x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
For #2, ∠3 and ∠1 are supplementary. You know that the measure of ∠1 is 162°, so what is ∠3? 180-162=18.
m∠3=18° if ∠1=162°.
Hope this helped!
Answer:
Hence the answer is given as follows,
Step-by-step explanation:
Graph of y = f(x) given,
(a) 
(b) 
(c) 
(d) 
(e) 
(f) 
{ Hole in graph}
Hence solved.
Correct answer: y=(2/3)x
The line passes through the origin (0,0) and the pair (3,2)
the equation y=(2/3)x satisfies both points:
for (0,0): 0=(2/3)*0 = 0
for (3,2): 2 = (2/3)*3 = 2
and therefore is the correct linear function of the line described.
Answer:
5/8
Step-by-step explanation:
.625 can equal 625/1000
and you can shrink the answer down with simplification.
cause you can divide both numerator and denominator by 5
625/1000 = 125/ 200
And we can divide both sides again by 5.
125/ 200 = 25/ 40
and we can divide both sides again by 5 once again.
25/ 40 = 5/ 8
