Answer:
x<-1
Step-by-step explanation:
12x>7(4x+5)-19
<u><em>Solve the right side</em></u>
12x > 28x+35-19
12x > 28x+16
<u><em>Make x the subject</em></u>
12x-28x > 16
-16x > 16
-x > 16/16
-x > 1
Multiplying by -1 on both sides
x < -1
If you multiply ">" with minus sign, its direction changes. It is similar to switching the positions of x and -1.
<u><em>Simplify</em></u>
x < -1
The inequality of x is x<-1
Answer: =0.39 J
Step-by-step explanation:
Is this slope-intercept form?
Answer:
The real roots are
and 
The sum of the squares of these roots is 
Step-by-step explanation:
The given quadratic equation is
has two real roots.
To find the roots .

Dividing the above equation by 2


For quadratic equation
the solution is 
Where a and b are coefficents of
and x respectively, c is a constant.
For given quadratic equation
a=4, b=6, c=-7









The real roots are
and 
Now to find the sum of the squares of these roots
![\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B-3%2B%5Csqrt%7B37%7D%7D%7B4%7D%2B%5Cfrac%7B%28-3-%5Csqrt%7B37%7D%29%7D%7B4%7D%5Cright%5D%5E2%3D%5Cfrac%7B-3%2B%5Csqrt%7B37%7D-3-%5Csqrt%7B37%7D%7D%7B4%7D)


![\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3}{2}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B-3%2B%5Csqrt%7B37%7D%7D%7B4%7D%2B%5Cfrac%7B%28-3-%5Csqrt%7B37%7D%29%7D%7B4%7D%5Cright%5D%5E2%3D%5Cfrac%7B-3%7D%7B2%7D)
Therefore the sum of the squares of these roots is 
The same as last time
Step-by-step explanation: