we have point (-6, - 1)
Now we will put these points in each equation,
y = 4x +23
put x = -6 and y = -1
-1 = 4 (-6) +23
-1 = -24 + 23
-1 = -1
LHS = RHS, so this equation has (-6 , -1) as solution.
y = 6x
put x = -6 and y = -1
-1 = 6 (-6)
-1 not= -36
LHS is not equal RHS, so (-6 , -1) is not a solution for that equation,
y = 3x - 5
put x = -6 and y = -1
-1 = 3 (-6) - 5
-1 = -18 - 5
-1 not= -23
LHS is not equal RHS, so (-6 , -1) is not a solution for that equation,
y= 1/6 x
put x = -6 and y = -1
-1 = -6/6
-1 = -1
LHS = RHS, so (-6 , -1) is a solution for that equation,
Hello from MrBillDoesMath!
Answer:
(1/3) x = (5/6)
Discussion:
I think you are asking for this equation:
(1/3) x = (5/6) => multiply both sides by 3
(1/3) 3 x = (5/6) 3 => as (1/3) *3 = 1
x = 5*3/6
x= 15/6
x = 5/2 = 2.5
Thank you,
MrB
Answer: 5.53
Step-by-step explanation:
this is a straight forward addition
2.5+3.03 =5.53
to be clear or to specify, use the decimal point to make the sum:
2.5 = 2 + 0.5 and 3.03 = 3 + 0.03
2+3= 5 and 0.5 + 0.03 = 0.53
5 + 0.53 = 5.53 (but this is to long just to make it clear)
Answer:
pretty good tired of the virus stuff but good
Step-by-step explanation:
Answer:
10 years and 10 months.
Step-by-step explanation:
The annually interest rate (ia) can be converted by monthly (im) by the equation:
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 +0.01
(1 + im)¹² = 1.001 (putting ln in both sides)
ln(1 + im)¹² = ln1.001
12*ln(1 + im) = 1.0x10⁻³
ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

1 + im = 1.00083
im = 0.00083 = 0.083%
For a investimenting, the final amount (A) can be calculated by:

Where R is the amount invested per month, i is the interest, and n the number of months:
160000 = 400 *
= 400
1.00083ⁿ - 1 = 0.332
1.00083ⁿ = 1.332 (applying ln in both sides)
n*ln1.00083 = ln1.332
8.3x10⁻⁴n = 0.2867
n = 345.4 months
345.4 months *1 yea12 months = 10 years and 10 months.