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katovenus [111]
3 years ago
11

Write the quadratic equation in standard form and then choose the value of "b." (2x - 1)(x + 5) = 0

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0
If we were to foil
after experieence

we know
ax²+bx+c=0

and
in form
(ax+b)(cx+d)=0
if we expand it, we get
acx²+bcx+adx+bd=0
or
(ac)x²+(bc+ad)x+(bd)=0
compare to
ax²+bx+c=0
we notice that the middle terms (x terms) are

b=(bc+ad)
so

in form
(2x-1)(1x+5)
b=bc+ad=(-1*1+2*5)=-1+10=9

b=9
or you could just expand it
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The half-life of a radium isotope is 1,600 years. after 4,800 years, approximately how much of an original 10.0kg sample of this
Scorpion4ik [409]
1/2 * 10 = 5 kg is left after 1600 years

after 2 more periods of 1600 years  amount left = 5 * 1/2 * 1/2  =  5/4 kgs

Answer:-    after 4800 years there is 1.25 kgs left 
6 0
3 years ago
What is the solution of the system of equations​
Alona [7]

Answer:

A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system.

Step-by-step explanation:

5 0
3 years ago
Use the quadratic formula to solve 3x2 + 5x + 2 = 0.D. x = 2, –3
Neporo4naja [7]
Quadratic Formula:


         -b  +/-  √b² - 4ac
x = --------------------------
                 2a


In your equation 3x² + 5x + 2 = 0:

a = 3
b = 5
c = 2

Now, plug in these values into the formula.

         -5 +/- √5² - 4(3)(2)                        -5 +/- √25 - 4(6)
x = --------------------------------  ⇒  x = -----------------------------
                   2(3)                                               6
                                                                 
         -5 +/- √25 -24                    -5 +/- √1                  -5 +/- 1
x = ------------------------  ⇒  x =  ---------------  ⇒  x = --------------
                 6                                     6                            6

               -5 +/- 1
Split x = ------------ into two solutions by solving it.
                    6

        -5 + 1         -4
x = ------------ = ------ 
            6             6
 
       -5 - 1          -6
x = ----------- = ------ = -1
           6             6

The two final solutions are x = -1 and x = -4/6


8 0
3 years ago
1/2*(6*1+7)+11 show the result
fomenos
Well I got 17.5
You would start with                              6x1=6
Then you would add 7:                         6+7=13
Next you would multiply 13 by (1/2):    13(1/2)=6.5
Finally you would add 11 to 6.5:           6.5+11= 17.5
3 0
3 years ago
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