Answer:Yes
Step-by-step explanation:
It is a function if no values of x repeat
Answer:
Step-by-step explanation:
2/3 = 8/x+6
2 * ( x+6) = 8 * 3
2x + 2 * 6 = 24
2x + 12 = 24
2x = 24 -12
2x = 12
x = 12/2
x = 6
<u>Let's take this problem step-by-step</u>:
<u>What does this problem ask us to find</u>:
⇒ <em>height</em>
<em />
<u>Now consider the formula for the Surface Area of a Cylinder</u>:
⇒ πr² + 2πrh
- r: length of the radius
- h: length of the height
<u>Now consider the information given to us</u>:
- radius' length: 5 cm
- Surface area: 110π
<u>Let's plug everything into the surface area formula</u>:
Thus the height is 8.5 cm
<u>Answer: 8.5 cm</u>
<u></u>
Hope that helps!
Altho' I'm not using the fund. thm. of alg. specifically to determine the # of roots of 2x^2 + 4x + 7, polynomials of the nth degree all have n roots.
Completing the square: 2x^2 + 4x + 7
2(x^2 + 2x + 1 - 1) +7
2(x+1)^2 - 2 +7
2(x+1)^2 + 5
To solve for the roots, set the above = to 0 and solve for x:
2(x+1)^2 = -5 => (x+1)^2 = -5/2
x+1 = plus or minus sqrt (-5/2) => x+1 = plus or minus i*sqrt(5/2)
... and so on. As expected, this 2nd order poly has 2 roots. The roots in this case happen to be complex.