The answer would be 20-(3+2) because first you do what is inside the parentheses 3+2=5 and now you have to subtract 20-5=15. Cody’s change should be $15.
Answer:
Inverse of a function
Step-by-step explanation:
If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.
For example, given the following function:
y = 2x
If x=0 → y= 0
If x=1 → y= 2
If x=2 → y= 4
Now, if we find the inverse of the function:
y = 2x → x = 2y → y = x/2
Now:
If x=0 → y= 0
If x=2 → y= 1
If x=4 → y= 2
Comparing both cases, you will notice that the ordered pairs are effectively interchanged.
Answer:
y = -4/5x - 4
Step-by-step explanation:
y - y1 = m(x-x1)
4x + 5y = 20 ( subtract 4x on both sides)
5y = -4x + 20 (divide by 5 on each side)
y = -4/5x + 4
So we know one point is (0,4) y-intercept
now plug in (0,4)
y - 4 = -4/5(x-0) (Distribute -4/5 to x - 0)
y - 4 = -4/5x (now add 4 on each side)
y = -4/5x - 4
Here's some guidelines to help you:
For 1, 4, 5, and 6, they are 30-60-90 triangles. What's that you may ask? Well, it means that the sides have a predetermined length when one side is given. In #1 for example, you have a side of 11sqrt3, this means that "n" is 11 because in a 30-60-90 triangle, the longer side is the sqrt3 times the length of the shorter side. So to get the shorter side, we divide by sqrt3 to get 11. "m", or the hypotenuse, can be determined by taking twice the length of the shorter side. Since we figured out earlier that the shorter side is 11, 11 times 2 is 22. So the answer for #1 is n=11, m=22.
For 2 and 3, they are 45-45-90 triangles, triangles where the two lengths are the same and the hypotenuse is either leg length times sqrt2. In problem #2 for example, "y" must be 17 because one leg length is 17. "x", or the hypotenuse, is equal to 17sqrt(2) because 17 times sqrt(2).
You can apply all these rules to the other 4 problems I didn't explain.
Hope this long explanation clears your doubts!
The correct answer is C. t= 8ln(100)
Hope this helped! :)
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