Let's solve your inequality step-by-step.<span><span><span>5x</span>+3</span><18
</span>Step 1: Subtract 3 from both sides.<span><span><span><span>5x</span>+3</span>−3</span><<span>18−3</span></span><span><span>5x</span><15
</span>Step 2: Divide both sides by 5. <span><span><span>5x/</span>5</span><<span>15/5
</span></span><span>x<3
</span>Answer:<span>x<<span>3</span></span>
The answer would be
-3 ≤ x ≤ 5
Answer:
C
Step-by-step explanation:
As a fraction,
35/42, simplified, 5/6
answer=5/6
hope this helps....
Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²