.5) = Point M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph, and as such Timothy is correct.

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Answer:

D: x≤-4

Step-by-step explanation:

If its not just reply to me and i will re asses

Answer:

3

Step-by-step explanation:

Answer:

it is £16490.36

Step-by-step explanation:

since £156.78 is 100%, £16470.45 by 3.5 is £16490.36

Answer:

it's 17,046.92

Step-by-step explanation:

that's what my calculations said

Answer:

[tex]x + 3y = -30:[/tex] Perpendicular to line a

[tex]y = \frac{1}{3} x + 1 :[/tex] Neither Parallel nor Perpendicular to line a

[tex]-3x + y = -2 :[/tex] Parallel to line a

Explanation:

[tex]-3x + y = -4\\y = 3x - 4[/tex]

[tex]x + 3y = -30\\3y = x - 30\\y = \frac{1}{3} x - 10[/tex]

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

[tex]-3x + y = -2\\y = 3x - 2[/tex]

Answer:

p = 1

Step-by-step explanation:

Given equation,

→ -8(1 + 4p) + 7p = -25 - 8p

Let's solve for the value of p,

→ -8(1 + 4p) + 7p = -25 - 8p

→ -8 - 32p + 7p = -25 - 8p

→ -32p + 7p + 8p = -25 + 8

→ -17p = -17

→ p = (-17)/(-17)

→ [ p = 1 ]

Hence, the value of p is 1.

The equations 66 ÷ 10  = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true. which is the correct answer would be options (A), (B), (D), and (E).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A. 66 ÷ 10  = 6.6

66/10 = 6.6

This is the true equation.

B. 660 ÷ 10 = 66

660/10 = 66

This is the true equation.

C. 6,600 ÷ 1,000 = 0.66

This is not the true equation.

D. 0.66 ÷ 10 = 0.066

This is the true equation.

E. 6 ÷ 100 = 0.06

This is the true equation.

Thus, the equations 66 ÷ 10  = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true.

Hence, the correct answer would be options (A), (B), (D), and (E).

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In completing the square method, considering the equation X^2 - 2x +  the number to be added should be 1 to make it a perfect square

The standard quadratic equation is of the form

ax^2 + bx + c

The completing the square method is one of the methods of solving quadratic equations

The factor to be added to the equation while using the completing the square method is of the formula

(b / 2a)^2

compared to the equation in the problem X^2 - 2x +

= (b / 2a)^2

= (2 / 2)^2

= (1)^2

= 1

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The time taken for the rocket to reach its maximum height by virtue of the information given is; 2.25 seconds.

The maximum height reached by the toy rocket is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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Considering the function C = 5 + 4e, it is found that:

a. The situation represents a linear function, as the increase in the price is constant for each kwh hour used.

b. The continuous domain of the function is: e ≥ 0.

c. The graph of the function is given by the image shown at the end of the answer.

A linear equation is a special function that has the format of the equation given as follows:

y = mx + b.

The coefficients of the equation y = mx + b are given as follows:

For this problem, the function is:

C(e) = 5 + 4e.

Which is a linear function, as it follows the same format of the general linear function, with a constant cost of 4 per each kwh used.

The domain of the function contains the set of all possible input values of the function. Hence, in this problem, it is composed by the amounts of kwh used, which:

Hence the domain is:

e ≥ 0.

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Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $29,000          $0           $29,000         $11,600            $11,600   $17,400

2   $29,000    $11,600          $17,400          $6,960           $18,560  $10,440

3   $29,000   $18,560          $10,440           $4,176           $22,736   $6,264

What is the double-declining-balance method?

The double-declining-balance method is one of the depreciation methods in use, but it allocates more cost to the earlier years of the asset's life.

This depreciation method uses twice the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2.

For each year's depreciation expense, the double rate is applied at the end of the year's balance.

For the last year, the difference between the previous year's ending balance and the residual value is taken as the depreciation expense.

Auto  = $29,000

Estimated useful life = 5 years

Residual = $2,000

Depreciable amount = $27,000 ($29,000 - $2,000)

Straight-line depreciation rate = 20% (100/5)

Double-declining depreciation rate = 40% (20% x 2)

Depreciation Expense:

1st year = $11,600 ($29,000 x 40%)

2nd year = $6,960 ($17,400 x 40%)

3rd year =  $4,176 ($10,440 x 40%)

4th year = $2,506 ($6,264  x 40%)

5th year = $1,758 ($3,758 - $2,000)

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                  Depreciation        B.O.Y         Expense     Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $29,000          $0           $29,000         $11,600            $11,600   $17,400

2   $29,000    $11,600          $17,400          $6,960           $18,560  $10,440

3   $29,000   $18,560          $10,440           $4,176           $22,736   $6,264

4   $29,000  $22,736           $6,264          $2,506           $25,242   $3,758

5  $29,000  $25,242            $3,758           $1,758           $27,000  $2,000

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Step-by-step explanation:

girls:boys

3:1

total=400

1/3 × 400

400/3

=133.33

to whole number

=133 boys

Answer:

The correct answer is 100

The probability that exactly 6 of the selected adults believe in reincarnation is 0.055

This will be a binomial distribution with parameters:

n = 7, p = 0.50

Hence,

a) P (Exactly 6)

= ⁷C₆(0.50)⁶ (0.50)¹

= 0.055

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The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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In the graphs given, only graph F has two x - intercepts and a < 0 i.e the graph is facing downwards or opens downwards

The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph. You can think of like an endpoint of a parabola.

In this question, we have to find the graph of a function f(x) that a < 0 and has two intercepts.

The easy features of this graph are

In the options given, only graph F has such features and it is the answer to the question.

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Answer:

---------------------

Initial number of pairs of shoes is 20.

To achieve 50 pairs Mindy needs 30 more pairs.

Each week 2 pairs added but 1 removed. It makes total of 1 pairs addition.

After 28 weeks Mindy will have 20 + 28 = 48 pairs of shoes.

The next week he will purchase 2 more pairs and get 50 pairs in total.

The number of weeks it will take for her closet to have 50 pairs of shoes would be = 30 weeks.

A purchase price is the amount of money that was use to obtain a valuable.

The number of shoes owned by Mindy = 20 pairs

The number of shoes Mindy purchases per week = 2 pairs

The number of shoes Mindy destroys = 1 pair.

Therefore, in a week Mindy has an additional 1 pair of shoe.

The number of pairs she needs extra = 50-20 = 30

Since 1 pair of shoe = 1 week, she will require 30 weeks to purchase additional 30 pairs making it up to 50 pairs of shoes she owns.

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The total cost of the fabric Jorani bought is 330 dollars.

Jorani buys [tex]8\frac{1}{3}[/tex] bolts of fabrics.  Each bolt has 24m of fabric. The fabric costs $1.65 per metres. The total cost of the fabric can be calculated as follows:

1 bolt = 24 metres

25 / 3 bolt = ?

cross multiply

length of the fabrics = 25  / 3 × 24

length of the fabrics = 600 / 3

length of the fabrics = 200 metres

Therefore,

1 metres = 1.65 dollars

200 metres = ?

cross multiply

cost of the fabric = 200 × 1.65

cost of the fabric = 330 dollars

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f(x) can be written as y

y=6x/8

make x the subject

8y=6x

x= 8y/6

replace y with x and x with f(x)

answer:

f(x)-1 = 8x/6

The positive solution of the given condition is 7.

What is a quadratic equation?

A second-order polynomial equation with a single variable, x, is known as a quadratic equation.

i.e. [tex]ax^{2} +bx+c=0[/tex]

Let '[tex]x[/tex]' be a number, then

The six-times a number= [tex]6x[/tex]

&, the square of a number= [tex]x^{2}[/tex]

Now, according to the question,

or,  [tex]6x = x^{2} -7[/tex]

or, [tex]x^{2} -6x-7=0[/tex]

or, [tex]x^{2} -7x+x-7=0[/tex]

or, [tex]x(x -7)+1(x-7)=0[/tex]

or, [tex](x -7)(x+1)=0[/tex]

Either, [tex](x -7)=0[/tex]            or, [tex](x+1)=0[/tex]

            [tex]x=7[/tex]                            [tex]x=-1[/tex]

Therefore, the positive solution is x = 7.

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Answer:

5.39

Step-by-step explanation:

Answer: 9.09%

that is the answer

The fraction which shows what part of packages they have eaten is 3/5.

What is fraction?

A fraction is characterized as a portion of something larger. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

Main Body:

Total no. of boxes of cereals in a package = 10

Total no. of boxes eaten by family = 6

Fraction  can be calculated by directly by diving the values.

Fraction ⇒ 6/10

dividing by 2 on both denominator and numerator

hence, Simple fraction is 3/5.

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