If you flipped a coin 3 times:{
Total number of possible outcomes = 2³ = 8
Total number of outcomes with at least 2 tails = 4
{HTT , THT, TTH, TTT}
P(at least 2 tails ) = 4/8 = 1/2
Answer: 1/2
All triangles have angles that add up to 180 so the first one add 76 and 59 and subtract that from 180 to get the missing angle remember EACH triangle is 180 degrees when ALL the angles are added together on the ones with x solve for x then figure out the answer from there hope this helps
Answer:
f(2)=0. The third option is correct.
Step-by-step explanation:
Suppose we have a polynomial called f(x) and we know (x-2) is a factor of f. This means that we can express f(x) as:
f(x)=(x-2)\cdot g(x)
Being g(x) another unknown function.
Option 1: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=-2. Incorrect
Option 2: f(-2)=(-2-2)\cdot g(-2)=-4\cdot g(-2). Since we don't know the value of g(-2), we cannot assure f(-2)=0. Incorrect
Option 3: f(2)=(2-2)\cdot g(2)=0\cdot g(0)=0. Regardless of the value of g(0), f(0) must be 0. Correct
Option 4: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=2. Incorrect
So subsitue and try so
f(g(x))=2(7x+1)+2
g(f(x))=7(2x+2)+1
multiply them out
f(g(x))=2(7x+1)+2=14x+2+2=14x+4
g(f(x))=7(2x+2)+1=14x+14+1=14x+15
14x+15>14x+4
therefor
g(f(x))>f(g(x))
the answer is D g(f(x)) produces the greatest output
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. The given option the option A matches correctly with the above polynomial equation which is,
Hence the option A is the correct option.
<h3>
Given information-</h3>
The given polynomial equation in the problem is,
<h3>
Polynomial equation </h3>
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.
In the above polynomial equation the variable are<em> x </em>and <em>y </em>and the highest power of the variable <em>x</em> is four and highest power of the variable <em>y</em> is three.
Arrange the polynomial equation in the power of the variable <em>x. </em>Thus,
Arrange the polynomial equation in the power of the variable <em>y. </em>Thus,
From the given option the option A matches correctly with the above polynomial equation which is,
Thus the option A is the correct option.
Learn more about the polynomial equation here;
brainly.com/question/25958000
