Answer:
1. Consistent independent.
2. Coincident
3. Inconsistent.
Step-by-step explanation:
4x + y = 8
x + 3y = 8 Multiply this equation by -4:
-4x - 12y = -32
Adding this to the first equation:
-11y = -24 giving y = -24/-11 = 2.18
Substituting in the first second equation:
x + 3(2.18) = 8 giving x = 1.46.
So this system of equations has roots (1.46, 2.18) and is consistent independent.
2.
-4x + 6y = -2
2x - 3y = 1 Multiply this by -2:
-4x + 6y = -2
So these 2 equations are the same and will give the same graph on the coordinate plane, and so has:
Infinite solutions and is coincident.
3.
5x - 2y = 4
5x - 2y = 6
We can see immediately that this system of equations has NO Solutions.
If we subtract the 2 equations we get:
0 = -2 which is of course, absurd.
Classification Inconsistent.
Answer with explanation:
The Given Inequality is
|x-4|<9
Modulus of a number yields always a positive value.
→|x-4|= x-4, when, x-4≥0
That is , x≥4.
= -(x-4), when, x-4<0
means, x<4.
it can be Written as
→ -9<x-4<9
→ -9+4 < x -4+4 < 9+4
→ -5<x<13
→x∈(-5,13)
Answer:
I think it would be 2
Step-by-step explanation:
hope it help and was rigjt
Answer: the future value is $1748.4
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 1550
r = 4% = 4/100 = 0.04
n = 365 because it was compounded 365 times in a year.
t = 3 years
Therefore,.
A = 1550(1 + 0.04/365)^365 × 3
A = 1550(1+0.00011)^1095
A = 1550(1.00011)^1095
A = 1550 × 1.128
A = 1748.4
