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vodka [1.7K]
4 years ago
13

Amelia works as a babysitter for an hourly wage of $8. Which equation represents the relationship between Amelia's total earning

s (y) and the number of hours she works (x)?
Mathematics
2 answers:
disa [49]4 years ago
6 0
Let y be Amelia's total earnings. Amelia earns $8 per hour. If we let x be the number of hours Amelia works, then the equation representing her earnings would be y=8x
Pani-rosa [81]4 years ago
5 0

Answer:

First, Amelia must substitute 8 for the → Variable using → Parentheses

To simplify, Amelia must→ Multiply 6 by 8 8 →in not a solution of the equation.

                                                               i hop this helped c:

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Answer:

z=(\frac{-1}{4} )ln|1-14t^{2}|\\

Step-by-step explanation:

from the equation, \frac{dz}{dt}=7te^{4z}\\.

we can give different approach to the equation, but to make it simple and direct, let separate the equation by bringing all like terms to the same side i.e

\frac{dz}{e^{4z}}=7tdt\\e^{-4z} dz=7tdt.

if we integrate both side,

\int\limits^a_b{e^{-4z} } \,dz =\int\limits^a_b {7t} \,dt

-1/4e^{-4z} +c_{1}=7/2t^{2} +c_{2}\\-1/4e^{-4z}= 7/2t^{2} +c_{2}-c_{1}\\let c_{2}-c_{1}=c \\-1/4e^{-4z}= 7/2t^{2} +c

since the equation passes through the origin, and at the origin z=0 and t=0

we substitute this values and solve for the constant c

e^{-4*0}= 7/2*0 +c\\c=1.

If we substitute the value of c into the equation we arrive at

(-1/4)e^{-4z}= (7/2)t^{2}+1\\ e^{-4z}=1-14t^{2} \\

if we the the natural logarithm of both sides, we arrive at

-4z=ln|1-14t^{2}|\\z=(\frac{-1}{4} )ln|1-14t^{2}|\\

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