Answer:
c > -7/8
Step-by-step explanation:
Add 2 for an inequality that compares to zero:
2x^2 -3x +(c+2) > 0
This will be true when the discriminant is negative. For the quadratic ...
ax^2 +bx +c
the discriminant is ...
b^ -4ac
We want this to be negative:
(-3)^2 -4(2)(c+2) < 0
9 -8(c +2) < 0
9 -8c -16 < 0
-7 < 8c
-7/8 < c
The given inequality will be true for all values of c greater than -7/8.
Answer:
hii
Step-by-step explanation:
follow me please gugs
Answer:
The system of inequalities is
Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let
Find the slope of AB
The equation of the line into slope intercept form is equal to
we have
----> the point A is the y-intercept
substitute
-----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is
step 2
Find the equation of the dashed red line
Let
Find the slope of CD
The equation of the line into slope intercept form is equal to
we have
----> the point C is the y-intercept
substitute
-----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is
The system of inequalities is
This problem looks really scary am I right? Well, actually it isn't too bad.
Let me explain something really quick.
When two like terms are over each other they equal 1. For instance 3/3. In the case of two numbers with powers they can also cancel out if they are the same number to a power. Here is why:
3² / 3² = (3*3) / (3*3) = 9/9 = 1
What if the powers are unequal?
3²/3 = (3*3) / 3 = 9 / 3 = 3
In the case where the powers are unequal (in the case of the example we have a power of 2 and a power of 1) we simply SUBTRACT the powers. In the case where the bottom is bigger you'll have the following problem:
3²/3³ = (3*3) / (3*3*3) = 9 / 27 = 1/3
If you have trouble understanding the subtraction simply write out the multiplication. Then if you see numbers which are equal on the top on the bottom cross them out till there are no equal terms on the top or bottom. In the case above you can cross out the 2 threes at the top and are left with 1 three at the bottom.
For our problem: (Note the ^ symbol is the same as saying being brought to the power of... so it's equivalent to the problem you see on your screen!)
5^4 / 5^6 = (5*5*5*5) / (5*5*5*5*5*5) = 1 / (5*5) = 1 / 25
Our answer is:
1/25
