Answer:
The the vertex is: (2, 4)
Domain: all real numbers
Range: 
Step-by-step explanation:
Quadratic functions can be written vertically as follows
Quadratic functions can be written vertically as follows
Where the point (h, k) represents the vertex of the quadratic function.
For this type of functions the domain is always all real numbers and the range is 
or if 
then the range is ![(-\infty, k]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20k%5D)
In this case the function is:
So
The the vertex is: (2, 4)
Domain: all real numbers
Range: 
Answer: 40%
Step-by-step explanation:
The consumption of a vegetable has decreased. While the consumption per capita in 2000 was 25.2 pounds, in 2010, the consumption dropped to 15.2 pounds.
Consumption in 2000= 25.2 pounds
Consumption in 2010= 15.2 pounds
Difference in consumption=
25.2 - 15.2 = 10.0
Percentage decrease will be difference in consumption divided by original consumption in 2000 multiplied by 100. This will be:
= 10.0/25.2 × 100
= 0.4 × 100
= 40%
Okay. Let's make a proportion for this. So we can do 21/3=x/60. Let's multiply cross way. So 21 x 60 is 1260. We multiply 3 by x to get 3x. So our equation will be 3x=1260. We can isolate the equation by 3, and 1260 divided by 3 is 420. So x=420. We then have to convert into feet. So 420 divided by 12 is 35. So it would be 35 feet. Therefore, the machine can make 35feet of ribbon in a hour.
Answer:
-80
Step-by-step explanation:
-25+-55=-80
:D
Answer:
25
Step-by-step explanation:
