Number 4 would be: C
And number 5 would be: C
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Answer:
x = √(3^125/ 5)
approx 2.9552445 * 10^29.
Step-by-step explanation:
2 log3 x + log3 5 =125
log3 x^2 + log3 5 = 125
log3 (5x^2) = 125
3^125 = 5x^2
x^2 = 3^125/ 5
x = √(3^125/ 5)
This is a huge number
An approximation of it is 2.9552445 * 10^29.
The first two rows of coefficients are identical, so by inspection, the determinant is 0.
First step is to factor. With a polynomial function in the form ax² + bx + c = f(x), we have to find what factors of term C have a sum of term B.
So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.
f(x) = x² + 9x - 10x - 90
Now we group together and pull out GCFs.
f(x) = (x² + 9x) + (10x - 90)
f(x) = x(x² + 9) - 10(x + 9)
f(x) = (x - 10)(x + 9)
Now, set each factor equal to zero.
x - 10 = 0, x + 9 = 0
For the first equation you are going to add 10 to both sides to get x by itself. Subtract 9 from both sides in the second equation for the same reason.
x = 10, x = -9
Your zeros are at x = -9, 10 or at the ordered pairs (-9, 0) and (10, 0).
You have 3 coins and you want 2 get heads, so you make the 2 and 3 a probability and you get 2/3
