Answer:
x=-2, y=8. (-2, 8).
Step-by-step explanation:
8x+5y=24
y=-4x
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8x+5(-4x)=24
8x-20x=24
-12x=24
x=24/-12
x=-2
y=-4(-2)=8
The function we have is:
This is a linear function.
We can find the slope (the rate of change) of this function, by comparing it to the general slope-intercept equation:
Where m is the slope (rate of change) and b is the y-intercept of the line.
By comparison, we see that m an b are:
Since we are asked for the value of the rate of change, the answer is the value of m:
which is option A.
Answer:
A. 34.95
5 I think ................................................
3. (a.)
<span>Volume of block = 20 cm x 9 cm x 8 cm = 1440 cm^3 </span>
<span>(b.) </span>
<span>Volume of cylinder = pi * (radius)^2 * (height) </span>
<span>Plugging dimensions in: </span>
<span>Volume = pi * (10 cm/2)^2 * (15 cm) </span>
<span>= pi * (5 cm)^2 * (15 cm) </span>
<span>= 1178 cm^3 to the nearest centimeter </span>
<span>(c.) </span>
<span>Remaining volume = 1440 cm^3 - 1178 cm^3 = 262 cm^3 </span>
<span>Volume of cube = side^3 = 262 cm^3 </span>
<span>Taking cube root, side = 262^(1/3) = 6 cm to the nearest cm</span>
