Minus 36 from each one you can do it on a calculator:)
Answer:
The correct answers are c. p(f(x)) = -.064x^2+64x-60
and b. 15,940.
Step-by-step explanation:
This is correct on the test
Answer: y = 36x
Step-by-step explanation: Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x = , y = 12, then
k = = = 12 × 3 = 36
y = 36x ← equation of variation
Linear equations are all solved the same way. Figure out the operations performed on the variable. Undo those in reverse order.
Here, the variable is
- divided by 2
- has -7 added.
In reverse order, we undo these operations by
- adding 7
- multiplying by 2.
Whatever we do to one side of an equation, we must also do to the other side. That is how the equal sign remains valid.
2 = m/2 -7
2 +7 = m/2 -7 +7 . . . . . add 7
9 = m/2 . . . . . . . . . . . . simplify
2*9 = 2*m/2 . . . . . . . . multiply by 2
18 = m . . . . . . . . . . . . . simplify. (You know that 2/2 = 1, and m*1 = m.)
The answer is m = 18.
_____
Check:
.. 2 = 18/2 -7
.. 2 = 9 -7 . . . . . . . true. The answer checks OK.
Answer:
41.7m²
Step-by-step explanation:
As we can see, the area of this shape is simply the sum of 3 rectangles
Rectangle A has an area of 6 times 4 or 24m²
Rectangle B has an area of (3.8-2) times 3.5 or 1.8 times 3.5 or 6.3m²
Rectangle C has an area of 3 times 3.8 or 11.4m²
Adding that up gives 41.7m²
