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Leya [2.2K]
3 years ago
14

Que transformacion sufrio la grafica de la funcion madre de f (x) = 2x a la 2 -7​

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0

Answer:

could you ask in english

Step-by-step explanation:

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Helppppppppppppppppppppppppp
Reptile [31]

Answer:

-4/3

Step-by-step explanation:

the formula for slope of a line is Y2-Y1

X2-X1

taking any two points from the table ,

(-1-3)÷(2-(-1))

-4/3

3 0
3 years ago
Read 2 more answers
A teacher divides her class into groups and assigns each group the task of measuring the mass of the same object three times. Th
ZanzabumX [31]

Answer:

I think it would be group B due to the fact that they are the closest to 25 g

Step-by-step explanation:

6 0
3 years ago
This is a "water tank" calculus problem that I've been working on and I would really appreciate it if someone could look at my w
Sedaia [141]
Part A

Everything looks good but line 4. You need to put all of the "2h" in parenthesis so the teacher will know you are squaring all of 2h. As you have it right now, you are saying "only square the h, not the 2". Be careful as silly mistakes like this will often cost you points. 

============================================================

Part B

It looks like you have the right answer. Though you'll need to use parenthesis to ensure that all of "75t/(2pi)" is under the cube root. I'm assuming you made a typo or forgot to put the parenthesis. 

dh/dt = (25)/(2pi*h^2)
2pi*h^2*dh = 25*dt
int[ 2pi*h^2*dh ] = int[ 25*dt ] ... applying integral to both sides
(2/3)pi*h^3 = 25t + C
2pi*h^3 = 3(25t + C)
h^3 = (3(25t + C))/(2pi)
h^3 = (75t + 3C)/(2pi)
h^3 = (75t + C)/(2pi)
h = [ (75t + C)/(2pi) ]^(1/3)

Plug in the initial conditions. If the volume is V = 0 then the height is h = 0 at time t = 0
0 = [ (75(0) + C)/(2pi) ]^(1/3)
0 = [ (0 + C)/(2pi) ]^(1/3)
0 = [ (C)/(2pi) ]^(1/3)
0^3 =  (C)/(2pi)
0 = C/(2pi)
C/(2pi) = 0
C = 0*2pi
C = 0 

Therefore the h(t) function is...
h(t) = [ (75t + C)/(2pi) ]^(1/3)
h(t) = [ (75t + 0)/(2pi) ]^(1/3)
h(t) = [ (75t)/(2pi) ]^(1/3)

Answer:
h(t) = [ (75t)/(2pi) ]^(1/3)

============================================================

Part C

Your answer is correct. 
Below is an alternative way to find the same answer

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

Plug in the given height; solve for t
h(t) = [ (75t)/(2pi) ]^(1/3)
8 = [ (75t)/(2pi) ]^(1/3)
8^3 = (75t)/(2pi)
512 = (75t)/(2pi)
(75t)/(2pi) = 512
75t = 512*2pi
75t = 1024pi
t = 1024pi/75
At this time value, the height of the water is 8 feet

Set up the radius r(t) function 
r = 2*h
r = 2*h(t)
r = 2*[ (75t)/(2pi) ]^(1/3) .... using the answer from part B

Differentiate that r(t) function with respect to t
r = 2*[ (75t)/(2pi) ]^(1/3)
dr/dt = 2*(1/3)*[ (75t)/(2pi) ]^(1/3-1)*d/dt[(75t)/(2pi)] 
dr/dt = (2/3)*[ (75t)/(2pi) ]^(-2/3)*(75/(2pi))
dr/dt = (2/3)*(75/(2pi))*[ (75t)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (75t)/(2pi) ]^(-2/3)

Plug in t = 1024pi/75 found earlier above
dr/dt = (25/pi)*[ (75t)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (75(1024pi/75))/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (1024pi)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*(1/64)
dr/dt = 25/(64pi)
getting the same answer as before

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

Thinking back as I finish up, your method is definitely shorter and more efficient. So I prefer your method, which is effectively this:
r = 2h, dr/dh = 2
dh/dt = (25)/(2pi*h^2) ... from part A
dr/dt = dr/dh*dh/dt ... chain rule
dr/dt = 2*((25)/(2pi*h^2))
dr/dt = ((25)/(pi*h^2))
dr/dt = ((25)/(pi*8^2)) ... plugging in h = 8
dr/dt = (25)/(64pi)
which is what you stated in your screenshot (though I added on the line dr/dt = dr/dh*dh/dt to show the chain rule in action)
8 0
3 years ago
For the straight line defined by the points ( 3 , 51 ) (3,51) and ( 5 , 87 ) (5,87) , determine the slope ( m m ) and y-intercep
Lerok [7]

Answer:

Intercept = - 3 ; slope = 18

Step-by-step explanation:

Given the points :

(3, 51) ; (5, 87)

x1 =3, y1 = 51, x2 = 5 ; y2 = 87

Slope intercept relation:

y = mx + c

m = slope ; c = intercept ; x and y are x, y vlayes respectively

Slope (m) = (y2 - y1) / (x2 - x1)

Slope (m) = (87 - 51) / (5 - 3)

Slope = 36 / 2

Slope (m) = 18

The intercept c :

m = 18 ; x = 5 ; y = 87

Substitute values into the slope intercept formula :

87 = 18(5) + c

87 = 90 + c

c = 87 - 90

c = - 3

Intercept = - 3

4 0
3 years ago
Write the number that is 100 more than 276
Margarita [4]
376 is 100 more than 276
5 0
3 years ago
Read 2 more answers
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