Answer:
(5x - 3y)(25x² +15xy + 9y²)
Step-by-step explanation:
125x³ - 27y³ is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
Given
125x³ - 27y³
= (5x)³ - (3y)³
= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)
= (5x - 3y)(25x² + 15xy + 9y²)
Let's solve for y.<span>6=<span><span>4x</span>+<span>9y</span></span></span>Step 1: Flip the equation.<span><span><span>4x</span>+<span>9y</span></span>=6</span>Step 2: Add -4x to both sides.<span><span><span><span>4x</span>+<span>9y</span></span>+<span>−<span>4x</span></span></span>=<span>6+<span>−<span>4x</span></span></span></span><span><span>9y</span>=<span><span>−<span>4x</span></span>+6</span></span>Step 3: Divide both sides by 9.<span><span><span>9y</span>9</span>=<span><span><span>−<span>4x</span></span>+6</span>9</span></span><span>y=<span><span><span><span>−4</span>9</span>x</span>+<span>2<span>3</span></span></span></span>
Answer:
- x < 2.5
- x > 2.5
Step-by-step explanation:
One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.
<h3>1.</h3>
For x=0, you have ...
5 > -5 . . . . . true; the solution space is x < 2.5
__
<h3>2.</h3>
For x=0, you have ...
-25 > -5(2.5)
-25 > -12.5 . . . . . false; the solution space is x > 2.5
_____
<em>Alternate solution</em>
<h3>1.</h3>
Subtract 5:
-4x > -10
Divide by -4
x < 2.5
__
<h3>2.</h3>
Divide by -5:
5 < x +2.5
Subtract 2.5
2.5 < x
x > 2.5
Answer:
1. y<-2 2. x≤5 3. 0<23 4. 0 ≤ -1 5. inequality: 3 + (7x) < 24 answer: x<3
Step-by-step explanation:
