(4,3)(-5,2) solve and plot example is in the photo​

Answer:

85,000 i think

Step-by-step explanation:

The required cost function is c(b) = 35b + 475, and the completed table is shown.

A function is a relation where every input is connected to only one possible output from a set of available inputs.

Given that, the cost of the plane ticket is $475 and the cost per checked bag is $35.

The cost of b checked bags is $35b.

Therefore, the total cost is:

c(b) = 35b + 475

The completed table is:

               Number of bags(b)                                  Total cost c(b)

                            0                                                          475

                            1                                                            510

                            2                                                           542

                            3                                                           580

                            4                                                           615

                            6                                                           685

                            8                                                           755

Hence, the required cost function is c(b) = 35b + 475.

Learn more about functions:

https://brainly.com/question/21145944

#SPJ1

The perimeter of the rectangle with area of 108 cm is 48 cm.

The perimeter of a rectangle is the sum of the whole sides of the rectangle. A rectangle is a quadrilateral with opposite side equal to each other.

Therefore,

area of a rectangle = lw

where

Therefore,

l = 3w

108 = 3w(w)

108 = 3w²

w² = 108 / 3

w = √36

w = 6

Hence,

length = 3(6) = 18

Therefore,

perimeter of the rectangle = 2(l + w)

perimeter of the rectangle = 2(18 + 6)

perimeter of the rectangle = 2(24)

perimeter of the rectangle = 48 cm

learn more on rectangle here: https://brainly.com/question/24214773

#SPJ1

Answer:

See below

Step-by-step explanation:

Sqrt(2x + 29)     - 7    = x        <===answering this version

       add 7 to both sides to get

sqrt(2x+29) = x+7            square both sides

2x+29  =   x^2 + 14x + 49      simplify

x^2 +12x + 20 = 0                  factor

(x+10)(x+2) = 0      shows x can be   -10  or -2

     sub in these values in the original equation to find only the answer

            x = -2 works       then the answer x = -10 is extraneous answer

Answer:

Step-by-step explanation:

-5x-25=78

-5x-25+25=78+25

-5x=103

divide both sides by -5

-5x/-5 = 103/-5

x=-103/5

The reasons for the possible congruency statements obtained from a similar question on the website are as follows;

Statement               [tex]{}[/tex]                                 Reason

7. ∠BAD ≅ ∠CAD

[tex]\overline{AD}[/tex] ≅ [tex]\overline{AD}[/tex]                       ⇒[tex]{}[/tex]                    Reflexive property

8. ∠2 ≅∠3

m∠2 = m∠3                     ⇒ [tex]{}[/tex]                  Angle congruency postulate

9. [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex]

[tex]\overline{DE}[/tex] ≅ [tex]\overline{AE}[/tex]

[tex]\overline{BE}[/tex] = [tex]\overline{CE}[/tex]           [tex]{}[/tex]              ⇒                    Segment Congruence Postulate

[tex]\overline{DE}[/tex] = [tex]\overline{AE}[/tex]           [tex]{}[/tex]              ⇒                    Segment Congruence Postulate

10. AE + BE = AB           [tex]{}[/tex]  ⇒                    Segment Addition Postulate

11. [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex]

[tex]\overline{DE}[/tex] ≅ [tex]\overline{AB}[/tex]          [tex]{}[/tex]               ⇒                    Symmetric property

Geometric figures are congruent if their shape and or size are the same.

Reflexive property of congruency

The reflexive property of congruency states that a shape is congruent to itself.

Angle congruency postulate

The angle congruency postulate states that if the measure of two angles are the same, then they are congruent

Segment congruency postulate

The segment congruency postulate states that if the length of two segments are the same, then the segments are congruent

Segment Addition Postulate

The segment addition postulate states a point B is located on a segment AC if and only if AB + BC = AC

Symmetric property of congruency

The symmetric property congruency states that if a geometric figure, A, is congruent to another geometric figure, B, then B is congruent to A

Learn more about congruency postulates in geometry here:

https://brainly.com/question/6108628

#SPJ1

The  z-score to percentile of 1 = -2.326

In this question, we need to find the z-score to percentile of 1

We know that a Z-scores is a normalized score that used to compare values relative to their population. z-score represents a specific location in the normal distribution, so that there is a certain area that is to the left of that z-score. The percentile associated to a z-score is nothing but the area to the left of that z-score.

the  z-score to percentile of 1 = -2.326

Therefore, the  z-score to percentile of 1 = -2.326

Learn more about the z-score here:

https://brainly.com/question/28050139

#SPJ1

The next equation will be 6²-4²=2×10.

