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3 years ago

Find the percent increase. Round to the nearest percent. From 11 friends to 18 friends

Mathematics

1 answer:

AVprozaik [17]3 years ago

3 0

Answer:

63.63%

Step-by-step explanation:

18-11=7

(7/11)100=63.63%

18 ia a 63.63% increase from 11

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I have no clue on how to do this

iren [92.7K]

Answer: neather do i add picture

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the minimum value of the function f(x)=x^2+5x-6

mash [69]

<h3><u>Explanation</u></h3>

Method 1 (Formula)

$\begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}$

The vertex of Parabola is the maximum/minimum point depending on the value of a.

Find Vertex

<u>h-value</u>

$h = - \frac{5}{2(1)} \\ h = - \frac{5}{2}$

<u>k-value</u>

$k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4}$

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

Method 2 (Derivative)

This is Calculus method. We simply differentiate the function then substitute y' = 0.

Differentiate Function

$f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5$

Substitute f'(x) = 0

$0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x$

Substitute x = -5/2 in the original equation.

$f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4}$

<h3><u>Answer</u><u /></h3>

<u> $\sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }$ </u>

4 0

3 years ago

Given the function f(X)= |3x-7|, find the values of X that satisfy the equation f(X) = 4

Kay [80]

Answer:

x = 1 or x = $\frac{11}{3}$

Step-by-step explanation:

The expression inside the absolute value function can be positive or negative

That is 3x - 7 = ± 4

There are 2 equations to solve

(1)

3x - 7 = 4 ( add 7 to both sides )

3x = 11 ( divide both sides by 3 )

x = $\frac{11}{3}$

(2)

3x - 7 = - 4 ( add 7 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

5 0

2 years ago

A penny is dropped from the empire state building which is 1250 feet tall if the penny's pathway can be modeled by the equation

yaroslaw [1]

Answer:

It would take approximately 8.82 sec for a penny to strike the person.

Step-by-step explanation:

Given:

Height of the building = 1250 feet

Height of the person = 6 feet.

Modeled equation is $h=-16t^2+1250$

We need to find the time required 't' for the penny to strike the person.

Solution:

to find the time required 't' for the penny to strike the person we will substitute;

h ⇒ height of the person.

So we get;

$6=-16t^2+1250$

Now Combining the like terms we get;

$16t^2=1250-6\\\\16t^2=1244$

Dividing both side by 16 using division property we get;

$\frac{16t^2}{16} =\frac{1244}{6}\\\\t^2 = 77.75$

Now taking square root on both side we get;

$\sqrt{t^2}= \sqrt{77.75}\\\\t \approx 8.82 secs$

Hence It would take approximately 8.82 sec for a penny to strike the person.

8 0

3 years ago

An Aibo costs $2,899.99. This includes a toy ball, a charging station, and several years of AI cloud service, which helps it lea

ivann1987 [24]

Answer:

See Below

Step-by-step explanation:

The attached graph shows the cumulative costs of owning an AIBO.

$2899.99 (about $2900) includes fixed cost of Toy Ball, Charging Station

Several years of AI cloud service is a variable cost because this is changing and it helps the robot dog "learn". It is going to cost after some time. But how long?

Looking at the cost of an AIBO, we see that until 3 years, the cost line is veyr close to 3000 dollars, we can say 2899.99 dollars. After 3 years, the cost rises with a slope. Now, this is the cost of AI cloud service being IMPOSED after first 3 years of being "free".

Thus,

We can say that service is free for first 3 years. We know by looking at the graph shown.

3 0

2 years ago