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masha68 [24]
2 years ago
11

F(x)=23x−1 and g(x)=−4x+6.

Mathematics
1 answer:
USPshnik [31]2 years ago
3 0

The transformation occurs from function g is a vertical translation 6 units down.

<h3>What is Transformation?</h3>

A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.

Given:

g(x) = 4x + 6

g(x) = 0

4x + 6=0

x= -6/4

Now,

f(-6/4) = 2 - 1

=-1

By seeing g(x), we can say that  function g is a vertical translation 6 units down.

Learn more about transformation here:

https://brainly.in/question/29403318

#SPJ1

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A swimming pool can be filled by any of three hoses A, B or C. Hoses A and B together take 4 hours to fill the pool. Hoses A and
yanalaym [24]

Answer:

3 hours  28 minutes

Step-by-step explanation:

Let A = the RATE at which hose A can fill the pool alone

Let B = the RATE at which hose B can fill the pool alone

Let C = the RATE at which hose C can fill the pool alone

Hoses A and B working simultaneously can pump the pool full of water in 4 hours

From Question. The combined RATE of hoses A and B is 1/4 of the pool PER HOUR

In other words, A + B = ¼

Hoses B and C working simultaneously can pump the pool full of water in 6 hours

From Question. The combined RATE of hoses A and C is 1/4 of the pool PER HOUR

In other words, B + C = 1/6

Hoses A and C working simultaneously can pump the pool full of water in 5 hours

From Question. The combined RATE of hoses A and C is 1/5 of the pool PER HOUR

In other words, A + C = 1/5

At this point, we have the following system:

A + B = 1/4  ...1

B + C = 1/6  ...2

A + C = 1/5  ...3

Considering equation one

A  = 1/4 -B

A = (1 - 4B)/4 ....4

sub equation 4 into 2

(1 - 4B)/4 + C = 1/5

C = B - (1/20)

Considering equation  3

B + [B-(1/20)] = 1/6

B =7/80

Sub B Into enq 1 and 2

A =13/80

C = 3/80

A+B+C = 23/80

          3.47

=> 3 hours

0.47 × 60 = 28minutes

7 0
3 years ago
Read 2 more answers
For the curve y = ln(x 2 − 3), find the equation of the tangent line at (2, 0).
denis23 [38]
Y' = 2x/(x^2 -3)  y'(2) = 4
Using the point slope equation:
y-0 = 4(x-2)
y = 4x - 8
3 0
3 years ago
HELP PLEASE! ILL MARK BRAINLIEST!
Alex

Answer:

5 days

Step-by-step explanation:

425x0.07=29.75

320-29.75=290.25

290.25÷53.75=5.4

7 0
2 years ago
Read 2 more answers
Match the function with the graph.
astraxan [27]
Can I see the graph?
6 0
3 years ago
Read 2 more answers
Drake buys a ring that costs $8,000, which depreciates at a rate of 9.5% per year.
Alex73 [517]

Answer:

$1129.93

Step-by-step explanation:

100 - 9.5 = 90.5

8000 - 90.5 = 7909.5

7909.5 ÷ 7 = 1129.93

i hope this helps

4 0
2 years ago
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