Answer:
Step-by-step explanation:
Given equation is,
a). y = 
x 0.5 1 2 3 4 5 6
y

b). By plotting the input-output values on the graph we get the curve as shown in option C.
Therefore, Option C will be the answer.
Hello,
(f-g)(x)=3x²+1-1+x=3x²+x
(f-g)(2)=3*2²+2=3*4+2=14
The length and width of the rectangle is 11 in and 8 in respectively.
Step-by-step explanation:
Given,
The width of a rectangle is 3 in less than the length.
The area of each congruent right angle triangle = 44 in²
To find the length and width of the rectangle.
Formula
The area of a triangle with b base and h as height =
bh
Now,
Let, the width = x and the length = x+3.
Here, for the triangle, width will be its base and length will be its height.
According to the problem,
×(x+3)×x = 44
or, 
or,
or,
+(11-8)x-88 = 0
or,
+11x-8x-88 =0
or, x(x+11)-8(x+11) = 0
or, (x+11)(x-8) = 0
So, x = 8 ( x≠-11, the length or width could no be negative)
Hence,
Width = 8 in and length = 8+3 = 11 in
The 13 stripes alternate red and white: 7 red and 6 white.
Each of 13 stripes is (39 in. / 13) = 3 in. wide.
4 of the 7 red stripes are 39 in. long. The other 3 are 65 in. long.
The total area (l*w) of the flag is (65 in.)*(39 in.)=2535 sq. in.
The red stripes make up an area (l*w) that is:
4*(area of short stripes) + 3*(area of long stripes)
Red area is 4*(39*3) + 3*(65*3) = 1053 sq in.
The fraction of the flag that is red is:
1053 sq. in. / 2535 sq. in.