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PilotLPTM [1.2K]
3 years ago
10

Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Let y=ab^x, as described in the problem statement. Plugging in x=2 and x=5 gives us the equations 18=ab^2 and 60.75=ab^5. Since a,b are nonzero, we divide the second equation by the first to get \frac{27}{8}=b^3, which means that b=\frac{3}{2}, after taking the cube root. Plugging this value for b into the first equation, we now have 18=a(3/2)^2=\frac{9a}{4}. Solving gives a=8, and our desired exponential equation is \boxed{y=8\left(\frac{3}{2}\right)^x}.

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3 pieces of wood have a total length of 32 m. The second piece is twice the size of the first and the third piece is 2 more mete
andreev551 [17]

Answer:

X + Y + Z = 32

X2 = Y

X3 + 2 = Z

X + X2 + X3 + 2 = 32

Make X alone

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Add the X's up

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Divide by 6

30 / 6 = 5

You are left with X=5

The first piece of wood has a length of 5

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The second piece has a value of 10

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Hope this helps. If you have any questions you may ask.

Step-by-step explanation:

5 0
3 years ago
1/10( x + 130) = -2(3-X)<br><br> I need help
Artist 52 [7]

Answer:

x = 10

Step-by-step explanation:

1/10(x + 130) = -2(3 - x)

x + 130 = -20(3-x)

x + 130 = -60 + 20x

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5 0
3 years ago
Find the distance between the points with the given coordinates (-8,-6),(4,10)​
Serggg [28]

Hello from MrBillDoesMath!

Answer:

20

Discussion:

Let (x1,y1) = (-8, -6) and (x2,y2) = (4,10). Per the distance formula,

Distance = sqrt (  (x1-x2)^2 + (y1-y2)^2 )  so

Distance = sqrt (  (-8-4)^2 + (-6-10)^2 )

                = sqrt( (12)^2 + (-16)^2 )

                = sqrt( 144     + 256 )

                = sqrt(400)

                = 20

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
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