The veretx is normally the minimum value
hack:
for f(x)=ax²+bx+c
the x value of the vertex is -b/2a
so
f(x)=1x²-16x+71
x value is -(-16)/(2*1)=16/2=8
find f(8) to find y value of vertex
f(8)=8²-16(8)+71
f(8)=64-128+71
f(8)=7
the vertex is (8,7)
the minimum value is 7
B. 6/9 because 6/9 equal to 2/3 so it’s basically the same ratio
is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
Answer:
No, the answer is 120 plants per square foot
Step-by-step explanation:
What I did was first figure up the area of the triangle. You want to do this because the area will tell you how many square feet are in the garden. In order to find this, you need to use this formula: 1/2 b·h
Plug in the numbers like this: 1/2·15·8
15 is the base of the triangle, while 8 is the height of the triangle. Now solve your equation.
15·8=120
1/2·120=60
Area = 60
Now you know that the area is 60ft². So there are 60 square feet in the whole garden. But, we're not done yet. Jessica wants to put 2 plants in every 1 square foot. So now, we need to multiply 60 by 2 in order to get 2 plants in every 1 square foot.
60·2=120
Jessica can put 120 plants in the garden if she is wanting 2 plants per square foot.
I hope this makes sense and is easy to understand. Please let me know if you need any more help or clarification. I'm always happy to help! Have a great day and good luck!!
Answer:
2π
Step-by-step explanation:
Area = πr^2
= π2^2
= 4π
4π is the area of the whole circle, so divide it in half to get the semicircle.
<u>= 2π</u>
