The two inequalities are :
option B and option C
Explanation:
Daniel moves no more than 30 of his sheep and goats into another field. This means the summation of sheep and goats will be at maximum 30.
that is why it is
And more than 7 of his animals are sheep means sheep are greater than 7. that is why =
General Idea:
The exponential function will be of the form.
When b>1, the function indicates the exponential growth.
When 0<b<1, the function indicates the exponential decay.
Applying the concept:
We are given the graph of , here b = 2.
The question ask the characteristic of the function when b is in the interval . The attached figure shows few graphs of exponential function whose b value is less than 2 and greater than 1. We can notice that graph increases at slower rate, that is change in y with respect to change in x is getting slower as we reduce the values of b less than 2 and greater than 1.
Conclusion:
"The graph will increase at a slower rate"
f(x) = 2(x^2 + 14x + ) - 5 2 is taken out of first 2 terms.
f(x) = 2(x^2 + 14x + (14/2)^2 ) - 5 - 2(14/2)^2
<em><u>2 steps </u></em>
f(x) = 2*(x + 7)^2 - 103
The graph is of the original quadratic.
