QUESTION 11
Given :
We take antilogarithm of both sides to get:
Group similar terms to get:
Simplify both sides to get:
Divide both sides by 2 to obtain:
12. Given;
We take antilogarithm to obtain:
Group similar terms to get:
We divide both sides by 5 to get:
13.
We take antilogarithm to get:
Group similar terms
Divide both sides by 4
14. Given ;
We take antilogarithm to get:
Simplify:
Divide both sides by 5
Or
15. Given:
We rewrite in the exponential form to get:
Divide both sides by 10
16. Given:
We take antilogarithm to obtain:
Simplify
Divide both sides by 2
17. Given .
We rewrite in exponential form:
Divide both sides by 3
18. Given
We take antilogarithm to get:
Group similar terms:
We divide both sides by 7
19. Given:
Apply the product rule to simplify the left hand side
We take antilogarithm to obtain:
x=-1 or x=4
But x>0, therefore x=4
20. Given
Apply product rule to the LHS
Rewrite in the exponential form to get:
This implies that:
or
Answer:
X'() Y'() Z'()
Plot accordingly
Step-by-step explanation:
Dilatation could be either stretching (bigger) or shrinking (smaller).
To find the dilated values of a point, multiply the x and y values by the scale factor. (In this case it is 1/4).
It's essentially the same principle of what you did in the first question.
Answer:
5 servers and 3 cooks(since a person doesn't exist in fraction)
Step-by-step explanation:
From the question provided above, the manager(who is obviously organizing some kind of party or get-togethers) is expecting a hindered and fifty guests in total .
And it also says that if a server can handle 30 guests and 150,how many of them are need?
Let X be number of servers needed:
X= 150/30 = 5 servers
AND
If a single cook can prepare meals for 60 guests,the number of cooks required to cover for 150 guest will be:
X= 150/60 = 2.5,but since a fraction of a human doesn't exist, we have to say that the manager needs 3 cooks(2 of them will handle a total of 120 guests and the other cook handles the 30 guests)
Answer:
17
Step-by-step explanation:
Now it says the number is 68 less than 5 times a number. x=68. Thus the number will be 17.