All categories

2 years ago

Look at the function below. f(x)=−x2−2x+8

Mathematics

1 answer:

enyata [817]2 years ago

7 0

Answer:

f(x) = -1(x+1)² + 9

Step-by-step explanation:

f(x) = -x² - 2x + 8

This is a down-opening parabola. Put the equation into vertex form. The y-coordinate of the vertex is the maximum.

factor out the leading coefficient

f(x) = -1(x²+2x) + 8

Complete the square

coefficient of x term: 2

divide in half: 1

square it: 1²

use 1² to complete the square:

f(x) = -1(x²+2x+1²) + 1² + 8

f(x) = -1(x+1)² + 9

vertex (-1,9)

maximum value of f(x) = 9

You might be interested in

Find the mode of the following set of data:<br> 5, 8, 2, 5, 2,5<br> A 5<br> B) 2<br> C 2 and 5

Mandarinka [93]

Answer:

A 5 is the mode of the data

3 0

2 years ago

Read 2 more answers

You are parasailing for the first time. The rope that connects you to the boat is 38 feet long. The distance along the water bet

Xelga [282]

Answer:

About 30.98386677 ft above the water.

Step-by-step explanation:

Use pythagorean theorem, a^2+b^2=c^2.

So when you plug in the numbers it would be x^2+22^2=38^2. Move 22^2 to the right side giving you x^2=38^2-22^2. Then subtract and take the square root of x^2.

5 0

1 year ago

The median of 15, 17, 13, 19, 20, 33, 22, 12, 18, and ◼ is 18.5. Is it possible to determine the missing value?

yanalaym [24]

It is NOT possible to determine the missing value from the given data.

<h3>Mean and Median</h3>

Mean is the average of a number of data while the median is the number at the middle of the given data.

For a given data with a missing value, we can only find the missing value by calculating the mean of the data and equating the given mean.

Hence from the given data, it is NOT possible to determine the missing value from the given data.

Learn more on median and mean here; brainly.com/question/14805451

3 0

2 years ago

Read 2 more answers

At the movie theatre, child admission is $5.10 and adult admission is $9.00 .

sveticcg [70]

Answer:

$5.10 X +9.00 Y = 831.60$

We also know that for Wedneday we have two times tickets for adults compared to child so we have

$Y =2x$

And using this condition we have:

$5.10 X + 18 X = 831.60$

And solving for X we got:

$X= \frac{831.60}{23.1}=36$

So then the number of tickets sold for child are 36

Step-by-step explanation:

For this problem we can set upt the following notation

X = number of tickets for child

Y= number of tickets for adults

And we know that the total revenue for Wednesday was 831.60. So then we can set up the following equation for the total revenue

$5.10 X +9.00 Y = 831.60$

We also know that for Wedneday we have two times tickets for adults compared to child so we have

$Y =2x$

And using this condition we have:

$5.10 X + 18 X = 831.60$

And solving for X we got:

$X= \frac{831.60}{23.1}=36$

So then the number of tickets sold for child are 36

8 0

2 years ago

A lifeguard received 15 hours of first aid training and 10 hours of cardiopulmonary resuscitation training what is the ratio of

aivan3 [116]

Answer:

The ration of 15 to 10 is 3/2

Step-by-step explanation:

5 0

2 years ago