Comparing
Compare and contrast interpolations and extrapolations
based on a scatterplot.

The equation of the parallel line to y = 2x - 1, that passes through (-3, 1) is: y = 2x + 7.

Two lines that are parallel to each other would always have the same slope (m). In the slope-intercept form of the equation that represents a line, y = mx + b, the slope of the line is represented as "m", while the y-intercept is represented as b.

Given:

A point (-3, 1)

Equation, y = 2x - 1. The slope (m) = 2. Since parallel lines have the same slope (m), therefore, the line that passes through (-3, 1) also have a slope (m) = 2.

Substitute (x, y) = (-3, 1) and m = 2 into y = mx + b:

1 = 2(-3) + b

1 = -6 + b

1 + 6 = b

b = 7

To write the equation of the parallel line to y = 2x - 1, substitute m = 2 and b = 7 into y = mx + b:

y = 2x + 7.

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Answer:

I say b

Step-by-step explanation:

answer:

the solution is: x = 15

Solution of the given function g(x) = "-x^2" "-7" when x=-3  = 2.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function called g is defined by the notation y=g(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or g(x).

Given function

g(x) = -x² -7When x = -3

Whenever you're given a function, you simply plug in the x  value you're given and then calculate the result.

g(-3) =(-3²) - 7

g(-3) =(9) - 7

g(-3) =9 - 7

g(-3) =2

Hence, When x=-3 = 2, the given function g(x) has a solution of "-x2" "-7."

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Answer:

c

Step-by-step explanation:

because you do 12 times 9 minus 100 wich is 125 so yeah

Answer:

$60.00

Step-by-step explanation:

15 is 25% of a number. 25 times 4 equals 100. so 15 times four is 60, making 60 the 100%

Work Shown:

x = original price

75% of x = 0.75x = amount saved

x - 0.75x = 0.25x = final price after discount = 15

0.25x = 15

x = 15/0.25

x = 60

Answer:

120

Step-by-step explanation:

200 - 80 = 120

so 120 / 1 = 120

Answer:

200-80/1 which means (200-80) divided by 1

200 and 80 is in bracket so we solve it first:

200-80=120

now 120/1= 120

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690 ÷ 3 = 230

230 × 4 = 960

a whale will go 960 meters

The following banking transaction completed will appear in the register as follows:

DATE         COMPUTATION                    BALANCE ($)

April 16    145.00                                       145.00

April 18    145.00-65.34=79.66                79.66

April 23   79.66+(9.76)(35)=421.26          421.26

April 24   421.26-(61.32)(1.04)=357.49     357.49

Any money that transfers into or out of your bank account is considered a bank transaction. Cash withdrawals and deposits, cheques, internet payments, debit card charges, wire transfers, and loan payments are all examples of bank transactions.

In most contexts, the term "register" refers to the process of documenting an event, transaction, name, or other information, or an accumulation of recorded data, often comprising historical events, transactions, names, or other information. Alternatively, the phrase can refer to a record of all debit account charges.

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The correct value in the blank of the statement "1/9 times blank equals 4/27" is; 4/3

We are given the expression that 1/9 times blank equals 4/27.

Let the missing term be identified as y. Thus, we have;

1/9 * y = 4/27

In Mathematics, the reciprocal of any quantity is, one divided by that quantity. For any number 'b', the reciprocal will be 1/b. If the given number is multiplied by its reciprocal, we get the value 1.

To get the missing value y, we will use multiplication property of equality to multiply both sides by 9 to get;

1/9 * y * 9 = 4/27 * 9

y = 4/27 * 9

y = 4/3

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Answer: No both equations dont have x

Step-by-step explanation:

The exact area of the shaded region is: (2 - √6)/8 cm².

The area of a triangle = 1/2(base)(height).

The area of the shaded region = area of triangle ABD - area of triangle ACD.

Area of triangle ABD:

Base of triangle ABD = AD = √2/2

Height of triangle ABD = BD = √2/2

Area of triangle ABD = 1/2(√2/2)(√2/2)

Area of triangle ABD = 2/8 = 1/4 cm²

Area of triangle ACD:

Base of triangle ACD = AD = √2/2

Height of triangle ACD = CD = √3/2

Area of triangle ACD = 1/2(√2/2)(√3/2)

Area of triangle ACD = √6/8 cm²

Area of the shaded region = 1/4 - √6/8

Area of the shaded region = (2 - √6)/8 cm²

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Divide both sides by 4. Since 4 is >0, the direction of inequality remains the same.

[tex]\boldsymbol{\sf{p-9 < \dfrac{-12}{4} }}[/tex]

Divide −12 by 4 to get −3.

Add 9 to both sides.

Add −3 and 9 to get 6.

x-intercepts; plug in 0 for y and then solve

0 = x^2 - 1

1 = x^2; x = -1 & x = 1

vertex; (0,-1); the only translation was the point was moved down one unit

min/max; the graph does not have a max because it is a positive graph w/ positive infinity. The minimum would be (0,-1), the lowest point.

! For graphing I recommend using desmos.

To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb.

To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb. Males had pulse rates with a mean of 69.6 beats per minute and a standard deviation of 11.3 beats per minute, according to Data Set 1 "Body Data" in Appendix B.

A limit exists a specific value to which a function approaches. Estimating a limit usually means finding what value y exists as x approaches a certain number.

Therefore, the correct answer is option A. No, because it is below the lower limit separating value.

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The area of the large square = 9/4 square inches

There is a total of 25 small equally sized squares inside the large square.

The shaded portion given contains 4 such small equally-sized squares. This shaded portion has an area of 9/25 square inches.

We will first find the area of one small sized square and then will use it to find the area of the large square as the large square is made of 25 such small squares.

That is, area of 4 small squares = 9/25

So area of one small square = Area of 4 small squares/ 4

                                               = (9/25)/4

                                               = 9/(25 x 4)

                                               = 9/100 square inches

Now to find the area of the large square, multiply the area of one small square with the total number of small squares contained in the large square.

That is, Area of the large square = (9/100) x 25

                                                      = 9/4 square inches

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[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"m" proportional to }r^2}{ {\Large \begin{array}{llll} m=kr^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} r=2\\ m=14 \end{cases}\implies 14=k(2)^2 \\\\\\ \cfrac{14}{2^2}=k\implies \cfrac{7}{2}=k\hspace{15em}\boxed{m=\cfrac{7}{2}r^2} \\\\\\ \textit{when r=12, what is "m"?}\qquad m=\cfrac{7}{2}(12)^2\implies m=504[/tex]

When camera has an angle of depression of 50° to a point on the floor and the other camera has an angle of depression of 60° to the same point calculate the height of the gym, the height of gym is 7.05 m

When the observer is above the object they are looking at, an angle of depression is created. An angle below the horizontal line drawn with the level of the observer's eye and the line connecting the object with the observer's eye is created when an observer looks at an object that is placed at a distance lower than the observer.

Lets name the points on the triangles as A, B ,C

m∠ABC = 180° - 60° + 50°

             = 70°

Now, the sine theorem defines

[tex]\frac{AB}{sin50\textdegree}[/tex] = [tex]\frac{AC}{sin70\textdegree}[/tex] = [tex]\frac{10}{sin70\textdegree}[/tex]

AB = 8.15 meters

Now using the area of triangle formula

area∠ABC = 1/2 × AB × AC × sin∠BAC = 1/2 × h × AC

⇒ 1/2 × 8.15 × 10 × √3/2 = 1/2 × h × 10

⇒ 8.15 × √3/2 = h

⇒ h = 7.05

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Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{18.2}\\ a=\stackrel{adjacent}{6.7}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{18.2^2 - 6.7^2}=b\implies \sqrt{286.35}=b\implies 16.92\approx b[/tex]

Answer:32000 - 25000 =7000 increase percentage = increase amount

Step-by-step explanation:

Answer:

50.40 cm2

Step-by-step explanation:

Area of the polygon AFGBH = Area of ∆ACF + Area of rectangle FCEG + Area of ∆GEB + Area of ∆ABH

= 3.6 cm2 + 4.32 cm2 + 21.6 cm2 + 6.48 cm2 + 14.4 cm2

= 50.40 cm2

Hence, the required area = 50.40 cm2.

The three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

In the question ,

it is given that

Ari walked a distance of 22 miles with speed of 2 miles per hour .

Beth walked a distance of 1 mile with the speed of 1 mile per hour.

Cindy walked for the time 1 hour and 21 minutes .

converting 21 minutes to hours , we get

= 1 hr 21 min

= 1+21/60

= 27/20

= 1.35 hours     ....(i)

time required for Ari to walk 22 miles with speed of 2 miles per hour is

time = distance/speed

time = 22/2 = 11 hours         ...(ii)

time required for Beth to walk 1 miles with speed of 1 miles per hour is

time = 1/1 = 1 hours        ....(iii)

From equation (i) , (ii) and (iii) ,

the order of the time they spent walking from least to greatest time is

1 hours < 1.35 hours < 11 hours

Therefore , the three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

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Answer: 3/4 im pretty sure

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

When Violetta goes first, their are 4/24 possibilities. Same for Nathan.

The rest are just both 2/24 possibilities. Therefore, the answer is 1/2.

Answer: D

Step-by-step explanation:

Answer:

24.03

Step-by-step explanation:

We know  that the formula is pie squared times radius but the radius is half of the diameter but you can also do pie times diameter and get the same answer.

The complete details on the table are

Shape:   Length  Height  Area of 1   Number   Total area

Square       12          12          144            1                144

Triangle      12          15          90             4              360

The surface area is 504 square inches

The square prism represents the given parameter

On the figure, we have the following highlights:

Shape: Square

Also, we have

Shape: Triangle

This means that

Area of 1 square = Base length * Height

Area of 1 square = 12 inches * 12 inches

Area of 1 square = 144 square inches

So, the area of all squares in the figure is

Area of all squares = 1 * 144 square inches

Area of all squares = 144 square inches

Also, we have

Area of 1 triangle = 0.5 * Base length * Height

Area of 1 triangle = 0.5 * 12 inches * 15 inches

Area of 1 triangle = 90 square inches

So, the area of all triangles in the figure is

Area of all triangles = 4 * 90 square inches

Area of all triangles = 360 square inches

The surface area of the figure is

Surface area = Area of all triangles + Area of all squares

This gives

Surface area = 360 square inches + 144 square inches

Evaluate

Surface area = 504 square inches

Hence, the surface area of the prism is  504 square inches

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Answer:

[tex] ( - 6) {}^{4} [/tex]

Step-by-step explanation:

-6 is being multiplied repeatedly 4 times so

[tex]( - 6) {}^{4} [/tex]

Answer: the answer is 9/2