Teddy wants to taste all of the flavors of ice cream at the mall, one by one. Tasting any one flavor will change the way the nex
1 answer:
Answer: (d)
Step-by-step explanation:
Given
There are six flavors of ice-cream that is chocolate, vanilla, strawberry, birthday cake, rocky road, and butter pecan
First ice-cream can be tasted in 6 different ways
Second can be in 5 ways
similarly, remaining in 4, 3, 2 and 1 ways
Total no of ways are
Option (d) is correct.
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For a function to be continuous at an x-value, say -17, you need to make sure two things line up:
The limit from the left equals the limit from the right.
This limit equals the functions value.
The left hand limit involves the first piece, f(x) = 20x + 1:
The right hand limit invovles the second piece, f(x) = -10x^2:
Since the two one-sided limits don't match, the function is not continuous at x=-17.
The solution to the expressions given are;
9 -9t/ 12 - 5t
a. 20/ 169
b. -170/ 169
c. 386/ 169
d. -10/ 169
<h3>How to solve the expressions</h3>Given:
We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further
a.
First, let's find the lowest common multiple
LCM = 169
=
=
= 20/ 169
b.
The lowest common multiple is 119
=
substract the numerator
= - 170/ 119
c.
The lowest common multiple is 169
=
= 386/ 169
d.
The lowest common multiple is 169
=
= - 10/ 169
Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.
Learn more about LCM here:
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