Answer: 320 grams
Step-by-step explanation:
Let the mas of the teapot be denoted by a
Let the mass of the cups be denoted by c
The question can be turned into an equation which will be:
a + 4c = 1280 ......... equation i
a + 10c = 2720 ........ equation ii
Subtract equation i from ii
6c = 1440
c = 1440/6
c = 240 grams
The mas of the cup is 240 grams
From equation i
a + 4c = 1280
a + 4(240) = 1280
a + 960 = 1280
a = 1280 - 960
a = 320 grams
The mass of the teapot is 320 grams
<span>30.96576 because the calculator says so..lol
</span>
<span>three functions are
f(x) = 3(x + 4)^2 + 1
g(x) = 2x^2 - 16x + 15
h(x) = a(x - 1) - 3
Axis of symmetry for f(x) is x=-4 For g(x)
by taking the derivative
g'(x) = 4x - 16
= 4(x - 4)
Axis of symmetry for g(x) is x=4
Axis of symmetry for h(x) is x=1
hope it helps
</span>
12)
First of all, you need to know that profit is the difference between selling price and cost price. In this problem, profit is equal to the markup. Total profit is equal to the profit on each car multiplied by the number of cars sold.
The profit on each car is 2000 -400n, where n is defined in the problem statement as the number of markdowns (of $400).
The number of cars sold is 20 +6n. (Starting at 20, increasing by 6 for every markdown.)
The total monthly profit is the product of these binomials.
.. P(n) = (2000 -400n)*(20 +6n)
.. P(n) = -2400n^2 +4000n +40,000 . . . . . . selection C
13)
Matching functions to data points is often just a matter of trying them to see which fits. The first two function both match points (0, 2) and (1, 6). Functions C and D fail to match (1, 6).
Only the second function matches (2, 18).
The appropriate choice is
.. B. y = 2(3)^x
