When simplified, y=2(x+4)+5 equals y=2x+13
Note: I'm afraid I can't put the work for the answers, for lack of time =/
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1. 0 or -3
2. 0 or 4
3. -2 or 3
4. 0 or 1/2
5. -2 or 3
6. 0 or 5
7. 0 or 7
8. 0 or -2
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9. Substitute 0 for h in "h = -16x^2 + 16x" then solve for x
0 = -16x^2 + 16x
<span>Subtract -16x^2+16x from both sides.
</span><span>0−<span>(<span><span>−<span>16x2</span></span>+16x</span>)</span></span>=<span><span><span>−<span>16<span>x2</span></span></span>+<span>16x</span></span>−<span>(<span><span>−<span>16x2</span></span>+16x</span>)
</span></span><span><span>16<span>x2</span></span>−<span>16x</span></span>=<span>0
</span>
Factor the left side of the equation
<span><span>16x</span><span>(<span>x−1</span>)</span></span>=<span>0
</span>
Set factors to equal 0
<span><span>16x</span>=<span><span><span>0<span> or </span></span>x</span>−1</span></span>=<span>0
</span>x = 0 or x = 1
Answer:
Third option: x=0 and x=16
Step-by-step explanation:
Isolating √(2x+4): Addind √x both sides of the equation:
Squaring both sides of the equation:
Simplifying on the left side, and applying on the right side the formula:
Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:
Squaring both sides of the equation:
This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:
Factoring: Common factor x:
x (x-16)=0
Two solutions:
1) x=0
2) x-16=0
Solving for x: Adding 16 both sides of the equation:
x-16+16=0+16
x=16
Let's prove the solutions in the orignal equation:
1) x=0:
x=0 is a solution
2) x=16
x=16 is a solution
Then the solutions are x=0 and x=16
1/2 of 14 is 7 so 7th x plus 8th x = 30+30 / 2 = the median is 30
