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chubhunter [2.5K]
3 years ago
5

For the function f(x) = 2x+2, what is the new function and reflection for-f(x)?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:

Step-by-step explanation:

for inverse of f(x)=2x+2

x=2y+2

x-2=2y

(x-2)/2=y

therefore the inverse f(x)=(x-2)/2

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*100 POINTS*
Mice21 [21]

Answer:

y= -2/1x -4

Step-by-step explanation:

Hope it helped!

5 0
3 years ago
Read 2 more answers
A ball is dropped from a height of 600 feet. The function describing the height of the ball at t seconds after it dropped is <im
bekas [8.4K]

The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

<h3>What is instantaneous and average velocities?</h3>

Instantaneous velocity  is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16t^{2} + 600

a) Height at t = 0 = 600 feet

    Height at t = 3 seconds = f(3) = -16(3)^{2} + 600 = 456 feet

Distance travelled  = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken  = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = \frac{df(t)}{dt} = \frac{d(-16t^{2} + 600) }{dt} = -32t

  when instantaneous velocity equal average velocity

     -32t = -48

      t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

Learn more about instantaneous and Average velocity: brainly.com/question/13372043

#SPJ1

7 0
2 years ago
On Wednesday,Felipe drove 150 miles. This was 3 times the he distance he drove on Monday and 40 miles more than they drove on Tu
insens350 [35]
36 take 150-40 then you would want to decide 3 from 110
8 0
3 years ago
Question 6
Firdavs [7]
So hmmmmm, notice... the boat went up in 3hrs, came back to the starting point in 2hrs, it went up 108km, it came back, well, from 108km to distance 0, so the distance on the way back is just the same 108km

now... let's say the stream has a speed rate of "r", and the boat has a still water speed rate of "b"

bear in mind that, when the boat is going UP, is not really going "b" fast, because the stream's "r" rate is going against it, and thus subtracting "r" from "b", so is really going " b - r " fast

when the boat is going down, is not going "b" fast either, because, again the stream's rate "r" is adding to it, because is going with the current, so is really going " b + r " fast

now, recall your d =rt, distance = rate * time

\bf \begin{array}{lccclll}&#10;&distance&rate&time\\&#10;&-----&-----&-----\\&#10;upstream&108&b-r&3\\&#10;downstream&108&b+r&2&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;108=3(b-r)\implies \frac{108}{3}=b-r\\&#10;\qquad 36=b-r\implies 36+r=\boxed{b}\\\\&#10;108=2(b+r)\implies 54=b+r\\&#10;\qquad 54=\boxed{36+r}+r&#10;\end{cases}

solve for "r"

what's b?  well, 36+ r = b
7 0
3 years ago
The base of a triangle is 4cm longer than the altitude and it’s area is 16cm^2. Find the length of the base and the altitude [Pl
Rina8888 [55]

Answer:

The base = 8 cm and the altitude = 4 cm.

Step-by-step explanation:

b = a + 4  where b = base and a = the altitude.

Area = 1/2 * a * b = 16

Area = 1/2 * a * (a + 4) = 16

1/2 a^2 + 2a = 16

a^2 + 4a - 32 = 0

(a + 8)(a - 4) = 0

a = 4 .

b = 4+4 = 8.

8 0
3 years ago
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