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Anna007 [38]
2 years ago
10

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Mathematics
1 answer:
dexar [7]2 years ago
5 0

Answer:

<h2>n = -7/2</h2>

Step-by-step explanation:

Given the equation 4n^2 +28n +49, to get the factors of the equation, we need to factorize the equation completely as shown;

= 4n² +28n +49

Using the general formula n = -b±√b²-4ac/2a

from the equation: a = 4, b = 28 and c = 49

n =  -b±√b²-4ac/2a

n = -28±√28²-4(4)(49)/2(4)

n =  -28±√784-784/8

n = -28±√0/8

n = -28/8

n = -7/2

The factor of the given function is -7/2

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A DVD player that normally cost $160 is on sale for 70% of its normal price.What is the sale price of the DVD player.
maw [93]
160 $ = 100%
     x $ = 70%


100 x = 11200
     x =  112


160,00 - 112,00 =  48,00$


7 0
3 years ago
a marina rents party boats for large social gatherings. They charge the following amounts for a 2 hour rental. 10 people for $16
Verdich [7]

Answer:

An equation that represents the data would be y=2.75x+137.50. The y-intercept of the graph is 137.50, which represents the base cost of a boat rental.  The slope of the graph is 2.75, which represents the rate, or cost per person.  If we use this equation to solve for the cost of boat rental for 75 people, we would get a total of $343.75.  A reason the marina might charge more for 75 people could be the need for a second boat and/or additional workers to handle the additional guests.  

Step-by-step explanation:

The problem gives you four sets of ordered pairs: (10, 165); (20, 192.50); (35, 233.75) and (50, 275).  Using these ordered pairs, you can either make a table, or use slope formula with two points to determine the rate of change.  For example, (192.50-165)/(20-10)= 2.75, which represents the slope or cost per person.  To find the y-intercept, or base cost to rent the boat, subtract the cost for 10 people ($27.50) from the $165 rental charge to get $137.50.  In order to find the cost for 75 people, you would plug in 75 for the variable 'x' and solve for 'y', which gives us $343.75.  Since the actual cost is different, we have to assume that there are additional fees associated with a certain number of people.  

8 0
3 years ago
If a line is perfectly vertical, meaning it reaches all y- at a single x-, which kind of slope does it have?
Aliun [14]

Answer:

B. Undefined

Step-by-step explanation:

A function cannot have more than one x value with different y values. A vertical line means this happens infinite times. It is undefined.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=g%28t%29%20%3D%20%20%7Bt%7D%5E%7B3%7D%20%20%2B%20%20%7B2t%7D%5E%7B2%7D%20%20-%2010t%20-%208" i
-Dominant- [34]

Answer:

Step-by-step explanation:

for example

We have to write the polynomial P(x) = 5x^3 -2x^2 + 5x - 2 as a product of linear factors.

P(x) = 5x^3 -2x^2 + 5x - 2

=> P(x) = x^2( 5x - 2) + 1( 5x - 2)

=> P(x) = (x^2 + 1)(5x - 2)

4 0
2 years ago
You are buying art supplies. Buying brushes will use one-fifth of your savings. Paint will use half of your savings. If you buy
alekssr [168]
You will have 40% of your savings left after buying brushes and paint. The fraction is 4/10, which you can simplify to 2/5.
4 0
3 years ago
Read 2 more answers
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