For this case we have that by definition, the area of a rectangle is given by:
![A = w * l](https://tex.z-dn.net/?f=A%20%3D%20w%20%2A%20l)
Where:
w: It is the width of the rectangle
l: It is the length of the rectangle
On the other hand, we have that the GCF of two numbers is given by the biggest factor that divides both numbers without leaving remainder.
If we have that the area of the rectangle is:
![A = 14y ^ 3-35y](https://tex.z-dn.net/?f=A%20%3D%2014y%20%5E%203-35y)
We find the GCF of 14 and 35:
![14: 1,2,7,14\\35: 1,5,7,35](https://tex.z-dn.net/?f=14%3A%201%2C2%2C7%2C14%5C%5C35%3A%201%2C5%2C7%2C35)
Thus, the GCF is 7. Then the GCF of the expression is: ![7y](https://tex.z-dn.net/?f=7y)
![A = 7y (2y ^ 2-5)](https://tex.z-dn.net/?f=A%20%3D%207y%20%282y%20%5E%202-5%29)
Thus, the dimensions of the ractangle can be:
or ![w = 2y ^ 2-5\ units, l = 7y\ units](https://tex.z-dn.net/?f=w%20%3D%202y%20%5E%202-5%5C%20units%2C%20l%20%3D%207y%5C%20units)
If,
we have:
![A = 14 (2) ^ 3-35 (2) = 14 (8) -70 = 112-70 = 42 units ^ 2](https://tex.z-dn.net/?f=A%20%3D%2014%20%282%29%20%5E%203-35%20%282%29%20%3D%2014%20%288%29%20-70%20%3D%20112-70%20%3D%2042%20units%20%5E%202)
![w = 7 (2) = 14\ units; l = 2 (2) ^ 2-5 = 2 (4) -5 = 8-5 = 3\ units\\w = 2 (2) ^ 2-5 = 2 (4) -5 = 8-5 = 3\ units; l = 7 (2) = 14\ units](https://tex.z-dn.net/?f=w%20%3D%207%20%282%29%20%3D%2014%5C%20units%3B%20%20l%20%3D%202%20%282%29%20%5E%202-5%20%3D%202%20%284%29%20-5%20%3D%208-5%20%3D%203%5C%20units%5C%5Cw%20%3D%202%20%282%29%20%5E%202-5%20%3D%202%20%284%29%20-5%20%3D%208-5%20%3D%203%5C%20units%3B%20l%20%3D%207%20%282%29%20%3D%2014%5C%20units)
The rectangle does exist!
Answer:
![w = 7y\ units, l = 2y ^ 2-5\ units\ or\ w = 2y ^ 2-5\ units, l = 7y\ units](https://tex.z-dn.net/?f=w%20%3D%207y%5C%20units%2C%20l%20%3D%202y%20%5E%202-5%5C%20units%5C%20or%5C%20w%20%3D%202y%20%5E%202-5%5C%20units%2C%20l%20%3D%207y%5C%20units)
The rectangle does exist!
Answer:
yo ur teacher got u doin deltamath l m ao i did that same exact thing
The answer is just 4,8,2,6,13
since it is g>3 so then it would be 4,8,2,6,13
hope this helps!
please give brainliest
have a nice day :D
Answer:
a: ![40h+75f=800,h+f=13](https://tex.z-dn.net/?f=40h%2B75f%3D800%2Ch%2Bf%3D13)
b: 5
c: 8
Step-by-step explanation:
<em>Explanation for a: Making the equations</em>
Assuming h is the amount of half-page ads and f is the amount of full page ads, we can create the equations
since the total cost will be 800$, and we have a total of 13 ads.
<em>Explanation for b: Solving for h</em>
We can now solve for one of the variables using elimination. Let’s multiply the expression
by -75.
![-75h - 75f = -975](https://tex.z-dn.net/?f=-75h%20-%2075f%20%3D%20-975)
Great! Now let’s add the equations.
![40h + 75f = 800\\\\-75h - 75f = -975](https://tex.z-dn.net/?f=40h%20%2B%2075f%20%3D%20800%5C%5C%5C%5C-75h%20-%2075f%20%3D%20-975)
Adding these equations, we get
![-35h = -175](https://tex.z-dn.net/?f=-35h%20%3D%20-175)
Divide both sides by -35, and we get
.
<em>Explanation for c: Solving for f</em>
We can now substitute h inside the equation
.
![5 + f = 13\\\\f = 13-5\\\\f = 8](https://tex.z-dn.net/?f=5%20%2B%20f%20%3D%2013%5C%5C%5C%5Cf%20%3D%2013-5%5C%5C%5C%5Cf%20%3D%208)
Hope this helped!
The answer to 6 x (-8) = -48
<u>It is -48 because anytime you multiply one negative to one positive it will be negative if you multiply two negative's it come out to be a positive </u>
Hope this helps
Have a wonderful day
Answer:
positive
Step-by-step explanation:
the discriminant of the function is postive.
because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0
that implies the discriminant is positive.
![\Delta = \sqrt{b^2-4ac}](https://tex.z-dn.net/?f=%5CDelta%20%3D%20%5Csqrt%7Bb%5E2-4ac%7D)
if
we have 2 distinct real solution
if
we have no real solution but 2 complex solutions
if
we have 2 identical real solution