Answer:
option 2
f(3+4)
Step-by-step explanation:
To understand this problem, what we can do is solve and compare with the results they give us.
f(x)=a^x f(3) * f(4)
f(3) = a^(3) f(4) = a^(4)
we replace
f(3) * f(4) = a^3 * a^4
as they are powers of the same base
f(3) * f(4) = a^(3+4)
f(3) * f(4) = a^7
Now let's do it with the options they give us
1. f(3^4) f(x)=a^x
3^4 = 81 x = 81
f(81) = a^81 wrong option
2. f(3+4) f(x)=a^x
3+4 = 7 x = 7
f(7) = a^7
correct option
3. f(3*4) f(x)=a^x
3*4 = 12 x = 12
f(12) = a^12 wrong option
Answer:
B.
Step-by-step explanation:
there is not much to explain.
a strong correlation means there is a direct connection.
so, a change in a causes immediately a change in b.
and positive means that the changes go in the same sign direction. increase => increase. decrease => decrease.
Answer:
<h2>x = -1 and -4.</h2>
Explanation is given in the above photo.
The answer is 26 i had the question before and i got it correct
Answer:
r = √13
Step-by-step explanation:
Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms: x^2 + 6x + y^2 -2y = 3. Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."
We need to "complete the square" of x^2 + 6x. I'll just jump in and do it: Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x: x^2 + 6x + 3^2 - 3^2. Then do the same for y^2 - 2y: y^2 - 2y + 1^2 - 1^2.
Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2. Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1. Making these replacements:
(x + 3)^2 - 9 + (y - 1)^2 -1 = 3. Move the constants -9 and -1 to the other side of the equation: (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13
Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r: r^2 = 13, so that the radius is r = √13.
