1) is: (4,-1)
I: x>3
II: y<=2*x-5
a: (5,6):
I: 5>3 ?yes
II: 6<=2*5-5
6<=5 ?no
This is not a solution
b: (4,-1):
I: 4>3 ?yes
II: -1<=2*4-5
-1<=3 ?yes
This is a solution
c: (-3,-1):
I: -3>3 ?no
This is not a solution
d: (1,11):
I: 1>3 ?no
This is not a solution
2) is (8,-1):
I: x+y>=5
II: x-2*y>8
a: (6,1):
I: 6+1>=5
7>=5 ?yes
II: 6-2*1>8
4>8 ?no
This is not a solution
b: (8,-1):
I: 8+-1>=5
7>=5 ?yes
II: 8-2*-1>8
10>8 ?yes
This is a solution
c: (6,2):
I: 6+2>=5
8>=5 ?yes
II: 6-2*2>8
2>8 ?no
This is not a solution
d: (6,-2):
I: 6+-2>=5
4>=5 ?no
This is not a solution
3) is (6,2):
I: 2*x+4*y>0
II: -x+5*y>0
a: (0,0):
I: 2*0+4*0>0
0>0 ?no
This is not a solution
b: (-4,-2):
I: 2*-4+4*-2>0
-16>0 ?no
This is not a solution
c: (6,2):
I: 2*6+4*2>0
20>0 ?yes
II: -6+5*2>0
4>0 ?yes
This is a solution
d: (6,0):
I: 2*6+4*0>0
12>0 ?yes
II: -6+5*0>0
-6>0 ?no
This is not a solution
The answer would be D because if you notice the ratios between coordinates and their placement, the first transformation divides the coordinates by 8, or dilating it by a scale factor of 1/8. Then, in the second transformation, each of the coordinates' x-values increased by four, so it moves over four spaces to the right.
Here you go hope it helps
Answer:
The answer is D
Step-by-step explanation:
You can find it by expanding the equation in the form of y = mx + b :
y - 4 = 3(x + 1)
y - 4 = 3x + 3
y = 3x + 3 + 4
y = 3x + 7
Then, looking at the equation "b" is a y-intercept. The line that touch/passes through y-axis is called <u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u>. From the equation, we know that 7 is the y-intercept.
By looking at the diagram, only Graph D is suitable for this equation because the line has touches 7 at y-axis.
Answer:
30 bacteria
Step-by-step explanation:
