Answer:
Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f.
Step-by-step explanation:
Answer:
x=16
(5x + 27)° =5(16)+27=80+27=107
(5x – 7)º= 5(16)-7=80-7=73
Step-by-step explanation
supplementary angle=180
(5x + 27)° + (5x – 7)º=180
5x+27+5x-7=180
10x+20=180
10x=180-20
10x=160
x=160/10
x=16
(5x + 27)° =5(16)+27=80+27=107
(5x – 7)º= 5(16)-7=80-7=73
107+73=180
Answer:
42°
Step-by-step explanation:
This is right triangle and sum of 2 angles is 90°:
y+48°=90°
so y= 90°- 48°= 42°
See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5
<h3>How to plot the numbers on the number line?</h3>
The numbers are given as:
5.3, 5 1/5 and 5
We start by representing the numbers as decimals (i.e. real numbers).
So, we have:
5.3, 5.2 and 5
Reorder the numbers in ascending number (i.e. from least to greatest)
So, we have
5, 5.2 and 5.3
Next, we plot the numbers on a number line using a scale of 0.1
This can be visualized as
5 5.2 5.3
See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5
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Answer:

Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):

It follows that b=0
The equation now takes the form:

Using the point (12,5):

We find m:

The final equation is:

Substituting t=1:

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:
