Answer:
(2)
Step-by-step explanation:
Our logarithmic expression is: 
.
Remember the logarithmic property that ln(a/b) = lna - lnb. So, we can write this as:
Also, we can write square roots as powers of one-half, so √e = 
. There's another log property that: 
. We can apply that here for both the √e and the y³:
Finally, note that ln(e) is just 1, so we have:
The answer is thus (2).
<em>~ an aesthetics lover</em>
Answer:
7
Step-by-step explanation:
126 g is what you originally had which=60% of whats left
you have to find out how many 10 wedges she can cut from the cheese that is left over
Work Shown:to find how much is left you have to multiply 126 by 60% remember when you multiply you have to move the decimal, and decimal is moved twice, so the answer would be 75.60 after you were done solving it and the number that is closest would be 70 so you would multiply 10 by 7=70 and the reason you pick that is because it is closer to 75.60.
So 7 is the answer.
Answer: x = 35
Step-by-step explanation:
since its a 90 degree angle the equation is equal to 90
2x + 20(-20) = 90(-20)
2x/2 = 70/2
x = 35
hope this helps :))
X:{a, b, c}, because the numbers(or letters in this problem) cannot repeat.
Step-by-step explanation:
Explanation:
Given:
−3x2+12x+1=0
This is in the form:
ax2+bx+c=0
with a=−3, b=12 and c=1
In order to decide which method to use, we can first examine the discriminant:
Δ=b2−4ac=122−4(−3)(1)=144+12=156
Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.
So there is no rational factorisation and we can discount the use of an AC method or similar.
We can use the quadratic formula or we can complete the square.
If we choose to use the quadratic formula, then we find:
x=−b±√b2−4ac2a
x=−b±√Δ2a
x=−(12)±√1562(−3)
x=−12±2√39−6
x=2±√393
When completing the square, note that b=12 is already divisible by a=−3 and by
