2x2-5x-3=0
Two solutions were found :
x = -1/2 = -0.500
x = 3
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 3 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-3
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
Answer:
a) c = (5/100)*d
b) c = 0.05*d
c) The ratio between what Lee recieves and what he sold.
d) d = 2000
Step-by-step explanation:
Since Lee earns 5% in commission for each sale then:
a) c = (5/100)*d
b) c = 0.05*d
c) In this context the constant of proportionality means the ratio of the value Lee sold that he'll earn as a comission.
d) Since he wants to earn $100, then c = 100 and we solve for d
c = 0.05*d
100 = 0.05*d
0.05*d = 100
d = 100/0.05 = $2000
He needs to sell $2000.
9514 1404 393
Answer:
- C = (5/9)(F -32)
- 50°F ⇒ 10°C
Step-by-step explanation:
Starting with the formula for degrees Fahrenheit, we can solve for degrees Celsius.
F = 32 +9/5C
F -32 = (9/5)C . . . . . subtract 32
(5/9)(F -32) = C . . . . multiply by the inverse of the coefficient of C
The formula for Celsius temperature from Fahrenheit temperature is ...
C = (5/9)(F -32)
__
For F = 50, the corresponding Celsius temperature is ...
C = (5/9)(50 -32) = (5/9)(18) = 10 . . . degrees Celsius
Answer:
Step-by-step explanation:
54 / 6= 9
9 points per minute
Answer:
about 5.613 seconds
Step-by-step explanation:
Using the quadratic formula to find the value of t when h = 0, we have ...
at² +bt +c = 0
t = (-b±√(b²-4ac))/(2a)
t = (-72±√(72² -4(-16)(100)))/(2(-16))
t = (-72±√11584)/-32 = (9±√181)/4
Only the positive value of t is of interest.
The coin will hit the stream after (9+√181)/4 seconds ≈ 5.613 seconds.