9514 1404 393
Answer:
-25 dollars per month
Step-by-step explanation:
It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...
(months, dollars) = (1, 675) and (4, 600)
Using the slope formula, we have ...
m = (y2 -y1)/(x2 -x1)
m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month
Answer:
The length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Step-by-step explanation:
Given that the length of a rectangle is 3 yards more than twice the width, and the area of the rectangle is 54 yards, the following calculation must be performed to find the dimensions of the rectangle, knowing that the area of a rectangle arises from multiplying its base by its height:
2X + 3 + X = 54
3X + 3 = 54
3X = 54 - 3
X = 51/3
X = 17
(17 x 2) + 3 = 37
Therefore, the length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Answer:
5(2x-1) = 5(2x) - 5(1)
Step-by-step explanation:
The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.
It can be written as:
a(b+c) = ab + ac
or
a(b-c) = ab - ac
So, for the given question,
=>5(2x-1) = 5(2x) - 5(1)
<span><span> 15x2y2+3x3y+75x4</span> </span>Final result :<span> 3x2 • (25x2 + xy + 5y2)
</span>
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((15•(x2))•(y2))+((3•(x3))•y))+(3•52x4)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> (((15•(x2))•(y2))+(3x3•y))+(3•52x4)
</span><span> Step 3 :</span></span><span>Equation at the end of step 3 :</span><span> (((3•5x2) • y2) + 3x3y) + (3•52x4)
</span><span>Step 4 :</span><span>Step 5 :</span>Pulling out like terms :
<span> 5.1 </span> Pull out like factors :
<span> 75x4 + 3x3y + 15x2y2</span> = <span> 3x2 • (25x2 + xy + 5y2)</span>
Trying to factor a multi variable polynomial :
<span> 5.2 </span> Factoring <span> 25x2 + xy + 5y2</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
Final result :<span> 3x2 • (25x2 + xy + 5y2)
</span><span>
</span>
