Which is more, 30 pints or 4 gallons?
2 answers:
You might be interested in
Answer:
Hey, Dalilah. I hope I'm not too late, but the answer is <u><em>(3,5)</em></u>.
Step-by-step explanation:
You have to use the equation that includes the x value of <em>3</em>.
<em>4x+1</em> only includes x values that are less than <em>3</em>.
<em>2x-1</em> includes x values that are greater than or equal to <em>3</em>.
I plugged <em>3</em> into both of these equations <em>(4x+1; x < 3 & 2x-1; x ≥ 3)</em> in order to see which equation would've been true.
<em>4(3)+1 = 13; 13 < 3 [False] 13 isn't less than 3 -- and 2(3)-1 = 5; 5 ≥ 3 [True] 5 is greater than or equal to 3.</em>
Since the equation <em>2(3)-1; 5≥3</em> is true, you should use this equation. I used <em>Demos</em> in order to graph <em>Y=2(3)-1</em>. At the bottom of that I put <em>x=3</em>, and it showed me <em>(3,5)</em>.
I'll post the pictures for proof and better clarification if this is confusing, love.
If we let x represent the length, then the width is (4x-48), and the area is ...
x(4x-48) = 256
This is neatly solved graphically to find x = 16. (x=-4 is an extraneous solution)
The rectangle's length is 16 cm.
x(4x-48) = 256
This is neatly solved graphically to find x = 16. (x=-4 is an extraneous solution)
The rectangle's length is 16 cm.