Answer:
x = -0.683 (3dp)
x = -7.317 (3dp)
Step-by-step explanation:
<u>Step 1: Apply the quadratic formula</u>
(-b±(
)) / 2a
a = 1 <em>(x²)</em>
b = 8 <em>(8x)</em>
c = 5 <em>(5)</em>
(-8±(
)) / 2 x 1
<u>Step 2: Simplify</u>
(-8±(
)) / 2
<u>Step 3: Solve</u>
You need to replace the ± with first a + and then a -.
(-8+()) / 2 = -0.683 (3dp) = x
(-8-()) / 2 = -7.317 (3dp) = x
Hope this helps!
Answer: 15
Step-by-step explanation:
(r+1)th term of 
is given by:-
For 
, n= 6
![=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2](https://tex.z-dn.net/?f=%3D%5C%20%5Cdfrac%7B6%21%7D%7B4%212%21%7Da%5E4b%5E2%5C%20%5C%20%5C%20%5B%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B6%5Ctimes5%5Ctimes4%21%7D%7B4%21%5Ctimes2%7Da%5E4b%5E2%5C%5C%5C%5C%3D3%5Ctimes5a%5E4b%5E2%5C%5C%5C%5C%20%3D15a%5E4b%5E2)
Hence, the coefficient of the third term in the binomial expansion of is 15.
Answer:
The price for the first 100 customers is $142.00.
Step-by-step explanation:
Step 1: 10% of 179.99 = 17.99
Step 2: $179.99 - $17.99 = $162.00
Step 3: $162.00 - $20.00 = $142.00
Answer:
Yes
Step-by-step explanation:
4 < 3(2) + 6
4< 6+6
4 < 12
Answer:
{(-1,0),(-8, 9), (7,0), (1,3)}
Step-by-step explanation:
number 3 is the only one with no colliding outputs.
