E=13,000 and<span>E=1/50R(1650-R)</span>
<span>
</span>
<span />0.02R(1650-R)=13000
<span>(0.02R)(1650)-0.02R²=13000</span>
<span /><span>0.02R²-33R+13000=0</span>
<span>R2-1650R+650000=0</span>
<span>SOLVE W QUAD FORMULA
</span>
She will need 12 seconds because -20•12=-240
Answer:
3.876943x10^9
7.317x10^-4
Step-by-step explanation:
3,876,943,000
Put the decimal at the end
3,876,943,000.
Move it so only 1 number is before the decimal
3.876943000
We moved it 9 places, so that is the exponent
We moved it to the left, so the exponent is positive
The three zeros at the end can be dropped because they are the last numbers to the right of the decimal
3.876943x10^9
0.0007317
Move it so only 1 number is before the decimal
00007.317
We moved it 4 places, so that is the exponent
We moved it to the right, so the exponent is negative
The four zeros at the left can be dropped because they are the last numbers to the left of the whole number
7.317x10^-4
<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.
I thought I'd try finding roots of this function using synthetic division. See below:
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.
Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.
Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.
By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
