Answer:
B
Step-by-step explanation:
Commutative property of addition is
a+(b+c)=(a+b)+c
so just move the partenthsees ()
(1 5/8+4 3/4)+3 2/8=1 5/8+(4 3/4+3 2/8)
Answer:
Step-by-step explanation:
The max and min values exist where the derivative of the function is equal to 0. So we find the derivative:

Setting this equal to 0 and solving for x gives you the 2 values
x = .352 and -3.464
Now we need to find where the function is increasing and decreasing. I teach ,my students to make a table. The interval "starts" at negative infinity and goes up to positive infinity. So the intervals are
-∞ < x < -3.464 -3.464 < x < .352 .352 < x < ∞
Now choose any value within the interval and evaluate the derivative at that value. I chose -5 for the first test number, 0 for the second, and 1 for the third. Evaluating the derivative at -5 gives you a positive number, so the function is increasing from negative infinity to -3.464. Evaluating the derivative at 0 gives you a negative number, so the function is decreasing from -3.464 to .352. Evaluating the derivative at 1 gives you a positive number, so the function is increasing from .352 to positive infinity. That means that there is a min at the x value of .352. I guess we could round that to the tenths place and use .4 as our x value. Plug .4 into the function to get the y value at the min point.
f(.4) = -48.0
So the relative min of the function is located at (.4, -48.0)
Answer:
(0,3) One solution
Step-by-step explanation:
Step: Solve x+5y=15for x:
x+5y=15
x+5y+−5y=15+−5y(Add -5y to both sides)
x=−5y+15
Step: Substitute −5y+15for x in 7x+2y=6:
7x+2y=6
7(−5y+15)+2y=6
−33y+105=6(Simplify both sides of the equation)
−33y+105+−105=6+−105(Add -105 to both sides)
−33y=−99
−33y
−33
=
−99
−33
(Divide both sides by -33)
y=3
Step: Substitute 3 for y in x=−5y+15:
x=−5y+15
x=(−5)(3)+15
x=0(Simplify both sides of the equation)
Therefore (0,3) which is one solution
Answer:

Step-by-step explanation:
Given
Let y represent the number of meatballs in total and x represents the number of plates.

per plate
Required
Determine the value of x
To solve for x, we make use of the following expression.

Substitute values for y and Rate


Divide through by 5



<em>Hence, number of plates is 6</em>