Therefore the reminder is 3 when 5n is divided by 7.
Step-by-step explanation:
we know that
Dividend = quotient × Divisor +Reminder
⇔ n = Q(n) × 7 + 2 [ let Q(n) is quotient]
multiplying by 5 both sides
5n = 5 Q(n) ×7 + 2×5
⇔5n = 5 Q(n) ×7 +10
⇔5n= 5 Q(n) ×7 +7 +3
⇔ 5n = (5Q(n) +1) × 7 +3
Therefore the reminder is 3 when 5n is divided by 7.
The number of solutions of a quadratic equation
ax^2+bx+c=0
Depends on its discriminant
/Delta=b^2-4ac
If /Delta>0 there are two distinct solutions
If /Delta=0 there are two coincident solutions
If /Delta<0 there are no solutions.
We know that there are two real solutions (I assume you mean distinct solutions), so we know that the discriminant is positive:
The number of solutions of a quadratic equation
Depends on its discriminant
If there are two distinct solutions
If there are two coincident solutions
If there are no solutions.
We know that there are two real solutions (I assume you mean distinct solutions), so we know that the discriminant is positive:
b^2-4ac=9+28t>0\iff t>-\dfrac[9][28]
Perfect :)
Again, 1500/8500 ≈ 17.64%.
Again, write about 17.64% as, though i'm not sure about your teachers, but my teachers used to take marks off for that...
Answer:
3x + 24
Step-by-step explanation:
Given that;
Company owns two manufacting plants with the following daily production levels :
PLANT A:
8x + 17 widgets
PLANT B:
5x - 7 widgets
Where x = minimum quantity
How many more items does the first plant produce daily than the second plant?
Subtract the Plant B's production level from plant A
8x + 17 - (5x - 7)
8x + 17 - 5x + 7
Collecting like terms
8x - 5x + 17 + 7
3x + 24
Hence, the number of items the first plant produce daily than the second plant is :
3x + 24
