Answer:
35 is the answer
Step-by-step explanation:
it just is yeyeye
Answer:
7. 5
pizza
8. B
9. 11
inches
10. -12
11. 
12. 4
Step-by-step explanation:
7. 3
+ 2 
make them mixed fractions:
+ 
get a common denominator by multiplying
by 4:
+ 
add the numerators: 
simplify the fraction by dividing 45 by 8: 5 
8. 3 x 6 = 18
5 x 6 = 30
7 x 6 = 42
9 x 6 = 54
therefore, y = 6x
9. 5:7 is similar to 8:L
divide 8 by 5: 1 
multiply 7 by 1
: 11 
L = 11
inches
10. 5 - 2x = 29
subtract 5 from each side: -2x = 24
divide each side by -2: x = -12
11. fruit = 15%
15% = 15/100
simplify by dividing by 5: 
12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.
You can describe the domain by every possible x value in the function, since that function has a vertical intersection line which means the x value will never pass it on the negative side, the domain would be from -2 to all the postive numbers, X > -2 or (-2,∞).
For the range, simply it's all the possible y values. In that function it's impossible to go under 0 or negative value. That means the range would be Y>0 or (0,∞).
If you want to know if it's a function or not you could try the vertical line test, select any x value and draw straight line on it, if the line crosses 2 y points in the same x value it wont be a function, In your case each x value has it's own Y value.
So the answer is Domain x>-2; Range y>0; Yes, it is a function
Answer:
Step-by-step explanation:
Here's the formula for the volume of a right circular cylinder:

Here's what we are given and what we need to find:
Given that d = 10 cm, h = 20 cm, dd/dt = 1 cm/sec
Need to find dh/dt when V is constant
Since our formula has a radius in it and not a diameter but the info given is a diameter, we can use the substitution that
so

Now we can rewrite the formula in terms of diameter:
which simplifies down to

Now we will take the derivative of this equation with respect to time using the product rule. That derivative is
![\frac{dV}{dt}=\frac{\pi }{4}[d^2*\frac{dh}{dt}+2d\frac{dd}{dt}*h]](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B%5Cpi%20%7D%7B4%7D%5Bd%5E2%2A%5Cfrac%7Bdh%7D%7Bdt%7D%2B2d%5Cfrac%7Bdd%7D%7Bdt%7D%2Ah%5D)
Now we can fill in our values. Keep in mind that if the volume is constant, there is no change in the volume, so dV/dt = 0.
and

Multiply both sides by pi/4 to get
and solve for dh/dt:

Interpreted within the context of our problem, this means that the volume will be constant at those given values of diameter and height when the liquid in the cylinder is dropping at a rate of 4 cm/sec.
if this trapezoid is to scale, then the scale factor between the shortest and longest side is 1.5
so, that means that 1.5(2x+6) = 4x+2
so, your equation becomes 3x+9 = 4x+2
if you subtract 2 from each side, you get 3x+7 = 4x
meaning that x = 7
i hope this helps, and i'm sorry if it's wrong!! :)