Let l length, w width, p perimeter:
l=12+w
2(l+w)=p
2((12+w)+w)= 100
2(12+2w)=100
12+2w=50
2w=38
w=19
l=12+w=12+9= 21
l=21
The remainder of f(x) = 7
Step-by-step explanation:
f(x) =
Here 2x - 1 is a factor.
We will apply Factor theorem ( states that if (x-a) is a factor of f(x) then f(a) is the remainder)
Putting x = 1/2 in f(x) we will get the remainder.
f(1/2) = 2(1/2)^3 -5(1/2)^2 +8(1/2) +4
=7
Answer:
2:7
Step-by-step explanation:
There are 4 boys and 14 total students (# of boys + # of girls). Therefore, the ration that compares boys to total number of students is 4:14 which is 2:7 in simplest form.
Hope this helps :)
Answer:
(2,0)
Step-by-step explanation:
The solution of the inequality is shown in attached diagram.
The boundary line is dotted line, because the sign of inequality is without notion "or equal to". The dotted line means that points lying on this line are not solutions of the inequality. The solutions are those points lying in the shaded region.
From the points (0,2), (2,0), (1,-2), (-2,1) only point (2,0) lies on the shaded region, so only point (2,0) is a solution to the inequality