Step-by-step explanation:
We have xy = 28, x² + y² = 65 and x³ + y³ = 407.
Since (x + y)(x² - xy + y²) = x³ + y³,
x + y = (x³ + y³)/(x² + y² - xy)
= (407) / [(65) - (28)]
= 407 / 37
= 11.
Hence the sum of the numbers is 11.
If the northern side has length x and the east and west sides have length y, then the cost of the fence is
<span>C = 12x + 12y + 6y </span>
<span>and the enclosed area is A = xy. </span>
<span>12x + 18y = 6000 </span>
<span>x = 500 - 1.5y </span>
<span>A = 500y - 1.5y^2 </span>
<span>A is maximized when y = 500/3. In which case x = 250. </span>
Answer:
<u>"2a − 6". </u>
Step-by-step explanation:
The correct expression is "2a − 6".
This is a way to verify:
Let's say Adrianna sold 36 magazines. Now, substitute in that for a in the expression and calculate:
Now, is 66 six less than the double of 36? The answer is yes, therefore, the expression is correct.
Answer:
A) ∠BEC is one-half of ∠BAC
B) ∠BEC = 60°
C) ∠BDC = 120°
Step-by-step explanation:
C) arc BDC = 120°
arc BEC = 360° - 120° = 240°
∠BDC = 1/2(240°) = 120°
|7 - x| >= 1
When solving for x inside an absolute value, you can set up two equations. One for the positive and one for the negative(since we’re dealing with absolutes.
We end up with:
7 - x >= 1
7 - x <= -1 (inequalities’ signs flip when multiplying or dividing by a negative.)
7 - x >= 1
7 - 1 >= x
X <= 6
7 - x <= -1
7 + 1 <= x
X>= 8
X: (-infinity, 6]U[8, infinity)
