Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
Answer:
6480
Step-by-step explanation:
18% of 1500 is 270 x 24 for each month of 2 years and you get 6480
<h2>
What is G(x) ?</h2>
Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.
The equation for cosine is the adjacent/hypotenuse. Looking at our L, the letter right next to it is the lowercase l, so that is the adjacent. The hypotenuse is always the side opposite the right angle, so the hypotenuse in this question is the lowercase m. The answer for the first question, then, is k/m. For the second question, you are asked to find the side of q. In questions like these, always start from the angle given to you. Start from the 51 degrees. Right next to the 51 degrees is q, so q is the adjacent. We also have a number, 134, which is opposite the given angle 51. Now use the trigonometric ratio that involves adjacent and opposite, which is tan. Therefore, tan51 is the right answer. Hope this helps! Ask me for more help.
