<span>4x + 5 = 21
4x = 21 - 5
4x = 16
x =16/4
x =4</span>
Well, try
to find the solution for this…
-0.2x⁵ + 0.04x⁴ - 0.0625x³ - 2x² + 0.3x + 4=0
<span>The answer
is 1.33. How would you figure it out without a computer?
In order to find all the roots of a polynome with a grade lower than 2, we need
to know at least 1 root (this polynome has grade 5). We can try with the
divisors of the constant (4 is the constant), which are: 1,-1,2,-2,4 and -4.
But no, none of them verifies the equation! So it will be of hard to find a
root. That’s because there are too many fractions, and a fraction can come from
a variety of divisions. It’s even more difficult to find a root when there are
irrational numbers among the roots (such as the square root of 2, or half a pi,
or e). So, if we don’t know any of the roots, we can’t work with the Ruffini
rule.</span>
So in this
case I suggest to put this in a graphic software:
y=-0.2x⁵ + 0.04x⁴ - 0.0625x³ - 2x² + 0.3x + 4
And there
you have the plot. Then you click in “roots” and it will tell you the point: (1.33,0).
So that’s how you know 1.33 is the answer.
Answer:
See below
Step-by-step explanation:
I believe that you only had to do letters F, H, and J. In that case, let's go over each one!
F: For isolating, we need to get rid of the 1/2 first. Let's multiply each side by 2:
After this, we just subtract from each side to get . Dark Blue is correct! Let's now plug in those numbers below:
G: Let's isolate the vw^2 on one side by subtracting y from each side:
Let's now divide each side by v, then put each side under a square root to get our final answer:
Orange is correct! Again, let's solve the problem underneath:
w=
H: This one has some stuff that we haven't worked with quite yet (like terms), but our approach is the same: isolate c on one side of the equation.
Purple is correct! Let's solve the problem:
<span>The incenter of a triangle is located at the point of intersection of the triangle's angle bisectors. So the punctual answer is Angle Bisectors. I hope this can help you greatly</span>