Answer:
2<x<3
Step-by-step explanation:
4x-4<8 AND 9x+5>23
Solve the first inequality
4x-4<8
Add 4 to each side
4x-4+4 <8+4
4x<12
Divide by 4
4x/4 <12/4
x <3
Solve the second inequality
9x+5>23
Subtract 5 from each side
9x+5-5>23-5
9x >18
Divide by 9
9x/9>18/9
x>2
Put together
x<3 and x>2
2<x<3
Using pythag a^2+b^2=16^2
16^2=256
and since a=b the equation is 2x^2=256
/ each side by 2
x^2=128
x=sq rt of 128=11.31 roughly
3: independent
4: dependent
There would be 12 girls and 18 boys. Since the ratio is 2:3, there are 5 parts total (2+3=5) With 30 students, each part equals 6 students (30/5=6) Therefore the two parts that are girls would be 6 x 2, or 12 students, leaving the remainder of students, 18, to be boys
Answer:
C
Step-by-step explanation:
c. y = 2x + 3
first you need to find the y-intercept which is 3
and then the slope rise/run which is 2 so y = 2x + 3