8. What is the solution to the equation 3x + 5(4x-6)-8= 3x - 14? a. x = 1 b. r = 1.7 d. There are no solutions to this equation.
1 answer:
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<em>-7 _D_</em>
<em> _A_</em>
<em>1 _C_</em>
<em> _B_</em>
<em>_A_ </em>
<em>_B_ </em>
<em>_C_ </em>
<em>_D_ </em>
Answer:
Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:
Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):
It follows that b=0
The equation now takes the form:
Using the point (12,5):
We find m:
The final equation is:
Substituting t=1:
The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair: