Answer:
28 yd²
Step-by-step explanation:
find the two biggest sides
2x4
8 but there are two sides...
8*2= 16
*16*
now side panels
1x4
4 but there are two
4*2= 8
*8*
top and bottom panels
2x1
2 but there are two
2*2= 4
*4*
add them up
16 + 8 + 4= 28
Answer:
x = 3, -1/2
Step-by-step explanation:
Use the quadratic formula: x = [-b ± √b² - 4ac]/2a
The square root sign should be over the entire expression b² - 4ac
In this problem, a = -6, b = 15, and c = 9
So, putting in those values, we get x = -15 ± √225+216, all divided by -12
Simplifying further, we get -15 ± 21 all divided by -12, or -36/-12 = 3 OR
6/-12 = -1/2
Answer:
g(x) has a greater average rate of change
Step-by-step explanation:
From the given information, the table is:
<u>x | g(x)</u>
-1 7
0 5
1 7
2 13
From this table, we have g(0)=5 and g(2)=13
The average rate of change over [a,b] of g(x) is given by: 
This implies that on the [0,2]. the average rate of change is:

Also, we have that: f(0)=-4 and f(2)=-1.
This means that the average rate of change of f(x) on [0,2] is

Hence g(x) has a greater average rate of change on [0,2]
Answer:
(9, -3)
Step-by-step explanation:
The coordinates of the midpoint are the averages of the coordinates of the endpoints.
For the x coordinates:
3 = (-3 + x) / 2
x = 9
For the y coordinates:
3 = (9 + y) / 2
y = -3
The other endpoint is at (9, -3)
The answer is -5
Step-by-step explanation:
First, let's understand about what are rational number and Integer.
Both rational and Integer are part or rather say subset of Real Number. Real Number can be broken into these categories:
I will not talk about Irrational since It is a bit off-topic for the question.
Rational can be broken into:
- Integer (Positive, Zero and Negative)
- Fraction
Integer is a subset of Rational Number and Real Number. But what is really Integer?
Integer is a whole number or any numbers that don't have decimal, fraction. Integer can be ...,-4,-3,-2,-1,0,1,2,3,4,...
The three dot symbol refers to being endless or countable infinity.
Now that you see Integer cannot be fraction, decimal.
Therefore, the answer is -5