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3 years ago

What is the minimum value for h(x)=x2−16x+60?

1 answer:

7 0

Minimum value is equal to x=8, y=-4First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.Just plug in 8 to the original equation to find the answer for the minimum value.

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In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

3 years ago

(07.07)

dangina [55]

Answer:

Step-by-step explanation:

1.58 times the number of n bags equal to z money nedded to buy n bags of popcorn

7 0

3 years ago

5(m+2)-m=2m+3<br><br>Please I need help

Blababa [14]

Answer:

m=-7/2

Step-by-step explanation:

(5 • (m + 2) - m) - (2m + 3) = 0

2m + 7 = 0

3.1 Solve : 2m+7 = 0

Subtract 7 from both sides of the equation :

2m = -7

Divide both sides of the equation by 2:

m = -7/2 = -3.500

8 0

2 years ago

Read 2 more answers

What is the area of the triangle?

beks73 [17]

The area of a triangle is 180

4 0

3 years ago

The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to

Morgarella [4.7K]

Answer:

9 mph

Step-by-step explanation:

Let he speed of the boat on the lake is x.

<u>Considering the speed of the current it will take him:</u>

22.5/(x + 6) + 22.5/(x - 6) = 9
2.5 / (x + 6) + 2.5 / (x - 6) = 1
2.5(x - 6 + x + 6) = (x + 6)(x - 6)
2.5*2x = x² - 36
x² - 5x - 36 = 0
x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)

7 0

2 years ago