Graph the function g(x)=−[tex]\frac{1}{3}[/tex](x+2)(x+8)

Parent function is general modulus function

Now

x is increased by +3 so change in x axis and vertex.

The vertex shifted 3 units leftwards .

Means compression factor is 2

Both graphs attached

Answer:

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

Parent function:  [tex]f(x) = |x|[/tex]

Translated 3 units left:  [tex]f(x+3)=|x+3|[/tex]

Stretched parallel to the y-axis by a factor of 2:  [tex]2f(x+3)=2|x+3|[/tex]

Therefore, the function has been:

Attachments

Green graph - parent function   [tex]f(x) = |x|[/tex]

Red graph - Translated 3 units left   [tex]f(x)=|x+3|[/tex]

Blue graph - Stretched   [tex]f(x)=2|x+3|[/tex]

Answer:

it has to be 7 days because the other degrees are higher than 84.

Step-by-step explanation:

80 - 82 = 7 days

Answer: Horizontal means going through something like mainly through the middle, and verticle are the posts going up and down through the fence. All you have to do is combine them in figure 2 and slot them down in the boxes. Hope this helps <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average rate of change within an interval is the slope of the endpoints.

The endpoints are:

The slope is

Correct choice is C

Answer: -3

--

To find the Average rate of change within an interval use the slope of the endpoints.

(- 1, 6) and (0, 3)

The slope is

[tex]\frac{3-6}{0-(-1)}=\frac{-3}{1}=-3[/tex]

Hope this helps!

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 10¹⁵/10⁴ equals 10¹¹.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 10¹⁵/10⁴ can be simplified as,

[tex]\dfrac{10^{15}}{10^4}\\\\= 10^{15} \cdot 10^{-4}\\\\= 10^{15-4}\\\\=10^{11}[/tex]

Hence, the value of the expression 10¹⁵/10⁴ equals 10¹¹.

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Answer

18 hours

Step-by-step explanation:

if 10 people spend 15 hours

one person spend 15/10=1.5

so 1.5 × 12=18hours

Answer:

isosceles triangle

From the table we can conclude that after 2 minutes the height of the water is increased by 4.

Example: In minute 2 it was 8 inches, in minute 4 it was 12 inches. (12-8=4)

This means that if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased 4/2=2 inches.

The following statement best describes how the slope relates to the height of the water in the pool:

The height of the water increases 2 inches per minute.

Answer:

Step-by-step explanation:

To simplify this, let us convert both into 13th.

Now the question is:

Subtract 58/13 from 143/13

143/13 subtract 58/13 is 85/13

As a mixed number, 85/13 is 6 7/13

Here is the solution message if you need more help

Hope this helps. :)

Answer:

100

Step-by-step explanation:

-100 is always going to be 100 units away from 0 no mater what

Answer: Skelatal and respiratory because bones show up all over the human body.

Step-by-step explanation:

Answer:

C. Nervous system / Circulatory system

The probability of drawing a number card and then number card without replacement is 105/221 option first is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The total number of cards = 52

Total number of cards printed number on it = 36

The probability of drawing a number card and then number card without replacement:

[tex]= \rm \dfrac{36}{52}\times \dfrac{35}{51}[/tex]

= 1260/2652

= 105/221

Thus, the probability of drawing a number card and then number card without replacement is 105/221 option first is correct.

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If the distance between the origin and the points on the path of rotation is equal, the origin will be the center of rotation for any system.

Center of rotation is the point about which the rotation takes place. this point is equidistant from all points in the path of rotation.

We are asked to verify that the center of rotation is the origin.

In this case, the center of rotation will be equidistant from all the points in the locus of rotation. So, the distance between the origin and any point on the path of rotation will be equal.

Thus, if the distance between the origin and the points on the path of rotation is equal, origin will be the center of rotation for any system.

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Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Because there are no red marbles on the bag, we will see that the probability is zero.

We want to find the probability that the marble will be red. Viktoria knows that her bag has no red marbles, then it is impossible to get a red marble.

The probability of an impossible event is 0 (suppose that there are 10 marbles in the bag, we have a probability of 0 out of 10 of getting a red marble).

Then we can write the probability as P = 0.

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Answer: 0 enjoy

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

  = (x + 5)(x - 5) ← expand factors using FOIL

  = x² - 5x + 5x - 25

 = x² - 25 ≠ x² - x - 15

[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Volume of a rectangular prism is ~

[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]

So, the correct choice is B

Answer:

m∠K = 36°

m∠L = 54°

m∠M = 90°

Step-by-step explanation:

         A triangle's angles add up to 180 degrees. We will add together all the angles and set them equal to 180. Then, we will solve for x. Lastly, we will solve for the angle measurements.

-> The little "box" in angle M means that it is equal to 90°

90° + (2x + 42)° + (4x + 12)° = 180°

90° + 42° + 12° + 2x° + 4x°= 180°

144° + 6x°= 180°

6x° = 36°

x = 6°

[m∠K]

4x + 12

4(6) + 12

36°

[m∠L]

2x + 42

2(6) + 42

54°

Answer:

--------------- HappY LearninG <3 ---------

answer : 13

steps:

its asking

subtract 8 from 60 which is 56

subtract 10 from 75 which is 65

then its asking

find the largest number that can divide 56 and 65

that number is

13

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The best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.

The best peer evaluation is a critical review that critiques and provides feedback to other students on their academic work.

The purpose of a peer evaluation is to develop students' lifelong skills in assessing and providing feedback to others.

Peer evaluation also equips students with self-assessment skills to improve their own work.

Thus, the best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.

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Answer:

1.89 inch²

Explanation:

[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]

Here given:

Find the Area:

[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]

The points (2, -2) and (0, -1) lies on the inverse of the function y = (-x -2)/2 if the function is y = -2x - 2 option (C) and (E) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

In the graph, a linear equation is represented.

We can find the function of linear equation from the two points:

(-1, 0) and (0, -2)

x/-1  + y/-2  = 1

2x  + y  = -2

y = -2x - 2 ..(1)

From the equation, first take subject as x and find the value of x

2x = -y -2

x = (-y -2)/2

Replacing x→y and y →x

y = (-x -2)/2

The inverse of a function:

y = (-x -2)/2

Points (2, -2) and  (0, -1) lies on the inverse of the function(refer to attached picture)

Thus, the points (2, -2) and (0, -1) lies on the inverse of the function y = (-x -2)/2 if the function is y = -2x - 2 option (C) and (E) are correct.

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Answer:

  (a)  452 m²

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

  A = 2πrh . . . . radius r, height h

__

The given tube has an outside (or inside) area of ...

  A = 2(3.14)(5 m)(14.4 m) = (3.14)(144 m²) ≈ 452 m²

Each curved surface of the tube has an area of about 452 m².

Answer:A=hbb

2

Step-by-step explanation:

If the sides of a triangle are given along with an included angle, the area of the triangle can be calculated with the formula, Area = (ab × sin C)/2, where 'a' and 'b' are the two given sides and C is the included angle. This is also known as the "side angle side " method.

The probability that the flight would leave on time when it is not raining is: 0.522

Probability is the likelihood of an event happening or not.

Analysis:

pr( it will rain) = 0.18

Pr( it will not rain) = 1 - 0.18 = 0.82

Pr ( flight will be delayed) = 0.14

Pr( it will not be delayed) = 1 - 0.14 = 0.86

Pr( it will not rain and flight would leave early) = 0.74

Pr( flight leave early when not raining) = pr( it willnot rain) x Pr( it will not be delayed) x Pr( it will not rain and flight leave on time) 0.82 x 0.86 x 0.74 = 0.522

In conclusion, the probability that flight would leave on time when it is not raining is 0.522

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