Answer:
499/999
Step-by-step explanation:
The decimal number written is:
0.499...
Such that these 3 decimals are repeated as:
0.499499499...
Let's define this number as k
k = 0.499...
Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)
we get:
1000*k = (1000)*(0.499...) = 499.499...
Now we can subtract the original number k, so we get:
1000*k - k = 499.499... - 0.499...
In this way, we remove the part after the decimal point:
1000*k - k = 499.499... - 0.499...
(1000 - 1)*k = 499
999*k = 499
Now we can divide both sides by 999
(999*k)/999 = 499/999
k = 499/999
The fraction notation of our number is 499/999 (and this is the simplest form)
Answer:
(a) 12 hours
(b) $220
Step-by-step explanation:
(a) First we plug in $364 for C
C=76+24h
364=76+24h
Subtract 76 from both sides
24h=288
Divide both sides by 24
h=12
She spent 12 hours fixing the drain
(b) First we plug 6 hours in for h
C=76+24(6)
Multiply it out
C=76+144
Add
C=220
It costs $220 for fixing a drain that takes 6 hours
Answer:
It is the last answer.
Step-by-step explanation:
If you graph this, there will be no point more negative than (-4/3, -5).
This means the x and y values must be greater than or equal to these values, as the fourth answer will show.
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
