Answer:
x < -20
Step-by-step explanation:
x / -4 + 14 >20
Subtract 14 from each side
x / -4 +14-14 > 20 -14
x / -4 > 6
Multiply each side by -4, remembering to flip the inequality
x / -4 * -4 < 6 * -4
x < -20
Answer: y=2x
Step-by-step explanation:
Let's solve for y.
Step 1: Add -2x to both sides.
2x−y+−2x=0+−2x
−y=−2x
Step 2: Divide both sides by -1.
-y/-1 = -2x.-1
y=2x
Therefore, the y=mx+b form of this question would be y=2x
Well you are given the roots.
if we have 3 it would.have to be x^3. So something like:
y = ax^3 + bx^2 + cx + d
this could.also be written:
y = (x + a) (x + b) (x + c)
when you are able to write it like this, we know that the opposite of a, b, and c are roots. this is because if we can make any of the insides of the 3 parenthesis equal 0 then y = 0 and that x.is a root. Well if we know the 3 roots that x will be then we just have to figure out the a, b, and c. So let's plug our roots in.
y = (-1 + a) (-5 + b) (-3 + c)
now we have to make each parenthesis equal 0 to find what a, b, and c should be. It is obvious a = 1 to make.that one zero and b = 5 and c = 3. So we know a, b, and c. now let's plug.those into our first equation.
y = (x + 1) (x + 5) (x + 3)
this is your equation. You can multiply out if necessary
YES
We can work out the inverse using Algebra. Put "y" for "f(x)" and solve for x:
<span><span>The function: f(x)=2x+3
</span><span>Put "y" for "f(x)": y=2x+3
</span><span>Subtract 3 from both sides:
y-3=2x
</span><span>Divide both sides by 2:
(y-3)/2=x
</span><span>Swap sides: x=(y-3)/2</span><span>
</span><span><span>Solution (put "f-1(y)" for "x") :</span> <span>f-1(y)</span>=(y-3)/2</span></span>
I'm pretty sure this is correct.
