Answer:
x = 2
y = -1
Step-by-step explanation:
Since it gives you the value of y already, just plug that into the equation, like so:
y = 4x - 9
x - 3 = 4x - 9
<em><u>Subtract the x from both sides:</u></em>
x - 3 = 4x - 9
-x - x
__________
-3 = 3x - 9
<em><u>Then, add 9 to both sides:</u></em>
-3 = 3x - 9
+9 + 9
________
6 = 3x
<em><u>Divide both sides by 3:</u></em>
2 = x
<em><u>Now plug in x for y:</u></em>
y = x - 3
y = 2 - 3
y = -1
let's firstly, convert the mixed fractions to improper, and then do equation.
![\bf \stackrel{mixed}{3\frac{4}{5}}\implies \cfrac{3\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{19}{5}} ~\hfill \stackrel{mixed}{2\frac{5}{7}}\implies \cfrac{2\cdot 7+5}{7}\implies \stackrel{improper}{\cfrac{19}{7}} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B4%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%205%2B4%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B19%7D%7B5%7D%7D%0A~%5Chfill%0A%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B5%7D%7B7%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%207%2B5%7D%7B7%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B19%7D%7B7%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D)

Answer:
18 minutes
Step-by-step explanation:
A = A₀ (½)^(t / T)
where A is the final amount,
A₀ is the initial amount,
t is the time,
and T is the half life.
A = 140 when t = 10. Solve for the half life:
140 = 700 (½)^(10 / T)
0.2 = ½^(10 / T)
log 0.2 = (10 / T) log 0.5
10 / T = 2.32
T = 4.31
When A = 40, t is:
40 = 700 (½)^(t / 4.31)
0.057 = ½^(t / 4.31)
log 0.057 = (t / 4.31) log 0.5
t / 4.31 = 4.13
t = 17.8
Rounded to the nearest whole number, it takes 18 minutes.
H ( x ) = - 6 + x
m = 1 ( the slope )
b = - 6 ( y - intercept )
x - intercept:
0 = - 6 + x
x = 6
The graph is going through Quadrants: I, II and IV.
Answer:
B ) Quadrant II, because the slope is positive and y-intercept is negative.
Answer:
The second answer choice.
Step-by-step explanation: