Answer:
-7/2 = -2(x-1/2)^2
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
<span>12.6≤<span>g+17.4</span></span> Flip the equation.<span><span> g+17.4</span>≥12.6</span> Subtract 17.4 from both sides.<span><span><span> g+17.4</span>−17.4</span>≥<span>12.6−17.4</span></span><span> g≥<span>−4.8</span></span> Answer: <span>g≥<span>−<span>4.8</span></span></span>
Area = Length x Width
Substituting the given values:
16S^2 t = 8St^2 x Width
Manipulating for Width:
Width = 16S^2 t / <span>8St^2
Rewriting the squared terms in simplified form :
</span>Width = 16 x S x S x t / <span>8 x S x t x t
</span>Cancelling the like terms
Width = 16 x S / <span>8 x t
</span>Cancelling the numeric terms :
Width = 2S / <span>t</span>
Answer:
She will run 3 1/3 miles in 2 days
Step-by-step explanation:
1 2/3 + 1 2/3 = 2 4/3
= 3 1/3
The rate per minute (speed per minute) = 174/3 = 58 words/minute
In 1 minute he can type 58 words, in 8 minutes he can type 8 times more:
58 x 8 = 464 words in 8 minutes
