Answer:
Step-by-step explanation:
c) Commutative property.
<h3>
Answer: Negative</h3>
======================================================
Explanation:
3/7 = 0.42857 approximately
Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2
Plug x = 2 into the f(x) function
f(x) = (x - 5)(2x + 7)(7x-3)
f(2) = (2 - 5)(2*2 + 7)(7*2-3)
f(2) = (2 - 5)(4 + 7)(14-3)
f(2) = (-3)(11)(11)
f(2) = -363
The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.
Answer:
Chocolate chip dough = $12
Gingerbread cookie dough = $17
Step-by-step explanation:
Since there are two variables in this problem, setting up a system of equations and using the elimination method will help us find the cost for each package of cookie dough. Based on Ryan's sales of 6 packages of chocolate chip and 12 packages of gingerbread for $276, the first equation is:
6c + 12g = 276
Since Shawna sold 8 chocolate chip and 3 gingerbread for a total of $147.00, the second equation is:
8c + 3g = 147
Using the elimination method, we will need to multiply the second equation by a factor of -4 in order to eliminate the variable 'g':
-4(8c + 3g = 147) = -32c - 12g = -588
Add the two equations:
6c + 12g = 276
+ <u> -32c - 12g = -588</u>
-26c = -312 or c = $12
Plug the value of 'c' into the first equation:
6(12) + 12g = 276 or 72 + 12g = 276 or g = $17
Quantity of paint left = 
gallons
Solution:
Quantity of yellow paint = 
gallons
Quantity of green paint = 
gallons
Quantity of blue paint = 
gallons
Quantity of paint used = 
gallons of each paint
Quantity of paint left = 
gallons of each paint
Quantity of paint left = 
Taking LCM for 5, 6, 8, we get LCM = 120
Hence, Mark will have gallons of paint left after painting the mural.
