The answer to 3 3/16 divided by 3/8 is 8 1/2. This is because you have to turn the mixed number into an improper fraction and then divide by the method of keep change flip in order to get your answer
Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Answer:
4.5 inches
Step-by-step explanation:
To find the height in inches of the model, you need to change the ration into a fraction:
Then try to figure out the value of the denominator in terms of the ratio:
In this equation we need to figure out how much the denominator of the fraction is changing by, by dividing 725 by 50. Then, multiply that by one:
Answer:
He must work for 115 hours to save at least $1900.
Step-by-step explanation:
The equation that you'll use is 65+16x=1900, with x being hours. I found the answer by using 65+16(115)=1905, which is the closest number you'll get before starting to use half hours and such.
