Answer:
C>-1/4
Step-by-step explanation:
Two have intersection it must be:
2x+c= x^2+3x, i.e,
x^2+x-c=0
Solution of its equation is:

If we we want two solution we must have that:
1+4c>0
So c>-1/4.
Answer:
25%
Step-by-step explanation:
Given:
The man buys the car for 80000 units.
For repairing the car, the man spends 20000 units.
The man sells the car for 125000 units.
To find:
The gain percent of the man.
Solution:
The man buys the car for 80000 units.
For repairing the car, the man spends 20000 units.
∴ Total expenditure of the man for the car_
(80000 + 20000) units.
= 100000 units.
The man sells the car for 125000 units.
∴ Gain = (125000 - 100000) units
= 25000 units.
∴ Gain % = (25000×100)/100000
= (25000/1000)
= 25 %.
∴ The gain of the man is 25 %.
Answer:
His gain is 25%.
3 times 1 is 3. Take 3 minus 7 equals -4.
The answer is (1 , -4)
Answer:
Component Form: v = <-1,6>
Magnitude of v: ||v|| = √37
Direction of v: θv = 100° (to the nearest degree)
Step-by-step explanation:
Component Form: v = <(5-6),(3-(-3))> = <-1,6>
Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37
Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.
Answer:
A. (-7 -2)
Step-by-step explanation:
You can eliminate y by multiplying the first equation by 7 and subtracting 6 times the second equation:
7(-3x +6y) -6(5x +7y) = 7(9) -6(-49)
-21x +42y -30x -42y = 63 +294 . . . . eliminate parentheses
-51x = 357 . . . . . . . . collect terms
x = -7 . . . . . . . divide by -51. This matches answer choice A.