Answer:
y= -4x^2 + 15x - 14
Step-by-step explanation:
A parabola is always in the form y = ax^2 + bx + c.
Substitute each point to produce different equations:
-14 = 0a + 0b + c = c
so c = -14
-3 = a1^2 + b1 + c = a + b - 14
so a + b = 11
0 = a2^2 + b2 + c = 4a + 2b -14 = 0
so 4a + 2b = 14
if we double a + b = 11 we get 2a + 2b = 22
Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 - a = 15
We don't need to use the (3,5) points as we have all the information we need.
Volume= Length * width ( aka Base ) * height
Break up the figure into easier figures, a small square and a bigger square.
Small square- 3*2*1 = 6 cm
Large Square- 7*6*1 = 42 cm
42 + 6 = 48 cm. But wait! You have to take one more step, which is minus-ing 6 from 48. Why? Notice that there is a little area where a side of the small square meets the bigger square. That little area is worth 3 cm ( length is 3, height is 1 cm ) times 2 ( 3 cm is one side, another 3 cm is the other side from the other square ) = 6 cm.
Your total answer should be 42. ( or 48, if your teacher doesn't count the area where the squares meet/join together ).
So,
#1:
Convert to like improper fractions.
Add.
So, one solution could be
.
Another solution could by 9. There is also 10, 11, 12, etc., and all numbers in between.
#2:
Convert into improper fraction form.
Multiply.
Cross-cancel, and we have our final result.
k < 96
96 is not a solution.
95 is a solution.
So is 94, 93, 92, etc, and all numbers in between.
The shaded area is 299.59un^2.
<h2>Answer:
</h2><h2>
Techno ∩ (European ∩ Dutch)'</h2>
Step-by-step explanation:
According to sets theory ;
Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and
Dutch , while (European ∩ Dutch)' represents neither
European nor Dutch .
Union ( ∪ ) - e.g (European ∪ Dutch) represents either European or Dutch .
So , Techno ∩ (European ∩ Dutch)' represents set notation of techno musics that is neither European nor Dutch .
