(a) <em>Slope and intercept
</em>
In the equation y = 2x +8, the coefficient of x is the slope and the constant is the y-intercept.
Thus,
slope = 2; y-intercept = 8
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(b) <em>Rate of change and initial amount
</em>
The rate of change is the slope. The units of y are baskets of apples and the units of x are hours. So,
rate of change = 2 baskets of apples per hour
The initial amount when x = o.
When x = 0, y = 8. so
Initial amount = 8 baskets of apples
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(c) <em>Graph
</em>
Your graph should look something like the one below.
Answer:
4, 2, 1, 2, 4
Step-by-step explanation:
-2 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-2).
f(-2) = (1/2)^-2 = 1^-2/2^-2 = 2^2/1^2 = 4/1 = 4
-1 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-1).
f(-1) = (1/2)^-1 = 1^-1/2^-1 = 2^1/1^1 = 2/1 = 2
0 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(0).
f(0) = (1/2)^0 = 1^0/2^0 = 1/1 = 1
1 > 0, so use the second equation, f(x) = 2^x, to find f(1).
f(1) = 2^1 = 2
2 > 0, so use the second equation, f(x) = 2^x, to find f(2).
f(2) = 2^2 = 4
Quantity of $2.20 fuel<span> = total quantity - quantity of </span>$3.00 fuel<span>. However .... As an example, suppose we </span>had<span> 80 </span>gallons<span> if the </span>$3.00 gas. Then it ... From this you can observe that the quantities ofeach type<span> of </span>gas<span> are directly linked. ... If we </span>have<span> none of this then we </span>have all<span> of the 280 </span>gallons<span> as the $2.20 </span>gas<span>.</span>
There are 2.5 tsp vanilla needed for 5 cups of flour. I solved this by putting the given info into a ratio- cups of flour/tsp. vanilla. Then, i put in the given information and cross multiplied to solve for x. I hope this helped you!! :))
Answer:
C 20 cubic centimeters
Step-by-step explanation:
Volume= l×b×h = 5×2×2=20cm³