1. 2x+8=3x+10
Step 1: Subtract 3x from both sides.
2x+8(-3x)= 3x+10 <span>(-3x)
</span>-x+8=10
Step 2: Subtract 8 from both sides.
-x+8 (-8) = 10 <span>(-8)
</span>-x=2
Step 3: Divide both sides by -1.
-x/(-1)=2/(-1)
x=-2
Answer= x=-2
2. -3x+9=2x-1
Step 1: Subtract 2x from each side.
-3x (-2x) +9= 2x-1 <span>(-2x)
</span>-5x+9=-1
Step 2: Subtract 9 from both sides.
-5x+9 (-9)=-1 (-9)
-5x=-10
Step 3: Divide -5 from both sides.
-5x/-5= -10/-5
x=2
The answer is 2.
3. 4x-7=5x-6
Step 1: Subtract 5x from both sides.
4x-7 (-5x)= 5x-6 (-5x)
-x-7=-6
Step 2: Add 7 to both sides.
-x-7 (+7)= -6 (+7)
-x=1
Step 3: Divide each side by -1.
-x/-1=1/-1
x=-1
The answer is -1.
<h3>
Answer: (x-2)(x+2)(x+3)(x+3)</h3>
This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.
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Explanation:
x^2-4 factors to (x-2)(x+2) after using the difference of squares rule
x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule
So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)
We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2
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Side notes:
- Difference of squares rule is a^2 - b^2 = (a-b)(a+b)
- The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2
Answer: 480 minutes or 8 hours
Step-by-step explanation:
24,000 ÷ 50 = 480.
It will take 480 minutes to fill the pool.
480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.
Hope this helps!
The answer is 3x+4y-7=0. The line will have a negative slope.