Here, we have given three equations and we have to find out the next equation.

The first three equations are like this

1. 3²-1²=2×4

2. 4²-2²=2×6

3. 5²-3²=2×8

Now,

As from the equation

On the L.H.S. we can see that every time it is creating a sequence

Like,  every time it is subtracting square value of the one’s from the another number’s square

Which is the value we got from adding 2 in first value.

And on the R.H.S.

We can say that every time 2 multiplies with the next even number than the previous one

So,

The last equation was 5²-3²=2×8

Therefore,

The next equation will be

6²-4²=2×10

To learn more about linear equation refer to :

https://brainly.com/question/26310043

#SPJ9

The complete ratio is24:8=3:1.

What is ratio?

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organisations is shown by the part-to-part ratio. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio describes how one group compares to another. For instance, five people enjoy reading books out of every ten persons. Since the ratio of the component to the total is 5:10, 5 out of every 10 persons enjoy reading.

Here the given ratio 24:8=3:?

Let us take missing part as x then,

=> 24:8=3:x

=>24/8=3/x

=>x = 3*8/24

=> x=1

Hence the complete ratio is 24:8=3:1

To learn more about ratio refer the below link

https://brainly.com/question/17223098

#SPJ9

Answer:

Brown 180°

Ginger 84°

Blonde 96°

Step-by-step explanation:

Brown 360 x 15/30 = 180

Ginger 360 x [tex]\frac{7}{30}[/tex] = 84

Blonde 360 x [tex]\frac{8}{30}[/tex] = 96

The amount it would cost Rachel to shelve her book collection is $51.80.

The first step is to determine the total width of the 79 books in the collection.

Total width = width of one book x total number of books

Total width = 1.5 x 79

Total width = 118.50 inches

The second step is to calculate the number of shelves that would be needed for the book collection.

Number of shelves that would be needed = total width of the collection / width of one shelf

Number of shelves that would be needed = 118.50 / 34.50

Number of shelves that would be needed = 3.4 ≈ 4

Total cost to shelve the book collection = cost of one shelf x total number of shelves needed

Total cost to shelve the book collection = 4 x $12.95 = $51.80

Please find attached the complete question. To learn more about cost, please check: https://brainly.com/question/27517256

#SPJ1

Sale price of the house should be $141509

Amount = $150000

Commission% = 6 %

By formula

Selling price x commission rate = commission paid

SP × 6% = commission paid

(6·SP)/100 =  commission paid …. (1)

Again by formula

Selling price – commission paid = net amount to seller

SP - (6·SP)/100 = 150000   (from equation 1)

SP ( 1 - 0.06) = 150000

SP = 141509.43 ≈ 141509

$141509 should be the sale price of the house.

To know more about commission here

https://brainly.com/question/14876023

#SPJ1

Answer: 1: Congruent angles

2: Corresponding Angles

3: 7

Step-by-step explanation:

I'm not entirely sure if I got all of these correct due to the fact I'm not the best when it comes to math, but when I searched the word bank options and looked at the images, I made sure they looks the most similar.

Adjacency matrices have to be symmetric. This is true.

An adjacency matrix is a square matrix used to represent a finite graph in graph theory and computer science. The matrix's elements indicate whether or not two vertices in the graph are adjacent. The adjacency matrix of a finite simple graph is an a-matrix with zeros on its diagonal.

An adjacency matrix is a method of representing a graph as a boolean (0 or 1) matrix. Any graph's adjacency matrix is symmetric, for the obvious reason that there is an edge between Pi and Pj if and only if Pj and Pi have an edge (the same one).

Learn more about matrix on:

https://brainly.com/question/18403205

#SPJ4

Answer: $7.95

Step-by-step explanation:

95.40/12

= $7.95

Answer:

unit rate per book

= $95.40 ÷ 12 books

= $7.95 per book

The distance between the points B and C is 12m

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

for the coordinates B (-14,-5) and C(-14, 7), then x1 = -14 ,x-2= -14 , y1= -5 and y2= 7

therefore d =√((x2 – x1)² + (y2 – y1)²) = √((-14– -14)² + (-5 – 7)²)

d=√((0)² + 12²)

d=√144

d= 12m

therefore the distance between the points B and C is 12m.

learn more about distance between points from

https://brainly.com/question/7243416

#SPJ1

1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

Given that,

The formulas 1/4(10x+8) and -(1/2x+13) + 3(x+5) are being examined by three Math Club members for all possible values of x. According to the findings in the table, each student asserts that the expressions are connected.

