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:
6 soda's will cost $9.
Step-by-step explanation:
4 soda's costs $6.
Find the amount 2 soda's will cost. Divide 2 from both sides.
(4)/2 = 2
(6)/2 = 3
2 soda's will cost $3.
Now, solve for the cost for 6 soda's by multiply 3 to both sides.
2(3) = 6
3(3) = 9
6 soda's will cost $9.
~
bearing in mind that the an hour has 15 + 15 + 15 + 15 = 60 minutes, so 15 minutes in 1/4 of an hour, thus 45 minutes is 3/4 of an hour.
now, from 11PM, if we add the 5 hours first, we'll be at 4AM, pass midnight of course.
now let's add the minutes, 32 and then 45, that gives us 77 minutes.
so the time will be 4AM plus 77 minutes, since 60 minutes is 1 hr, so 4AM plus 1 hr and 17 minutes, that'd be 5:17AM.
<em>Answer:</em>
<em>38%</em>
<em>Step-by-step explanation:</em>
<em>60 percent girls</em>
<em>50 percent of girls walk</em>
<em>50 percent take the bus</em>
<em></em>
<em>40 percent boys</em>
<em>20 percent walk</em>
<em>80 percent take the bus</em>
<em></em>
<em>If there are 100 people in the school</em>
<em>60 girls</em>
<em>30 girls take the bus</em>
<em></em>
<em>40 boys</em>
<em>8 boys walk</em>
<em></em>
<em>8+30=38</em>
<em>38% of the people walk to school</em>
Answer:
there would be a 1-51 chance most likely
Step-by-step explanation:
