In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
The formula for cosine is adj/hyp. For angle B, 10 is the adjacent and 24 is the opposite. The hypotenuse ( in this case, 26) is the longest side. the ratio for angle b would be 10/26.
Remark
The trick to this question is realizing what you took 1/3 of. Did you take it of the 150000 or is it 1/3 of some total you have to find. I don't think you could come up with a third choice.
It turns out that the answer is 1/3 of a number you don't know.
Equation
(1/3) x = 150000 Multiply both sides by 3
3*(1/3) x = 150000 * 3
x = 150000 * 3
x = 450000
Conclusion
The amount the company makes is 450000 dollars / year.
SOLUTION
Consider the property, opposite angle of a cyclic quadrilateral are supplementary
hence
Recall that
Hnece, we have that
Then
Hence
x=17
Since
Therefore
The measure of angle NOP is 68⁰
Answer; 68⁰ (The fourth Option )
Answer:
j(x) = [ (3/10) cookie/student ]x
Step-by-step explanation:
The "unit rate" here is
3 jumbo cookies
------------------------- = (3/10) cookie/student
10 students
Then the number of cookies needed to feed x students is
j(x) = [ (3/10) cookie/student ]x
