The equivalent ratios are A and D.
Here's an explanation:
When you look at D, you see that 12 is a multiple of 6, and 16 is a multiple of 8. So you know that it looks like they're equivalent. Then you test it out, 12/2=6. 16/2=8. so 12:16 = 6:8. Eyeballing it first can save time sometimes.
Y=3/2x-1.5 would be the equation
Let's check the answer
Start with equation (1). Plug in (x,y) = (-10,-1)
x + 5y = -15
-10 + 5y = -15 ... replace x with -10
-10 + 5(-1) = -15 ... replace y with -1
-10 - 5 = -15
-15 = -15 ... true equation
So we've confirmed one equation so far. Let's check the other equation
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Start with equation (2). Plug in (x,y) = (-10,-1)
y = (1/5)*x + 1
y = (1/5)*(-10) + 1 ... replace x with -10
-1 = (1/5)*(-10) + 1 ... replace y with -1
-1 = -2 + 1
-1 = -1
Since both equations are true when (x,y) = (-10,-1), this confirms the answer. Nice work on getting the correct answer.
Visually we can see the two lines crossing at (-10,-1). See the attached image. Note: 1/5 = 0.2 so the second equation can be written as y = 0.2x+1
Answer:
Domain of the function is Option 1. (-∞,1)∪(1,∞).
Step-by-step explanation:
In the question two functions have been given as
f(x) = (x-1)/2x and g(x) = (x-1)/x
Now we have to find a function defined as (f Ф g(x))
We put the value of g(x) in f(x) to find a new function defined as fФ(g(x))
⇒ fФ(g(x)) =
Now we multiply numerator and denominator by x.
fФ(g(x) =
=
The function is defined only if (x-1)>0 ⇒ x >1
and (x-1)<0 ⇒ x <1
So the domain will be the combined set of ( 1,∞) and (-∞,1) or (1,∞)∪(-∞,1).
Step-by-step explanation:
sohcahtoa
sin (x) = 12/20
cos (x) = 16/20
tan(x) = 12/16
sin (z) = 16/20
cos (z) = 12/20
tan(z) = 16/12