Part (a)
<h3>Answer: x = -8</h3>
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Work Shown:
2(x-1) = 3(x+2)
2x-2 = 3x+6 .... distribute
2x = 3x+6+2 .... adding 2 to both sides
2x = 3x+8
2x-3x = 8 .... subtracting 3x from both sides
-x = 8
x = -8 ..... multiply both sides by -1
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Part (b)
<h3>Answer: x = 5/11</h3>
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Work Shown:
-4(2x-2) = 3(x+1)
-8x+8 = 3x+3 ..... distribute
-8x = 3x+3-8 .... subtract 8 from both sides
-8x = 3x-5
-8x-3x = -5 ... subtract 3x from both sides
-11x = -5
x = -5/(-11) .... divide both sides by -11
x = 5/11
In decimal form, this is approximately equal to 5/11 = 0.4545
Answer:
-6 7/hr= -6F per hour
Step-by-step explanation:
a rate of change can be defined as:
R=(total change in some quantity) (time in which the change happened)
In this case we know that the temperature dropped -30F in a given time, then we already know that:
Total change in some quanity =-30F now we know that this change took place between the 1:00pm and the 7:00 pm the total amount of ime between these two hours is:
T= (7.00 - 1.00 hr)= 6.00 hr
this means that the change happened =6 hours.
then we can replace these values in the above equation to get:
R=(-30F)/(6hr)=-6F/hr
this means that for each hours that passes the temperature decreases 6F
we also can write that this rate as:
R=-6F/HR =-6F per hour.
Answer:
C
Step-by-step explanation:
We can calculate the area of triangles ABD and DBC, and then add them together to get the area of the whole quadrilateral.
