Answer:
Ratio of the perimeters =3:1
Step-by-step explanation:
We have given that : Ratio of the sides of two squares is 3:1
To find : Ratio of their perimeters
Solution : Let the length of the sides are 3:1 = 3x : x
Formula of perimeter of square = 4(side)
Using the formula ,
Perimeter of 1 square = 4×3x= 12x
Perimeter of 2 square = 4×x= 4x
Ratio of the perimeter of 1 square and 2 square = 12x : 4x
= 3 : 1
Answer:
Malcolm would fill 8 bags of rice.
Step-by-step explanation:
The size of the container of rice = 5
pounds = 
pounds.
Each bag of rice has a capacity of 
pounds.
The number of bags of rice that Malcolm fills = 
= ÷
= x 
= 
= 8
Therefore, Malcolm would be able to fill 8 bags of rice.
It is certainly possible for a function decreasing over a certain interval to be negative, but no rule that says it must be. On the other hand, where the function is decreasing, the rate of change of the function must be negative.
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
<u><em>Answer:</em></u>
He read 1/3 of the book on the second day
He didn't finish the book in two days.
<u><em>Step-by-step explanation:</em></u>
Lets find 3/5 of 5/9
If we said, find 3/5 of x, the answer would be 3/5x.
3/5*x = 3/5x
In the same way, 
He read 1/3 of the book on the second day
Does 5/9 + 1/3 equal to 1?
1/3 = 3/9
5/9 + 3/9 = 8/9
He didn't finish the book in two days.
Hope this helps :)
Have a nice day!
