K = Kate's age nowJ = Joey's age nowK+5 = Kate's age in 5 yearsJ+5 = Joey's age in 5 years From the first sentenceK+5 = 2(J+5) From the second sentenceK=J+11 So our system of equations isK+5 = 2(J+5)K=J+11 The first equation is equivalent toK+5 = 2J+10or by rearranging termsK-2J=5 The second equation is equivalent toK-J=11 This gives us K-2J=5K-J=11 Using the elimination method, we need to multiply one of the equations by a factor such that we can eliminate one of the variables. This means we want one of the variables to have coefficients which are the same magnitude but opposite signs. We can do this by multiplying the 1st equation by -1. This give us -K+2J=-5 K - J = 11 Now add these two equations together, term by term. This gives usJ=6 So Joey is 6 years old now.
Answer:
Step-by-step explanation:
Let x = the number of 50-cent increases in the cost of a book rental.
Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:
$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.
The number of rentals is:
38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.
(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:
-2x² + 7x + 114
The correct answer for this completion exercise shown above is
the second option (Option B), which is: B. Parent
Therefore, you have:"In each family of function, the parent function is the most basic function in the family"
By definition, the
most basic fucntion in each family of functions is called “parent fucntion”. A
family of function is a set of function that when you graph them, you can notice
that they have common charateristics.
3/2 is the answer
i say this because you have to think of the problem as
4y=6x
divide the 4
y=6x/4
simplify
3/2
