Answer:
Step-by-step explanation:
We have f(x) and g(x). We are to evaluate each of these functions at the domain values given (1, 2, 3, 4, 5, and 6) and see where the output is the same.
and f(1) = 15
and f(2) = 16
and f(3) = 15
and f(4) = 12
and f(5) = 7
and f(6) = 0
Now for g(x) at each of these domain values:
g(1) = 1 + 2 and g(1) = 3
g(2) = 2 + 2 and g(2) = 4
g(3) = 3 + 2 and g(3) = 5
g(4) = 4 = 2 and g(4) = 6
g(5) = 5 + 2 and g(5) = 7
g(6) = 6 + 2 and g(6) = 8
It looks like the outputs are the same at f(5) and g(5). Actually, the domains are the same as well! f(5) = g(5)
Supplementary angles need to add up to 180 degrees.
Subtract Y from 180:
X = 180 - 156 = 24
X = 24 degrees
Answer:
- 
Step-by-step explanation:
Step 1: Add the numerator fractions.
2/5 + 3/10
Here we have to find LCD, the LCD of 5 and 10 is 10
(2*2) + 3 4 + 3
Therefore, 2/5 + 3/10 = --------------- = ------------------
10 10
= 7/10
Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get
7/10
= ----------
-7/9
If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.
The reciprocal of -7/9 is -9/7
Step 3: Now multiply 13/10 and -9/7
= (7/10) x (-9/7)
= -9/10
=-9/10
The answer is -
Answer:
B. (2,-5)
Step-by-step explanation:
The vertex of the function can be found in the most lower value that the function can have.
Since we have an ABS function involved we need to analyse it at first
We know that |x| = x if x> 0 and |x| = -x if x< 0
if we now change x by x-2 (the content of our ABS function involved, we have the following
|x-2| = x-2 if x-2> 0
|x-2| = -x+2 if x-2< 0
Those inequaiities have a common solution
x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.
So by evaluating x=2 in the given function we will obtain its vertex.
leading to f(2)=6 |2-2|-5= -5
Hence the point (2,-5) is the vertex of our function
