<h3>
Answer: -2</h3>
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Explanation:
We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).
Comparing x+1 to x-k shows that k = -1
It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.
Plug this k value into the function
f(x) = 2x^6 + 3x^5 - 1
f(-1) = 2(-1)^2 + 3(-1)^5 - 1
f(-1) = 2(1) + 3(-1) - 1
f(-1) = 2 - 3 - 1
f(-1) = -1 - 1
f(-1) =-2
The remainder is -2
We can confirm this through synthetic division or polynomial long division.
X/x-2 >= 0 equals x/x >= 0+2 simplified x >=2
Answer:
The given triangle is NOT A RIGHT ANGLED TRIANGLE.
Step-by-step explanation:
Here, the three given sides of the triangle are:
8 units, 10 units and 12 units
Now, for any triangle to be a right angle:
by the PYTHAGORAS THEOREM:
The longest of all sides id the hypotenuse.
⇒ H = 12 units
Let us assume, B = 8 units, P = 10 units
Now, here checking the condition:
Hence, the given triangle is NOT A RIGHT ANGLED TRIANGLE.
-3(5/6)v - 1 = -6(3/4)
To start off, we can simplify by multiplying the fractions with their whole numbers.
-15/6x - 1 = -18/4
Further simplify
-5/2x - 1 = -9/2
Now we can multiply everything times 2 to get rid of the fractions
-5x - 2 = -9
Now we will isolate the x value. Add 2 to both sides.
-5x = -7
Finally, divide all by -5 to get the final answer.
x = 7/5
Hope I helped you out!
