Answer:
False
Step-by-step explanation:
If x is a negative number then it will stay the same. If it is a positive number then it depends.
43x+2=64+455−766
Step 1: Simplify both sides of the equation.
43x+2=64+455−766
43x+2=64+455+−766
43x+2=(64+455+−766)(Combine Like Terms)
43x+2=−247
43x+2=−247
Step 2: Subtract 2 from both sides.
43x+2−2=−247−2
43x=−249
Step 3: Divide both sides by 43.
43x
/43 = −249
/43
x = −249
/43
Answer:
x = −249
/43
Answer:
1) after 4 weeks, Lin has more with $65
2) after 3 weeks they both have same amount
Step-by-step explanation:
let 'w' = number of weeks
1) <u>equation for Han</u>: y = 100 - 15w
y = 100 - 15(4)
y = 100 - 60
y = $40 after 4 weeks
<u>equation for Linn</u>: y = 25 + 10w
y = 25 + 10(4)
y = 25 + 40
y = $65 after 4 weeks
2) 100 - 15w = 25 + 10w
75 - 15w = 10w
75 = 25w
w = 3 weeks
Y +6 =(1/2)(x+4)
y +6 = 1/2 x +2
y=1/2 x - 4
or 1/2 x -y = 4
Answer:
C and D
Step-by-step explanation:
Equating the line A and the parabola, we get
-3x + 2 = x² - 3x + 4
0 = x² - 3x + 4 +3x - 2
0 = x² + 2
-2 = x²
which has no real solutions. Then, the line A and the parabola don't intersect each other.
Equating the line B and the parabola, we get
-3x + 3 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 3
0 = x² + 1
-1 = x²
which has no real solutions. Then, the line B and the parabola don't intersect each other.
Equating the line C and the parabola, we get
-3x + 5 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 5
0 = x² - 1
1 = x²
√1 = x
which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.
Equating the line D and the parabola, we get
-3x + 6 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 6
0 = x² - 2
2 = x²
√2 = x
which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.
