Answer:
4x^3-16x^2-28x+40
It will take a while to describe how i got this, but i checked the zeroes are ok.
The inequality equation will be -5x + 20 < -10.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign.
The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours.
Daryl plans to be gone at least 6 hours, and he has a plant outside.
If he wants the plant to remain in temperatures above -10° should Daryl move the plant to a warmer location before leaving will be
The inequality equation will be
-5x + 20 < -10
where x is the number of hours.
Then we have
-10 < -5x + 20
5x > 30
x > 6 hours
More about the inequality link is given below.
brainly.com/question/19491153
#SPJ1
Answer:
x = 11
Step-by-step explanation:
By intersecting chords theorem:
![27(x + 5) = 24(x + 7) \\ 27x + 135 = 24x + 168 \\ 27x - 24x = 168 - 135 \\ 3x = 33 \\ x = \frac{33}{3} \\ x = 11](https://tex.z-dn.net/?f=27%28x%20%2B%205%29%20%3D%2024%28x%20%2B%207%29%20%5C%5C%2027x%20%2B%20135%20%3D%2024x%20%2B%20168%20%5C%5C%2027x%20-%2024x%20%3D%20168%20-%20135%20%5C%5C%203x%20%3D%2033%20%5C%5C%20%20x%20%3D%20%20%5Cfrac%7B33%7D%7B3%7D%20%20%5C%5C%20x%20%3D%2011)
Answer:
mrs.Gates can serve 66 teachers
Step-by-step explanation:
1. there are 22 slices of cake
2.each trachée want 1/3 slice
3. multiply 22 by 1/3 or 3
4. the answer is 66
Take the deritivive
remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/(g(x)^2)
so
deritiveive is ln(x)/x is
remember that derivitive of lnx is 1/x
so
(1/x*x-1lnx)/(x^2)=(1-ln(x))/(x^2)
the max occurs where the value is 0
(1-ln(x))/(x^2)=0
times x^2 both sides
1-lnx=0
add lnx both sides
1=lnx
e^1=x
e=x
see if dats a max or min
at e/2, the slope is positive
at 3e/2, the slope is negative
changes from positive to negative at x=e
that means it's a max
max at x=e
I realize I didn't find the max point, so
sub back
ln(x)/x
ln(e)/e
1/e
the value of the max would be 1/e occuring where x=e
4th option is answer (1/e) because that is the value of the maximum (which happens at x=e)