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Orlov [11]
3 years ago
6

Given the parent function

Mathematics
2 answers:
rosijanka [135]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Function transformations are easy to do when you remember four rules:

  • adding or subtracting in the function moves it left and right
  • adding or subtracting outside the function moves it up or down
  • multiplying and dividing to the function stretches or compresses it

Here the 2 is being multiplied to the function which vertically stretches the function.

The negative sign flips it over the x-axis.

yanalaym [24]3 years ago
3 0

Answer:

Option a is right.

Step-by-step explanation:

Parent funciton is

f(x) = x^3

The new graph is

f(x) = -2x^3

Since there is no change for x, there is no horizontal shift.

BUt since sign is changed there is a reflection on the line y=0 i.e. x axis.

Also new y is -2x^3 , -2 indicates the vertical shrink by scale factor 1/2

Option a is right

i.e. there is a reflection on x axis also there is a compression of scale factor 2 vertically.

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Find the surface area of the solid. Round to two decimal places
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Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{34^2-22^2}=b\implies \sqrt{672}=b

so then the surface area of the triangular prism is,

\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672})  \right]}
\\\\\\
8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978

5 0
3 years ago
Help me please I need help on this
Assoli18 [71]

Answer:

1 lb

Step-by-step explanation:

Picked up 3/5 and 4/5.

Used 3/8.

Amount now:

3/5 + 4/5 - 3/8 =

= 7/5 - 3/8

= 56/40 - 15/40

= 41/40

Answer: 1 lb

4 0
3 years ago
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Yolanda makes $11.25 per hour at her part-time job. During one week, she worked 12 2/5 hours and also earned some tips. Her fina
Delicious77 [7]

Answer:

She earned $20 in tips.

Step-by-step explanation:

First, you need to work out how much pay she'd get for 12 hours work:

12 x $11.25 = $135 for 12 hours work

Then, find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:

2/5 of $11.25 = $4.50

Add both these sums together to get her total pay for hours worked:

$135 + $4.50 = $139.50

Subtract that sum from her total pay to find out how much money she earned in tips:

$159.50 - $139.50 = <u>$20</u>

7 0
3 years ago
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Which statement is an axiom of Euclidean geometry? If two lines intersect, their intersection is a plane. If two planes intersec
Dominik [7]
If 2 points lie in a plane, the line containing those opints lies in the same plane
8 0
3 years ago
Read 2 more answers
12a - 6 + 7a - 2a ; a = 4<br> Need help please
Novosadov [1.4K]

Answer:

62

Step-by-step explanation:

Plug in the value of a in the equation:

12(4) - 6 + 7(4) - 2(4)

Solve 12(4) - 6:

12(4) - 6 = 48 - 6 = 42

Solve 7(4) - 2(4):

7(4) - 2(4) = 28 - 8 = 20

Combine both answers (42+20):

42+20 = 62

Complete answer:

12(4) - 6 + 7(4) - 2(4) = 62

3 0
3 years ago
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