Answer:
the domain of the function f(x) is ![x\ge 7](https://tex.z-dn.net/?f=x%5Cge%207)
the range of the function f(x) is ![f(x)\ge 9](https://tex.z-dn.net/?f=f%28x%29%5Cge%209)
Step-by-step explanation:
Consider the parent function ![y=\sqrt{x}.](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%7D.)
The domain og this function is
the range of this function is ![y\ge 0.](https://tex.z-dn.net/?f=y%5Cge%200.)
The function
is translated function
7 units to the right and 9 units up, so
the domain of the function f(x) is ![x\ge 7](https://tex.z-dn.net/?f=x%5Cge%207)
the range of the function f(x) is ![f(x)\ge 9](https://tex.z-dn.net/?f=f%28x%29%5Cge%209)
Answer:
Step-by-step explanation:
y + 8 = 0(x - 0)
y + 8 = 0
y = -8
<span>0.08333333333
</span><span>as it is a non recurring decimal fraction
</span>x = 0.083333333
<span>1000x = 83.3333333..... </span>
<span>1000x - x =( 83.333333....) - (0.083333..... )</span>
<span>999x = 83.25 </span>
<span>3996x = 333
</span>x=333/3996
<span>x = 1/12 </span>
The area of a rectangle is equal to length times width.
Mathematically,
![A_{rect}=l*w](https://tex.z-dn.net/?f=A_%7Brect%7D%3Dl%2Aw)
.
We can arbitrarily choose one expression for length and one for width; the result is the same.
Let's say that
![6x^3y](https://tex.z-dn.net/?f=6x%5E3y)
cm is the length, and
![5xy](https://tex.z-dn.net/?f=5xy)
cm is the width.
We simply write
![(6x^3y)(5xy)=30x^4y^2 \ cm^2](https://tex.z-dn.net/?f=%286x%5E3y%29%285xy%29%3D30x%5E4y%5E2%20%5C%20cm%5E2)
.
I am assuming you did not mean to write
![6x^{3y}](https://tex.z-dn.net/?f=6x%5E%7B3y%7D)
for the first dimension.
Answer:
B. The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.
Step-by-step explanation:
Rate at which people enter:
e(x)=0.03x^3 + 2
Rate at which people leave:
L(x)=0.5x + 1
Rate at which the number of people in the park is changing:
(e - L)(x) = 0.03x^3 + 2 - (0.5x + 1) = 0.03x^3 - 0.5x + 1
4 hours after the gates open, the rate is:
(e - L)(4) = 0.03(4)^3 - 0.5(4) + 1 = 0.92 hundreds of people per hour or 0.92*100 = 92 people per hour