To check if a piecewise defined function is continuous, you need to check how the pieces "glue" together when you step from one domain to the other.
So, the question is: what happens at x=3? If you reach x=3 from values slightly smaller than 3, you obey the rule f(x)=log(3x). So, as you approach 3, you get values closer and closer to
Similarly, if you reach x=3 from values slightly greater than 3, you obey the rule f(x)=(4-x)log(9). So, as you approach 3, you get values closer and closer to
So, the function is continuous at x=3, because both pieces approach log(9) as x approaches 3.
<span>The answer to this question would be: 5 days
In this question, there are two kinds of rent pricing and you are asked to find the number of days when both of them will charge the same price.
From the description, you can get an equation of each price which would look like this(x=number of day rent):
cost1= 110 + 46x
cost2= 70 + 54x
Then, the days when the price same would be:
cost1 = cost2
</span>110 + 46x= 70+54x
110-70= 54x - 46x
40= 8x
x=5
Evaluation of the expression using order of operation gives 26/11.
How to evaluate the expression
Given 13 ÷(2.5-1-3).33 = 13 ÷ 33( 2 x 5 - 1 - 3)
To evaluate this expression we need to apply the order of operation rule, BODMAS or PEMDAS.
13 ÷(2.5-1-3).33 = 13 ÷ 33( 2 x 5 - 1 - 3) Evaluate multiplication
= 13 ÷ 33(10 - 1 - 3) Evaluate what is in the bracket
= 13 ÷ 33(6) Evaluate division
= 13/33 x 6
= 78/ 33 = 26/11
Therefore, evaluating the expression gives 26/11.
Learn more about the order of operation on:
brainly.com/question/28360611
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Answer:
b is the answer
Step-by-step explanation:
1km= 1000m
1hr =60sec
A percent is just a fraction.
So take your two numbers and make a fraction with them ... 18/30 .
18 is 18/30 of 30 .
Now, to find the percent that's equivalent to 18/30 ,
first do the division:
18/30 = 0.6 .
Now, to change a decimal into percent,
move the decimal point two places that way ==> .
0.6 = 60% .
18 is 60% of 30 .
