Answer:
20 kilograms
Step-by-step explanation:
When a line and a curve are tangent to each other, they are joined together by 1 point (x,y). So, you equate both equations either in terms of x or y. For this problem, let's equate in terms of y.
y = k - x
y = x² + 3x + 1
k - x = x² + 3x + 1
k = x² + 3x + x + 1
k = x² + 4x + 1
This would be the value of k. Since we are not given the common point, it can only be expressed in terms of x or y.
Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).
However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).
In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.
Answer:
about 37% chance or, rounding to the nearest tenth, 36.5% chance
Step-by-step explanation:
since there are only 6 black face cards out of 52 cards, so the fraction is 6/52
there are also 13 spade cards out of 52 cards, so the fraction is 13/52
to find the percent you have to add the two fractions becuase all you want to do is draw a black face card or a spade card. when you add them you get 19/52
then dividing the fraction gives you .3653846154 on my calculator :)
Answer:
gh = x+9
Step-by-step explanation:
