Answer:
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the total words typed
we know that
<em>Kameryn</em>
-----> equation A
<em>Joe</em>
-----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x
That means
For x=34 minutes
The amount of words written by Kameryn and Joe are the same.
therefore
For x > 34 minutes
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
<span>Kendall's birthday money = Joshua's birthday money</span>
the complete question is
Find two numbers whose difference is 46 and whose product is a minimum
Let
x------->larger number
y-------> smaller number
P-------> product of the two numbers
we know that
-----> equation 1
-----> equation 2
substitute equation 1 in equation 2
![P=x*[x-46]\\ P=x^{2} -46x](https://tex.z-dn.net/?f=%20P%3Dx%2A%5Bx-46%5D%5C%5C%20P%3Dx%5E%7B2%7D%20-46x%20)
using a graph tool
see the attached figure
Find the value of x for that the product P is a minimum
the vertex is the point 
that means, for 
the product is a minimum 
find the value of y
therefore
the answer is
the numbers are 
and 
A)
original rectangle P = 2(w+l)
so
18 = 2(w+l) (1)
new rectangle
doubling width w, so its 2w
tripling length l, so its 3l
46 = 2(2w + 3l) (2)
now you have
18 = 2(w+l) (1)
9 = w + l so w = 9 - l
46 = 2(2w + 3l) (2)
23 = 2w + 3l
substitute w = 9 - l into 23 = 2w + 3l
23 = 2w + 3l
23 = 2(9 - l) + 3l
23 = 18 - 2l + 3 l
23 - 18 = l
5 = l or l = 5
w = 9 - l = 9 - 5 = 4
answer
original rectangle, length = 5 in and width = 4 in
b)new rectangle
length = 3l = 3(5) = 15 in
width = 2w = 2(4) = 8 in
The first one is: Y = (x - 1)² - 16
The third one is: (A) X = 6.
6² - 36 = 0
Still working on the other ones, though.
