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mart [117]
3 years ago
12

The function ƒ(x) = 2x is vertically translated 5 units down and then reflected across the y-axis. What's the new function of g(

x)?
Mathematics
1 answer:
TEA [102]3 years ago
7 0

Answer:

g(x) = -2x - 5

2x becomes -2x as a reflection across the y-axis

add on -5 to shift the function 5 units down

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3 years ago
During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet
Leno4ka [110]

Answer:

25t+19\leq 144

t\leq5

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = 19+25t

Now, as per question, the total depth should not be more than 144 feet. So,

\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144

Solving the above inequality for time 't', we get:

25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0
3 years ago
The ratio of the lengths of and is 2 : 1.
borishaifa [10]
The answer is 2 hopefully this helped
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What is 5/10 - 3/20 equal Too?
goldenfox [79]
5/10-30/20 equals 7/ 20
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A triangle has side lengths 4 inches 5 inches and 7 inches. is the triangle a right triangle
garri49 [273]
Hey there!

Yes this triangle is a right triangle. Leg lengths 4 and 5 in. would be the legs and the 7 inch would be the hypotenuse.

Hope this helped!
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