3x−2y=12;−3x+8y=−6
Step: Solve3x−2y=12for x:
3x−2y=12
3x−2y+2y=12+2y(Add 2y to both sides)
3x=2y+12
3x
3
=
2y+12
3
(Divide both sides by 3)
x=
2
3
y+4
Step: Substitute
2
3
y+4forxin−3x+8y=−6:
−3x+8y=−6
−3(
2
3
y+4)+8y=−6
6y−12=−6(Simplify both sides of the equation)
6y−12+12=−6+12(Add 12 to both sides)
6y=6
6y
6
=
6
6
(Divide both sides by 6)
y=1
Step: Substitute1foryinx=
2
3
y+4:
x=
2
3
y+4
x=
2
3
(1)+4
x=
14
3
(Simplify both sides of the equation)
Answer:
x=
14
3
and y=1
First point given: (5,4)
Y = -1/4x + b
4 = -1/4(5) + b
4 = -5/4 + b
b = 2.75
Equation: y = -1/4x + 2.75
Find three points
(5,4), (9,5), (1,3)
Plot these and draw a line
Answer:
24 square feet
Step-by-step explanation:
The purple part is 2 feet wide and 12 feet long. 2*12=24
The answer is A:
Because the only difference between the rest of the answer choices are the lower and upper quartiles, that is all you need to find. In order to do so you find the median for the first half (lower quartile) and then find the median for the second half. In this case it is 29 (Q1) and 58 (Q2)
Answer:
intersection of the y axis