Answer:
2) x=-4 y=4 4) x=0 y=-4
Step-by-step explanation:
<em>2)</em> Step: Substitute x+8 for y in y=−4x−12:
y=−4x−12
x+8=−4x−12
x+8+4x=−4x−12+4x (Add 4x to both sides)
5x+8=−12
5x+8+−8=−12+−8 (Add -8 to both sides)
5x=−20
5x
/5 = −20
/5 (Divide both sides by 5)
x=−4
Step: Substitute −4 for x in y=x+8:
y=x+8
y=−4+8
y=4 (Simplify both sides of the equation)
Answer:
x=−4 and y=4
<em>4) </em>Step: Substitute 3x−4 for y in y=x−4:
y=x−4
3x−4=x−4
3x−4+−x=x−4+−x (Add -x to both sides)
2x−4=−4
2x−4+4=−4+4 (Add 4 to both sides)
2x=0
2x/2 = 0
/2 (Divide both sides by 2)
x=0
Step: Substitute 0 for x in y=3x−4:
y=3x−4
y=(3)(0)−4
y=−4 (Simplify both sides of the equation)
Answer:
x=0 and y=−4
Two triangles put together can make different shapes. You can have a diamond for instance, or a parallelogram
Answer:
The answer is D because, John is gonna keep running the multiples of 8.
Step-by-step explanation:
8X2= 16
Answer:
A)168
B)2250
Step-by-step explanation:
A)28•6=168
B)180•12.5=2,250
Answer: a) 83, b) 28, c) 14, d) 28.
Step-by-step explanation:
Since we have given that
n(B) = 69
n(Br)=90
n(C)=59
n(B∩Br)=28
n(B∩C)=20
n(Br∩C)=24
n(B∩Br∩C)=10
a) How many of the 269 college students do not like any of these three vegetables?
n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)
n(B∪Br∪C)=
So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83
b) How many like broccoli only?
n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))
n(only Br)=
c) How many like broccoli AND cauliflower but not Brussels sprouts?
n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)
n(Br∩C-B)=
d) How many like neither Brussels sprouts nor cauliflower?
n(B'∪C')=n(only Br)= 28
Hence, a) 83, b) 28, c) 14, d) 28.
