Answer:
6/24 is 25 percent...... so 25% of his apples are bad
Step-by-step explanation:
X^2+8x=10, has to look like ()^2 = value:
(x+4)^2 = x^2+8x+16, you match first the x^2 and term with x, okay?
Now that 16 was not there (add zero!):
x^2+8x+16-16 = (x+4)^2 -16, finish the problem:
(x+4)^2 = 11+16=27, and x+4 = +/-sqrt(27) ---> x = -4+/-sqrt(27) = -4 +/-3*sqrt(3) if you prefer.
The quadratic formula is a direct answer:
x^2+8x-11=0
x = (-8 +/- sqrt( 8^4 -4*1*(-11)) ) / 2 = (-8 +/- sqrt(108))/2
sqrt(108)=sqrt(4*9*3) = 2*3*sqrt(3) = 6*sqrt(3)-->
x = (-8+/- 6*sqrt(3))/2 = - 4 +/- 3*sqrt(3)
Lesson: completing the square is longer and requires some algebra skills but it pays off. Quadratic formula does not need us to think! But it may be cumbersome. Both are good depending on the rpoblem.
Indeed the quadratic formula was invented completing the sqaure for a*x^2+b*x+c = 0
Finally, sqrt(3)~1.73, so you may approximate the solutions as -4+/-3*1.7 = -4 +/- 5.1 = -9.1, and 1.1
Answer:
Both graphs have been shifted and flipped
Both graphs have exactly one asymptote
Step-by-step explanation:
Choice A is incorrect since both graphs are not logarithmic functions. The graph of f(x) appears to be an exponential function.
Choice B is also incorrect since both graphs are not exponential functions. The graph of g(x) does not belong to the exponential family since y can take on negative values.
When the graph of f(x) is shifted downwards and flipped, we can obtain the graph of g(x).
Both graphs have exactly one horizontal asymptote
Answer:
Step-by-step explanation: