Determine the vertex of the following quadratic equation... h(x) = 7(x-5)^2

Answers

Answer 1

Answer: Hello,

h(x)=7(x-5)²
h'(x)=14(x-5)
h'(x)=0 <=> x=5
The vertex is (5,0) is a minimum.

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What is the answer to 5 times 3/4

Answers

5 x 3 = 15 = 3 3/4 or 3.75
4 4

Answer:

3 3/4 or 3.75

Step-by-step explanation: I did it

If a car cost 35,000 and it depreciates 10% a year. what would the exponential decay equation be?

Answers

.10*35000* # of years

A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. Howmany of them were fives?

Answers

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.

Suppose y varies directly with x, and y=24 when x=8. what is the value of y when x=10?

Answers

varies directly
y vaires diretly with x means
y=kx where k is constant
y=24
x=8
find k
24=k8
divide 8
3=k

y=3x
when x=10
y=3*10
y=30

A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

Answers

4 yards x 36inches = 144
144/15inches=9.6
So the maximum is 9 ribbons with a little material left over.

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = x³y + 24x²- 8y local maximum value(s) local minimum value(s). saddle point(s) (x, y, ) =

Answers

Answer:

DNE.) f(x, y) = x³y + 24x²-

Step-by-step explanation:

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enterDNE.) f(x, y) = x³y + 24x²- 8y local maximum value(s) local minimum value(s). saddle point(s) (x, y, ) =

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