Hello there!
total cost ÷ cost per gallon = gallons bought
So: $31.84 total spent ÷ $1.99 per gallon = 16 gallons bought.
This means 16 is your final answer. I hope this helps and have a great rest of your day!
<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
6x^2 - 19x - 55 = 6x^2 -30x + 11x - 55 = 6x(x - 5) + 11(x - 5) = (6x + 11)(x - 5)
Hopes This Helps you!
Answer:
k-3 ≥8
Step-by-step explanation:
k-3 ≥8
kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.
