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Masja [62]
3 years ago
15

If you vertically compress the absolute value parent function, F(x) = |x|, by

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

The current function equation is  Y=1/3|x|

---------------------------

The meaning relative f(x) = is the absolute value and is weighted by a factor 3 vertically.

If a constant (say a) multiplies the function, the parent will be extended vertically.

We have below vertical extension and compression conditions.

A > 1 = > spread vertically

0 < < 1 = > compression vertically

Therefore we will subtract the entire feature by 1/3 for vertical compression by a factor of 3.

The equation for the current function is then Y=1/3|x|

---------------------------

<em>Hope this helps!</em>

<em />

<u>Brainliest would be great!</u>

<u />

---------------------------

<u><em>With all care,</em></u>

<u><em>07x12!</em></u>

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H Quarshie
Yuki888 [10]

Answer:

28

Step-by-step explanation:

f(6) = -3 * 6 + 10 = -18 + 10 = -8

g(f(6)) = g(-8)

g(-8) = (-8)^{2} + 3 * (-8) - 12 = 64 - 24 - 12 = 64 - 36 = 28

6 0
3 years ago
Find the lateral surface area of a
balandron [24]

Answer:

15.1 mm²

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

(where r is the radius and h is the height)

Given:

  • r = 1.2 mm
  • h = 2 mm

Substitute given values into the formula:

⇒ Lateral surface area = 2π(1.2)(2)

                                      = 4.8π

                                      = 15.1 mm²  (nearest tenth)

5 0
2 years ago
**PLEASE HELP**
zepelin [54]
----------------------------------------------------------
Given information
----------------------------------------------------------
Area = 3x² + 14x + 8 
Length = x + 4

----------------------------------------------------------
Formula
----------------------------------------------------------
Area = Length x Width

----------------------------------------------------------
Find Width
----------------------------------------------------------
3x² + 14x + 8  = (x + 4) x width
width = (3x² + 14x + 8) ÷ (x + 4)
width =  (x+4)(3x+2) ÷ (x + 4)
width = 3x + 2

----------------------------------------------------------
Answer: The width is 3x + 2 (Answer C)
----------------------------------------------------------
5 0
3 years ago
Solve 6n - 2 - 3n = 16
Black_prince [1.1K]

9514 1404 393

Answer:

  n = 6

Step-by-step explanation:

Add 2 and collect terms

  3n = 18

Divide by 3

  n = 6

8 0
3 years ago
Read 2 more answers
The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?
Alexxx [7]

Answer:

67

Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,

\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$

Also,

\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.

There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.

This is the aops answer :)

8 0
2 years ago
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