Answer:
a. V = (20-x) 
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
The correct answer is: [D]: " <span>x-int : 1 , y-int: 0.5 " .
_____________________________________________________
Note:
_____________________________________________________
The "x-intercept" refers to the point(s) at which the the graph of a function (which is a "line", in this case) cross(es) the "y-axis".
In other words, what is (are) the point(s) of the graph at which "x = 0<span>" ?
</span>
By examining the graph, we see that when " x = 0" ; y is equal to: "1<span>" .
</span>
So; the "x-intercept" is at point: "(0, 1)" ; or, we can simply say that the
"x-intercept" is: "1" .
_________________________________________________________</span> Note:
_____________________________________________________
The "y-intercept" refers to the point(s) at which the the graph of a function (which is a line, in this case) cross(es) the "x-axis".
In other words, what is (are) the point(s) of the graph at which " y = 0 <span>" ?
</span>
By examining the graph, we see that when " y = 0 " ; x is equal to: "0.5<span>" .
</span>
So; the "x-intercept" is at point: "(0.5, 0)" ; or, we can simply say that the
"y-intercept" is: "0.5 " .<span>
______</span>_________________________________________________
This would correspond to:<span>
_______________________________________________________
Answer choice: [D]: </span>" x-int: 1 , y-int: 0.5 " .
_______________________________________________________
{that is; The "x-intercept" is: "0" ; and the "y-intercept" is: "0.5 ".} .
_______________________________________________________
R + w = 50
r = 6w + 1
now we sub ..
6w + 1 + w = 50
7w + 1 = 50
7w = 50 - 1
7w = 49
w = 49/7
w = 7 <== white beads
r = 6w + 1
r = 6(7) + 1
r = 42 + 1
r = 43 <=== red beads
Answer:
El período paleolítico corresponde a 
de la época prehistórica.
Step-by-step explanation:
En primer lugar, se determina la extensión de tiempo, medida en años, tanto de la época prehistórica como el período paleolítico: (Nótese que el signo negativo significa a.C.)
Época Prehistórica
Período Paleolítico
La fracción de la época prehistórica que corresponde al período paleolítico es:
El período paleolítico corresponde a de la época prehistórica.
To calculate this, we need to divide 7 minutes by 4 miles to see how long it takes her to hike 1 mile.
7/4 = 1.75 minutes/ mile
= 1 minute and 75 seconds = 2 minutes and 15 seconds.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.
