Answer with explanation:
Number of four digit numbers using four distinct digit
=Unit placed can be filled in four ways * Tens place can be filled in Three ways * Hundreds place can be filled in 2 ways * Thousand Place can be filled in a single way
=4*3*2*1
=24 distinct numbers
Sum of all four , four digits numbers using 1,2,3,4
= (If we keep 4 at unit place +Keeping 3 at unit place +Keeping 2 at unit place+Keeping 1 at unit place)×6+At tens place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At hundred's place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At thousand's Place(2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)
=(24+18+12+6)Unit place+(60)Ten's place +(60)Hundred's place+(60)Thousand's Place
=66660
Answer:
x = 0.19 or x = -0.76
Step-by-step explanation:
Equation: 7²-4x = 2
reordering the equation,
7x²-4x-2 = 0
Applying,
x = [-b±√(b²-4ac)]/2a..................... Equation 1
From the question,
Given: a = 7, b = -4, c = -2
Substitute these values into equation 1
x = [-4±√(-4²-(2×7×-2)]/(2×7)
x = [-4±√(16+28)]/14
x = (-4±√44)/14
Either
x = (-4+√44)/14
x = (-4+6.63)/14
x = 2.63/14
x = 0.19
or
x = (-4-√44)/14
x = (-4-6.63)/14
x = -10.63/14
x = -0.76
F(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2
The answer is D.
Answer:
the height is 7.5
Step-by-step explanation:
30 divided by 4 = 7.5