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sashaice [31]
2 years ago
6

Which transformations were used to create triangle A’B’C’?

Mathematics
1 answer:
zhenek [66]2 years ago
5 0

hi

dilation by a scale factor of 2 and a reflection across the y-axis dilation by a scale factor of 2 and a rotation of 90 clockwise about the origin dilation by a scale factor of 1/2 and a reflection across the y-axis dilation by a scale factor of 1/2 and a rotation 90 counter-clockwise about the origin of.

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Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [
Darya [45]

Answer:

<em>A=3 and B=6</em>

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9

Computing the first derivative:

f' ( x ) = - 6 x^3 + 54 x - 108

We find the critical points equating f'(x) to zero

- 6 x^3 + 54 x - 108=0

Simplifying by -6

x^2 -9 x +18=0

We get the critical points

x=3,\ x=6

They define the following intervals

(-\infty,3),\ (3,6),\ (6,+\infty)

Thus A=3 and B=6

3 0
3 years ago
The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same
san4es73 [151]

Answer:

Step-by-step explanation:

Z=\frac{x-mu}{\sigma }

X - Heights of women aged 20 to 29: X is N(64, 2.7)

Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)

a) X=6'=72"

Z=\frac{72-64}{2.7} =2.963

b) Y = 72"

z=\frac{72-69.3}{2.8} =0.965

c) 72' women can be taken as very tall but men moderately taller than average

d) Y<5'5" =65"

Z<\frac{65-69.3}{2.8} =-1.536

e) X>73"

Z>\frac{73-64}{2.7} =3.33

Almost 0% can be taken

f) IQR =Q3-Q1

Z scores =

5 0
3 years ago
12.2​z ​+ 19.4 = -2.7​z​ + 93.9
Digiron [165]

Answer:

z=5

Step-by-step explanation:

12.2z​+ 19.4 = -2.7​z​ + 93.9

14.9z=74.5

z=5

3 0
3 years ago
Read 2 more answers
Combining like terms with negative coefficients
almond37 [142]
-3z - z = -3z - 1z = -4z
6 0
2 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
chubhunter [2.5K]

Answer:

d is the correct answer

Step-by-step explanation:

6 0
3 years ago
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