Answer:
a) -3 gallons per hour
b) y = -3x +14
Step-by-step explanation:
Rate of change is computed by dividing the amount of change by the interval over which it occurred.
<h3>a)</h3>
Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.
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<h3>b)</h3>
The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...
y = -3x +14 . . . . gas in the tank after x hours
The symbol "<=" without quotes means "less than or equal to"
-6x + 2y <= 42
-6x + 2y + 6x <= 42 + 6x ... Add 6x to both sides
2y <= 6x + 42
2y/2 <= 6x/2 + 42/2 ... divide every term by 2
y <= 3x + 21
So the answer is choice D
Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
<em></em>
Step-by-step explanation:
Given
Represent their ages with the first letters of their names:
Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in
This gives:
Collect Like Terms
Divide through by 6
<em>This implies that Sandy is 12 years old</em>
Substitute 12 for S in and
<em>This implies that Randy is 48 years old and Todd is 27</em>
Answer:
7.3
Step-by-step explanation:
You have to make this a pythagorean theorm equation.
so you would have a side length of 7 and 2.
7^2+2^2=c^2
49 + 4 = c^2
53 = c^2
sqrt:53
7.28010
round
7.3
Marlins and Yankees both simplify to 1/16
