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Answer:

1.  y = 5|x|   ⇒vertical stretch

2. y = ⅓|x|  ⇒vertical compression

3. y = 3|x|   ⇒vertical stretch

Step-by-step explanation:

Given the parent absolute value function, f(x) = |x|:

The transformed function, y = a|x|, where |a| > 1, represents the vertical stretch of the parent graph by a factor of a.  

Therefore, the absolute value equation, y = 5|x|, represents a vertical stretch of the parent function by a factor of 5. The graph of y = 5|x| is narrower than the parent function, f(x) = |x|.  

The transformed function, y = a|x|, where 0< |a| < 1, represents the vertical compression of the parent graph by a factor of a.  

Therefore, the absolute value equation, y = ⅓|x|, represents a vertical stretch of the parent function by a factor of ⅓. The graph of y = ⅓|x| is wider than the parent function, f(x) = |x|.  

Similar to question 1, the absolute value equation, y = 3|x|, represents a vertical stretch of the parent function by a factor of 3. The graph of y = 3|x| is narrower than the parent function, f(x) = |x|.  

Attached are the graphs of the given absolute value functions, where it shows the transformations to the parent function, f(x) = |x|.  

Answer:

$0.90

Step-by-step explanation:

7.20/8 = $0.90

Answer:

Step-by-step explanation:

Answer: In the context of borrowing, principal is the initial size of a loan or a bond (the amount the bond issuer must repay). In the context of investing, principal is the original sum committed to the purchase of assets—independent of any earnings or interest.

Answer:

x>8

Step-by-step explanation:

[tex]- 6x+ 30 < - 18 \\ - 6x < - 18 - 30 \\ - 6x < - 48 \\ \frac{ - 6x}{ - 6} < \frac{ - 48}{ - 6} \\ x > 8[/tex]

Answer:

5

Step-by-step explanation:

Answer: b = 89

Step-by-step explanation:

1. Use Supplementary Angles

180 - (b + 33)

180 - b - 33

147 - b

2. The Angles in a Triangle add up to 180.

147 - b + b - 7 + b - 49 = 180

91 + b = 180

b = 89

Hope it helps :) and let me know if you want me to elaborate.

The midpoint of the line segment is the average of the respective coordinates.

So the x-value of the midpoint if the average of the two individual x-coordinates.

    (-3.5 + 4)/2 = 0.5/2 = 0.25

And the y-value of the midpoint if the average of the two individual y-coordinates.

    (2 + (-2.5))/2 = -0.5/2 = -0.25

So, the midpoint is (0.25, -0.25) or (1/4, -1/4) or "C".

Answer:

27 minutes

Step-by-step explanation:

3 + 2 = 5

45 / 5 = 9

3 * 9 : 2 * 9

27 : 18

Answer:

lowest common multiple of 4 and 4 is 4

To verify those for alpha and beta, simply substitute the known values:

sin 30° = cos 60° = 1/2

sin 60° = cos 30° = √3/2

cos 90° = sin 0° = 0

sin -30° = -1/2

sin 120° = √3/2

a.

cos 90° = cos 30° cos 60° - sin 30° sin 60°

0 = √3/2 * 1/2 - 1/2 * √3 / 2 = √3/4 - √3/4 = 0

verified

b.

sin -30° = sin 30° cos 60° - cos 30° sin 60°

-1/2 = 1/2 * 1/2 - √3/2 * √3/2 = 1/4 - 3/4 = -2/4 = -1/2

verified

c.

sin 120° = 2 sin 60° cos 60°

√3/2 = 2 * √3/2 * 1/2 = √3/2

verified

Answer:

3 trips

Step-by-step explanation:

I think it is three trips because 3 out of the 5 train tracks from city x were found in city y, therefore only 3 train tracks will be found in city z so there are 3 trips

[tex] \text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases} [/tex]

[tex] \text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\ [/tex]

[tex] \green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}[/tex]

Answer:

Step-by-step explanation:

x = 180 - 117 = 63°

y = 360 - 63 - 86 - 98 = 113°

Sum of angles along a line about a point on the line is 180°

Sum of internal angles on a quadrilateral is 360°

Answer:

c) 1:3

Step-by-step explanation:

Since 16 watermelons cost $48, the cost of 1 watermelon is 48 / 16 = $3.

Hence 1 : 3

Answer and explanation in the image.

Answer: 6

Step-by-step explanation:

18/2=6=12/2

Answer:

6

Step-by-step explanation:

She could put 3 carrots on each plate: 18/3=6. And 2 baby potatoes on each plate: 12/2=6. So, she can make a maximum of 6 plates of veggies. Hope this helps. :D

Answer:

1+2+3- -9+236359

Step-by-step explanation:

Answer:

y=-4x-7

Step-by-step explanation:

if you use the slope formula, y2-y1 over x2-x1 using any two points from the grid, you get a slope of -4.

if you use the slope intercept form, y=mx+b, and plug in y, m the slope, and x, you get -3=-4(-1)+b

if you solve that, you get -3=4+b

and if you isolate 4 by subtracing 4 from both sides, b=-7.

then you plug slope and y intercept into formula, and get y=-4x+b

Answer:

Step-by-step explanation:

(-2-i)(4+I)

= (-8-2i-4i-l)

thats it basically since there are two unknowns so it cant be simplified further

According to her study, we have that:

At the null hypothesis, it is tested if the CBC's students proportion is the same as all community college students, that is, of 32%, hence:

[tex]H_0: p = 0.32[/tex]

At the alternative hypothesis, it is tested if the proportion for CBC's students is greater than 32%, that is:

[tex]H_1: p > 0.32[/tex]

A similar problem is given at https://brainly.com/question/25679468

The lengths of the other two sides are 6 inches and 5 inches

Let b represent the base of the right triangle, h represent the height of the right triangle and x represent the hypotenuse.

Since the area of the triangle is 15 in², hence:

Area(A) = (1/2) * base * height

15 = (1/2)bh

bh = 30  

b = 30/h         (1)

Applying Pythagoras theorem also:

x² = b² + h²

(√61)² = b² + h²

61 = (30/h)² + h²

61 = 900/h² + h²

61h² = 900 + h⁴

h⁴ - 61h² + 900 = 0

h = -6, -5, 5, 6

Since the length cant be negative, hence h = 5 or h = 6

When h = 5; b = 30/5 = 6

When h = 6; b = 30/6 = 5

Therefore the lengths of the other two sides are 6 inches and 5 inches

Find out more at: https://brainly.com/question/2773823

Answer:

About 11.025

Step-by-step explanation:

[tex]\sin{58^\circ}=\dfrac{x}{13}\\\\x=13\cdot\sin{58^\circ} \approx11.025[/tex]

Answer:

834 seconds or 13 minutes and 54 seconds

Step-by-step explanation:

139 x 6 = 834

Answer:

21 min

Step-by-step explanation:

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

2 1/4 + 2/5 / (-1/2)-1/4

order of operation states you do division before subtraction or addition

2 1/4 -4/5 -1/4....divide 2/5 by -1/2

2 - 4/5.................combine like terms

6/5........................subtract

1 1/5.......................simplify

Answer:

He can grow 9 herbs.

Step-by-step explanation:

3rows x 3plant herbs per row = 9 herbs to grow

Hope this helps :)

Answer: 65

Step-by-step explanation: divided the 2

Answer:

Length(L) is 55

Width(W) is 20

Step-by-step explanation: