Check whether the two expressions 2x+3y2x+3y and 2y+3x2y+3x equivalent.
The first expression is the sum of 2x2x 's and 3y3y 's whereas the second one is the sum of 3x3x 's and 2y2y 's.
Let us evaluate the expressions for some values of xx and yy . Take x=0x=0 and y=1y=1 .
2(0)+3(1)=0+3=32(1)+3(0)=2+0=22(0)+3(1)=0+3=32(1)+3(0)=2+0=2
So, there is at least one pair of values of the variables for which the two expressions are not the same.
U=-2b+30
u+b=21
<span>in slope intercept form this is </span>
<span>u=-b+21 </span>
<span>The same thing for wheels is </span>
<span>2b+u=30 </span>
<span>or </span>
<span>u=-2b+30</span>
Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
Answer:I’m going with 60 but I might be wrong cuz I did this in my head and I am not good with mental math so
Step-by-step explanation:
<h3>
Answer: Around 4681 grills</h3>
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Explanation:
x = number of years
y = number of grills sold
The equation we'll use is the exponential equation 
The 3300 of course is the initial amount sold. The 1.06 as the base indicates that the sales increase by 6% each year. Think of it the 1.06 as 1+0.06 = 100% + 6%
If we plugged x = 0 into that equation, then we get
which helps confirm the correct equation.
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Now plug in x = 6 to find the sales for year 6.
The projected sales for year 6 are about 4681 grills. This is an estimate based on the assumption that the sales will increase by 6% each year. Of course, the reality is that things aren't always so simple like this (but it should give a fairly good idea of what's going on).
