Answer:
not rounded is 44.2, rouned to the nearest tenth is 40
Step-by-step explanation:
First you would simplify the left side to get,
ln( ( 3x+1 ) / ( 5+x ) ) = ln 2
Then raise both sides as the power of e, so it would basically cancel out the ln's.
3x+1 / 5+x = 2
3x+1 = 2( 5+x )
3x+1 = 10+2x
x = 9
1. P(A) c. The probability that event A occurs.
2. P (A ∩ B) a.<span>The probability that both event A and event B occur.
3. </span>P (A ∪ B) <span>d. The probability that either event A or event B occurs
</span>4. 1 - P (A ∩ B) e. <span>The probability that both events A and B do not occur together, but either may occur by itself
</span>5. 1 - P (A ∪ B) f. <span>The probability that neither event A or event B occurs
</span>6. P (A | B) b.<span>The probability that event A occurs given the fact that event B occurs</span>
Answer:
the linear function gives us the points
(0,3)
(4,0)
(8,-3)
find the equation
hm
find slope
(y2-y1)/(x2-x1)
for (0,3) and (4,0)
slope=(0-3)/(4-0)=-3/4
y=-3/4x+b
given
(0,3)
y=-3/4x+3
so sub -3/4x+3 for y in other equation
(-3/4x+3)^2+x^2=4
expand
9/2x^2-9/2x+9+x^2=4
11/2x^2-9/2x+9=4
times 2 both sides
11x^2-9x+18=8
minus 8 both sides
11x^2-9x+10=0
factor
or use quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
2a
−b+/−
b
2
−4ac
11x^2-9x+10=0
x=\frac{-(-9)+/- \sqrt{(-9)^2-4(11)(10)} }{2(11)}
2(11)
−(−9)+/−
(−9)
2
−4(11)(10)
x=\frac{9+/- \sqrt{81-440} }{22}
22
9+/−
81−440
x=\frac{9+/- \sqrt{-359} }{22}
22
9+/−
−359
we see we have no real roots
there are no intersection points
#Carry on learning
#Correct me if I'm wrong