Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
---------------------------------
Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
3,300-500=2,800
2,800+ 950=3,750
3750-60= 36,900
36,900-225= 36,675
Answer:
<em>4</em>
Step-by-step explanation:
The solid triangle dilated to become the dashed triangle.
Compare two corresponding sides. For example, the vertical side of the solid triangle measures 3 units. The vertical side of the dashed triangle measures 12 units. 12/3 = 4. The dilation is 4. The scale factor is 4.
C
Because .75 times 9 would give you the price of the books and then you would have to add C, the amount left to get to 20.
Answer:
6,000 dollars
Step-by-step explanation:
We first need to find out how much it would cost Danielle for a month if she chose the second option
200 + 40 = 240
240 x 30 = 7,200
Now that we know how much Danielle would pay if she chose the second option, now we need to find out how much she <em>saved</em>.
7,200 - 1,200 = 6,000
So Danielle saved 6,000 dollars by choosing the first option instead of the second one.
