X=4 x=-4 Due to the difference in squares theorem
Part A: Explain why the x-coordinates of the points where the graphs of
the equations y = 4-x and y = 2x + 3 intersect are the solutions of the
equation
4-x = 2x + 3.
Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
x values 4 -x 2x + 3
-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6 2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3 2(1)+3=5
2 4-2=2 2(2)+3 = 7
3 4-3=1 2(3)+3 = 9
The the solution is between x = 0 and x =1
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
Draw in a same graph both functions y= 4 - x and y = 2x +3.
Then read the x-coordinates of the intersection point. That is the solution.
Answer:
13) 2 g
14) 5,000 mL
15) 104,000 m
16) 160 mm
17) 5,600,000 mg
19) 0.25 km
Step-by-step explanation:
13. Convert 2,000 mg to g:
1 mg = 0.001 g
(2,000 mg * 0.001 g) / 1 mg = 2 g
14. Convert 5 L to mL:
1 L = 1000 mL
(5 L * 1000 mL) / 1 L = 5,000 mL
15. Convert 104 km to m:
1 km = 1000 m
(104 km * 1000 m) / 1 km = 104,000 m
16. Convert 16 cm to mm:
1 cm = 10 mm
(16 cm * 10 mm) / 1 cm = 160 mm
17. Convert 5.6 kg to mg:
1 kg = 1,000,000 mg
(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg
19) Convert 250 m to km:
1 m = 0.001 km
(250 m * 0.001 km) / 1 m = 0.25 km
Answer:
B
Step-by-step explanation:
