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Sever21 [200]
3 years ago
10

01.02)V 196ind the answer to V48 and select the correct answerational or irrational?8 21, irrationalsv 3, irrational

Mathematics
1 answer:
scoray [572]3 years ago
6 0
Simplifying √196 before doing the multiplication:
( √196 ÷ 7 ) × √48
= ( (√4 × √49) ÷ 7 ) × √48
= ( (2 × 7) ÷ 7 ) × √48
= 2√48
Simplifying √48:
= 2 × √16 × √3
= 2 × 4 × √3
= 8√3
which is irrational because it's a square root

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f(x)=x^2; vertical shrink by a factor of 1/2 and a reflection in the y-axis, followed by a translation 1 unit down​
NeX [460]

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically

shrunk by multiplying each of its y-coordinates by k

2. The reflection

If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

3. Vertical translation

If the function f(x) translated vertically up  by m units, then its image

is g(x) = f(x) + m

If the function f(x) translated vertically down  by m units, then its image

is g(x) = f(x) - m

Now let us solve the problem

∵ f(x) = x²

∵ f(x) shrunk by a factor of \frac{1}{2}

∴ The image of f(x) = \frac{1}{2} x²

∵ The image of f(x) reflected across y-axis

∴ The sign of x will change

∴ The new image of f(x) = \frac{1}{2} (-x)²

∵ The new image of f(x) translated 1 unit down

∴ We will subtract the new image of f(x) by 1

∴ The last image of f(x) is g(x) = \frac{1}{2} (-x)² - 1

<em>V.I.Note:</em>

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

4 0
3 years ago
If the height is 24, solve for x. h=-16x^2+8x+48
disa [49]

Answer:

x=  

32

7+  

3121

​  

 

​  

,  

32

7−  

3121

​  

 

​  

 

Step-by-step explanation:

h+16^2-8x-48=0

-7x+16x^2-48=0

x=  

32

7+  

3121

​  

 

​  

,  

32

7−  

3121

​  

 

​  

 

8 0
3 years ago
29 mm<br> 20 mm<br> What is the perimeter?
ivolga24 [154]
The correct answer is 70mm
3 0
3 years ago
Read 2 more answers
Find the measure of the angle. <br> I need to show my work, please, thank you!!!
Rina8888 [55]

Answer:

148

Step-by-step explanation

A you may have studies,

x+125+23=180

x+148=180

x=132

Angle S = 132

but to find ? you have to add U and T

so it's y=125+23=148

6 0
3 years ago
what are the coordinates of the image of the point (–3, 6) after a dilation with a center of (0, 0) and scale factor of 1/3 a. (
dybincka [34]
It's gotta be C.) I'm pretty sure
3 0
3 years ago
Read 2 more answers
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