Answer:
the function is continuous from the left at x=1 and continuous from the right at x=0
Step-by-step explanation:
a function is continuous from the right , when
when x→a⁺ lim f(x)=f(a)
and from the left when
when x→a⁻ lim f(x)=f(a)
then since the functions presented are continuous , we have to look for discontinuities only when the functions change
for x=0
when x→0⁺ lim f(x)=lim e^x = e^0 = 1
when x→0⁻ lim f(x)=lim (x+4) = (0+4) = 4
then since f(0) = e^0=1 , the function is continuous from the right at x=0
for x=1
when x→1⁺ lim f(x)=lim (8-x) = (8-0) = 8
when x→1⁻ lim f(x)=lim e^x = e^1 = e
then since f(1) = e^1=e , the function is continuous from the left at x=1
Answer:
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
Step-by-step explanation:
We will write the equation to represent this scenario.
Let x be the number of people who went for movies.
Then the price of ticket for x people will be: 6.25x
They spent $12 on refreshments and a total of $30.75 so the equation will be:
solving the equation will give us total number of people
So,
Hence,
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
Answer:
Answers below.
Step-by-step explanation:
Inititally as x increases, y remains the same.
Afterword, the slope = 2 for x = 3 to x = 5.
the slope = 1 for x =5 to x =9.
the greatest value of y is y = 4 when x = 5.
Answer: 4
Step-by-step explanation:
Answer:
34/112 or 17/56
Step-by-step explanation:
( total 12 graders + total swim team ) - (12 grade and swim team)
26/112 + 16/112 - 8/112
42/112 - 8/112
34/112
