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Alex Ar [27]
3 years ago
7

If you vertically compress the absolute value parent function, f(x) = |x|, by a factor of 3, what is the equation of the new fun

ction?
A. g(x) = |x – 3|
B. g(x) = |3x|
C. g(x) = 1/3 |x|
D. g(x) = 3|x|
Mathematics
1 answer:
Anna007 [38]3 years ago
3 0

That is correct. On APEX its C. g(x)= 1/3 |x|

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Two thirds of a number is 46. Find the number
zheka24 [161]
2/3x = 46
2x = 46x3
2x= 138
x=138/2
x= 69

8 0
3 years ago
Please Fill in the Blank with the simplified equation. 5/8g=40
FinnZ [79.3K]

Multiply both sides by 8

5/8g × 8 = 40× 8

5g = 320

Divide both sides by 5

5g/5 = 320/5

G = 64

4 0
3 years ago
Sold the equation. Round to the nearest hundredth. <br><br>17 · <img src="https://tex.z-dn.net/?f=1.8%5E%7B-x%2B7%7D%20%3D%205"
svetlana [45]

Answer:

Final answer is approx x=4.26.

Step-by-step explanation:

Given equation is 1.8^{-x+7} = 5

Now we need to solve equation 1.8^{-x+7} = 5 and round to the nearest hundredth.

1.8^{-x+7} = 5

\log(1.8^{-x+7}) = \log(5)

(-x+7)\log(1.8) = \log(5)

(-x+7) = \frac{\log(5)}{\log(1.8)}

(-x+7) = \frac{0.698970004336}{0.255272505103}

-x+7 = 2.73813274192

-x = 2.73813274192-7

-x =−4.26186725808

x =4.26186725808

Round to the nearest hundredth.

Hence final answer is approx x=4.26.

4 0
3 years ago
Find equation of a line through (1,4) and (1,6)
Elena L [17]
Notice the picture below

no matter what value "y" may have, "x" will always be 1

4 0
3 years ago
A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing
leva [86]

Answer:

  232°

Step-by-step explanation:

There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.

  30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))

  = (0, -30) +(-43.301, -25) = (-43.301, -55)

Then the angle from port is ...

  arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle

The bearing of the ship from port is about 232°.

_____

<em>Comment on the problem statement</em>

The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.

5 0
3 years ago
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