Answer:
4/9
Step-by-step explanation:
Answer:
sum is 1,2,4,8,16,32,64,128,256,512
Answer:
Figure D
Step-by-step explanation:
we know that
If the scale factor of the dilation is 1/2, that means the dilation is a reduction
so
the answer is between the Figure C and Figure D
but
a rotation of 180° eliminate the Figure C
therefore
The answer is the Figure D
<span>y = 5(12) - 3(4) + 8
y = 60 - 12 + 8
y= 56</span>
<h3>2
Answers: Choice C and choice D</h3>
y = csc(x) and y = sec(x)
==========================================================
Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
- y = cot(x)
- y = sin(x)
- y = tan(x)
So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
------------
If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
