Answer:
-1
Step-by-step explanation:
3 • 7 = 21
Find two factors of 21 whose sum equals the coefficient of the middle term, which is -1 .
-21 + -1 = -22
-1 + -21 = -22
1 + 21 = 22
21 + 1 = 22
Y = -2x + 4
The graph of the equation is the set of points that are solutions to the
equation.
The equation 2x + y = 4 is represented by the same graph.
For point (1, 2): 2 = -2(1) + 4 = -2 + 4 = 2.
Therefore, the point (1, 2) lies on the the graph of the equation.
For the
point (0, 2): 2 ≠ -2(0) + 4 = 0 + 4 = 4.
Therefore, the point (0, 2) DOES NOT lie on the graph of the equation.
Answer:
u = 1/6
Step-by-step explanation:
<u>1</u> (12u - 2 )= 0
3
3×<u>1</u> (12u-2) =0×3
3
12u -2 =0
<u>12u</u> = <u>2</u>
12 12
u = <u>1</u>
6
<h3>
Answer: 8 winter hats</h3>
Explanation:
x = number of winter hats
20-x = number of baseball hats
Dividing those quantities will get us 2/3 because of the ratio 2:3
x/(20-x) = 2/3
3x = 2(20-x)
3x = 40-2x
3x+2x = 40
5x = 40
x = 40/5
x = 8
There are 8 winter hats
And there are 20-x = 20-8 = 12 baseball hats.
The ratio 8:12 reduces to 2:3 after dividing both parts by 4. This helps confirm the answer.
