Answer:
x = 1/3 + (2 i sqrt(5))/3 or x = 1/3 - (2 i sqrt(5))/3
Step-by-step explanation:
Solve for x:
-3 x^2 + 2 x - 7 = 0
Divide both sides by -3:
x^2 - (2 x)/3 + 7/3 = 0
Subtract 7/3 from both sides:
x^2 - (2 x)/3 = -7/3
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = -20/9
Write the left hand side as a square:
(x - 1/3)^2 = -20/9
Take the square root of both sides:
x - 1/3 = (2 i sqrt(5))/3 or x - 1/3 = -(2 i sqrt(5))/3
Add 1/3 to both sides:
x = 1/3 + (2 i sqrt(5))/3 or x - 1/3 = -(2 i sqrt(5))/3
Add 1/3 to both sides:
Answer: x = 1/3 + (2 i sqrt(5))/3 or x = 1/3 - (2 i sqrt(5))/3
Answer: 32.75
Step-by-step explanation: 131/4 = 32.75
Answer:
90 mph
Step-by-step explanation:
Average speed is given by
Average speed=(initial+final speed)/2
Given average speed of 60 mph then considering initial speed of 30 mph. Let x be the final speed hence
60=(30+x)/2
120=30+x
X=120-30=90 mph
Therefore, the return trip speed is 90 mph
Answer:
0.21
Step-by-step explanation:
There's 21 kids with a cell phone and no tablet
so 21/100 = 0.21
PART A: The equation I used is y<span>≥-1x+4. The line will be graphed going diagonally from the second quadrant to the fourth quadrant and shaded above the line.
PART B: Plug in the coordinates for point C and F into the equation from PART A and solve them to make sure the statements are true. You should end up with 2</span>≥2 for point C and 4<span>≥1 for point F.
PART C: First graph the equation and then shade below the line. Next, identify all the points in the shaded area.
I hope this helps you! I have provided pictures of both equations for reference. The first picture is for PART A and PART B. The second picture is for PART C. Let me know if I'm correct :)</span>