Math:
Step #1: Simplify both sides of the inequality.
<span>30><span>5z−15
</span></span>Step #2: Flip the equation.
<span><span>5z−15</span><30
</span>Step #3: Add 15 to both sides.
<span><span><span>5z−15</span>+15</span><<span>30+15
</span></span><span>5z<45
</span>Step #4: Divide both sides by 5.
<span><span>5z/5=45
Your Answer:
</span></span><span>z<9</span>
For f(x) = cos(x) we have:
- midline = 0
- amplitude = 1
- period = 2π
- graph = bottom graph on the second image.
<h3>
What are the midline, amplitude, period, and graph of the function f(x)=cos(x)?</h3>
For a general cosine function, we have:
f(x) = A*cos(kx + p) + M
Where:
- A is the amplitude.
- k is the frequency.
- p is the phase.
- M is the midline.
For the function:
f(x) = cos(x).
We can see that:
A = 1, M = 0, k = 1, p = 0.
So, the amplitude is equal to 1, and the midline is equal to zero.
Now we also need to get the period. By definition of the trigonometric functions sin(x) and cos(x), we know that the period of the two is equal to 2π.
Finally, we need to identify the graph of cos(x).
Notice that:
f(0) = cos(0) = 1.
So the graph of f(x) = cos(x) is the graph with an y-intercept equal to 1. Which is the bottom graph on the second image.
If you want to learn more about cosine functions:
brainly.com/question/17075439
#SPJ1
We can calculate a side of a triangle if the side's opposite angle, another side and its opposite angle are known using the Sine rule:
a/sin(A) = b/sin(B) = c/sin(C)
You would want to choose the graph B, for this is the most detailed graph that would Carla the most accurate answer.
S=k, a=4k-2
Annika rides her bike so she must travel some positive distance, ie a>0 so:
4k-2>0
4k>2
k>1/2 and that k is how far Sam rode, so Sam must ride his bike more than 1/2 kilometer.
