X+40=3x
40=3x-1x
40=2x
40/2=x
20=x
Answer:
B. X= 5 + 3i
5 + 3i
Step-by-step explanation:
We are given the quadratic equation
x² - 10x = -34
x² - 10x + 34 = 0
Using Almighty formula
x = -b ± √b² - 4ac/2a
When given equation: ax² + bx + c
Where: a = 1, b = -10 , c = 34
x = -10 ± √-10² - 4 × 1 × 34/2 × 1
x = 10 ± √100 - 136/2
x = 10 ± √-36 /2
x = 10/2 ±. √-36/2
x = 5 ± 6i /2
x = 5 ± 3i
Hence: the roots of the equation are:
x = 5 - 3i , x = 5 + 3i
Answer:
130 gallons initally, losing approx. 1.33333 gallons per minute, will be empty in approx 97.5 min
Step-by-step explanation:
1: y-intercept = (0, 130)
2: take two points (0, 130) & (30, 80)
use slope equation (80 - 130)/ (30 - 0) = -40/30 = -4/3
3: line equation is y=-4/3x+130
make y=0
0=-4/3x+130
-130=-4/3x
-130/-4/3=x
97.5=x
the answer is B 2.75 miles per hour
Answer:
(6, -30) ⇒ A
(-3, 15) ⇒ D
(1, -5) ⇒ E
Step-by-step explanation: