Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
To find the discriminant of the following equation you have to remember tha main formula : ax^2 +bx + c and the one for discriminant is <span>b^2 -4ac
So, now we can solve it </span>
, so the discriminants is 0 :)
Hope it's clear!
Answer:
eln2(x)ln(x4)/x
I HOPE THIS HELPED!
Step-by-step explanation:
The question is incomplete, here is the complete question:
Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.
<u>Answer:</u> The half life of the sample of phosphorus-32 is 
<u>Step-by-step explanation:</u>
The equation used to calculate the half life of the sample is given as:
where,
m(t) = amount of sample after time 't' = 356 g
= initial amount of the sample = 500 g
t = time period = 7 days
h = half life of the sample = ?
Putting values in above equation, we get:
Hence, the half life of the sample of phosphorus-32 is
X/4 < = -3/2...multiply both sides by 4
x < = -3/2 * 4
x < = -12/2
x < = -6.......graph : 1 (because less then shades to the left....and an equal sign in the problem means the dot is solid)
7x/9 > - 14/3 ....multiply both sides by 9
7x > - 14/3 * 9
7x > -42...divide both sides by 7
x > -42/7
x > - 6......graph : 4 (because greater then shades to the right...and no equal sign means it is an open dot)
-75x/4 > 225/2...multiply both sides by 4
-75x > 225/2 * 4
-75x > 450...divide both sides by -75, and change the sign
x < -450/75
x < - 6.......graph : 2 (because less then is shaded to the left...and no equal sign means an open dot)
2x/3 > -16/3...multiply both sides by 3
2x > -16/3 * 3
2x > -16 ...divide both sides by 2
x > -16/2
x > -8......graph : 3 (because greater then shades to the right....and no equal sign means an open dot)