We have to find which student is right.

Take the

1/4(10x+8) = 10/4x+8/4 = 5/2x+2

-(1/2x+13) + 3(x+5) = -1/2x-13+3x+15 = 5/2x+2

So, 1/4(10x+8)= -(1/2x+13) + 3(x+5)

Therefore, 1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

To learn more about values visit: https://brainly.com/question/13799105

#SPJ1

Has 5 1/2 cups or 11/2

Needs 1 3/4 or 7/4

Divide how much she has by how much she needs

(11/2) / (7/4)

Is also the same as

(11/2) * (4/7)

Which equals

= 44/14

= 22/7

or 3 1/7

Hannah travel for 40 minutes when Hannah travels 5 times as many minutes to work as Raoul does. Together, they travel for 48 minutes.

In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given,

Let Raoul travel in minutes be x

So, Hannah travel in minutes will be 5x

Together, they travel for 48 minutes.

Equation:

x + 5x = 48

6x = 48

x = 8

Hannah travel in minutes will be 5x.

Total travel by Hannah:

5(8)

40

Hannah travel for 40 minutes when Hannah travels 5 times as many minutes to work as Raoul does. Together, they travel for 48 minutes.

To learn more about equation, visit:

https://brainly.com/question/10413253

#SPJ1

A line that represent the "rise" and the "run" of the line is shown in the image attached below. Also, a slope of this line in simplest form is equal to 0.25.

Mathematically, the slope of a line is also referred to as pitch or gradient and can be calculated by using this formula:

Slope, m = V/H

Where:

From the graph of this line, we would choose the following data points to represent both the rise and run:

Rise (x, y) = (-5, 0)

Run (x, y) = (7, 3)

Substituting the selected data points into the slope formula, we have;

Slope (pitch), m = (3 - 0)/(7 - (-5))

Slope (pitch), m = (3 - 0)/(7 + 5)

Slope (pitch), m = 3/12

Slope (pitch), m = 0.25

At point (-5, 0), the equation of this line would be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the parameters into the formula, we have;

y - 0 = 0.25(x - (-5))

y - 0 = 0.25(x + 5)

y = 0.25x + 1.25

Read more on slope here: brainly.com/question/6781555

#SPJ1

Answer:

(0, -8)

Step-by-step explanation:

The y-intercept of the line is -8, meaning the coordinate point is (0, -8),

Kayla's expected value for a 2- point shot is 1 point.

What is expected value?

The expected value, also known as expectation, expectancy, arithmetical expectation, mean, average, first or moment, is a generalization of the weighted average in the field of probability theory. Informally, the estimation is the arithmetic mean of a significant number of values of a random variable that were independently chosen. A weighted average of all potential outcomes constitutes the expected value of the a random variable with such a finite number of outcomes. When there is a continuum of potential outcomes, integration defines the expectation. The expectation is provided by Lebesgue integration in the measure theory-based axiomatic foundation for probability.

Sol- The expected value is calcuated using the formula:

EV= x.P(x)

where x is the weight/value of the event, and P(x) is the probability of the event occurring.

For a 2-point shot, we have:

X=2

P(x) = 50/100 = 0.5

There for the expected value will be -

EV = 2×0.5 = 1

Thus,

The expected value will be 1 point.

To know more about expected value click-
https://brainly.com/question/843074
#SPJ1

The equation of the line that passes though the point (-6,-7) and is perpendicular to the line 6x + 5y = 30 is y = (5/6)x -2 .

In the question ,

it is given that

the required line is perpendicular to the line 6x + 5y = 30 ,

rewriting the line we get

5y = -6x + 30

y = (-6/5)x + 6

the slope of perpendicular is -6/5 ,

the slope of the required line will be 5/6 .

The equation of the line passing through (-6,-7) with slope 5/6 is written as

(y - (-7)) = (5/6)(x - (-6))

y + 7 = (5/6)(x + 6)

y + 7 = (5/6)x + 5

y = (5/6)x + 5 -7

y = (5/6)x -2

Therefore  , the equation of the line is y = (5/6)x -2 .

The given question is incomplete , the complete question is

What is an equation of the line that passes through the point (−6,−7) and is perpendicular to the line 6x+5y=30 ?

Learn more about Equation Of Line here

https://brainly.com/question/18294280

#SPJ1

Answer:

Step-by-step explanation:

The margin of error is obtained by multiplying the standard error by t*.

The margin of error can be calculated in two ways, depending on whether you have population parameters or sample statistics:

Margin of error (parameter) = critical value x population standard deviation Margin of error (statistic) = Critical value x Sample standard error

A margin of error is a statistical metric that accounts for the difference between actual and projected survey results in a random sample.

In layman's terms, the margin of error measures the degree of unpredictability in data and research results. The margin of error formula is calculated by multiplying a critical factor. The result is then divided by the square root of the sample's number of observations.

Learn more about margin of error on:

brainly.com/question/24289590

#SPJ4

Answer:

$129.27 Sale price Including tax

Step-by-step explanation:

Original Price - Discount = Sale Price

130 - 130(0.12) = 114.40

114.40 + 114.40(0.13) = 129.27 Include sale tax

The function given f(x) = 4/x² + 1 concaves upward on (-∞,0)∪(∞,0) and has no point of inflection.

A point of inflection of the graph of a function f(x) is a point where the second derivative f′′(x) is 0. We have to wait a minute to clarify the geometric meaning of this.

A piece of the graph of f is concave upward if the curve ‘bends’ upward. For example, the popular parabola y=x2 is concave upward in its entirety.

A piece of the graph of f is concave downward if the curve ‘bends’ downward. For example, a ‘flipped’ version y=−x² of the popular parabola is concave downward in its entirety.

The relation of points of inflection to intervals where the curve is concave up or down is exactly the same as the relation of critical points to intervals where the function is increasing or decreasing. That is, the points of inflection mark the boundaries of the two different sort of behavior. Further, only one sample value of f′′ need be taken between each pair of consecutive inflection points in order to see whether the curve bends up or down along that interval.

In the function f(x) = 4 / x² + 1 has no points of inflection but it's concave upwards along (-∞, 0) ∪ (0, ∞)

Learn more on points of inflection and concavity here;

https://brainly.com/question/25605883

#SPJ1

The mass of sultanas is 1.5 kilograms which were found using the given data and ratio.

Given:

Ratio of currants: raisins: sultanas = 4:3:5.

The total mass of the three ingredients is 3.6 kilograms.

Let,

number of currants = 4x

number of raisins = 3x

number of sultanas = 5x

We know that,

4x + 3x + 5x = 3.6

12x = 3.6

x = 0.3

So, the mass of sultanas = 5x = 5(0.3) = 1.5

Therefore, the mass of sultanas is 1.5 kilograms which were found using the given data.

Learn more about ratios here:

https://brainly.com/question/2914376

#SPJ13

The possible real zeros for the function will be:

Positive: 4 or 2

Negative: 1

The Descartes rule of sign is technique which helps us  to find no. of real positive/negative and imaginary zeros a function has.

To apply the rule:

1. Arrange the function in the decreasing value of exponents of variables.

2. The no. of positive real zeros of f(x) will be either equal to the number of sign change or less than the number of sign changes by an even number.

3. For real negative real zeros it will be the same but we will check the sign change of f(-x).

now let's look at the function.

f(x) = 6[tex]x^{7}[/tex] -3[tex]x^{4}[/tex] + 6[tex]x^{3}[/tex] + 9[tex]x^{2}[/tex] - 7x + 4

The sign change here is 4 times so the value of +ve zeros of f(x) will be either 4 or 2.

similarly  let's take f(-x) for negative zeros.

f(x) = 6[tex](-x)^{7}[/tex] -3[tex](-x)^{4}[/tex] + 6[tex](-x)^{3}[/tex] + 9[tex](-x)^{2}[/tex] - 7(-x) + 4

Here sign change is 1 which cannot be decreased by an even no. so it is the only value.

Therefore the positive and negative zeros of the function will be 2 or 4 and 1 respectively.

To know more about Descartes rule of sign

https://brainly.com/question/28747313

#SPJ1