Percent change = (new number - old number)/(old number) * 100
percent change = (54 - 48)/(48) * 100 = 6/48 * 100 = 0.125 * 100 = 12.5%
Answer:
a. 60/61
Step-by-step explanation:
With reference angle A
base(b) = 60
hypotenuse (h) = 61
Now
Cos(A) = b / h
= 60/ 61
Answer:
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is
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Answer: x = 72
Step-by-step explanation: Although the problem is saying "X over 8", this really signifies that the <em>x</em> is being divided by 8 which is what a fraction is, numerator divided by a denominator.
Let's first undo what has been done. Since our variable is being divided by 8, we'll undo that by multiplying by 8 on both sides. It's important to remember, whatever you do on one side,
you <u><em>must</em></u> do to the other side.
If you look now, the 8 in the numerator and the 8 in the denominator will divide out and it will leave us with our variable which is <em>x</em>. Working on the other side now, 9 x 8 is equal to 72 so <em>x = 72</em> is our answer.
We can check our answer by plugging a 72 back into the original equation. So we have 72/8 = 9 which is a true statement
so our answer is correct.
<h3>
Answer: B) 6 right and 9 down</h3>
We start with x-5. We want to add on some h value such that x-5+h = x+1, which solves to h = 6. So we must add on 6 to (x-5) to get to (x+1). This shifts the graph 6 units to the right.
As for the vertical shifting, we start with +7 and we end up at -2. The vertical distance is 7-(-2) = 9 units, so we must shift 9 units down.
