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34kurt
3 years ago
5

Determine the solution for x^2-3x-28 > or equal to 0

Mathematics
1 answer:
omeli [17]3 years ago
8 0
The solutions are:
x = −4,x = 7
Explanation:
X^2−3x−28= 0
We can first factorise this expression by splitting the middle term and then find the solutions:
= x^2−7x+4x−28=0

= x( x−7) + 4( x − 7)=0
=(x+4)(x−7)
Now, we can equate the two factors with zero and find the solutions:
x+4=0,x =−4x−7=0,x=7
You might be interested in
a plane descended at a rate of 400 feet per minute. what is the change in the elevation of the plane after 6 minutes.​
Aneli [31]

Answer:

The change in elevation=2,400 feet

Step-by-step explanation:

The expression to determine the change in elevation after 6 minutes is a s follows;

D=S×T

where;

D=change in elevation in feet

S=speed/ descending rate

T=time

In our case;

D=unknown

S=400 feet/minute

T=6 minutes

replacing;

D=400×6=2,400 feet

The change in elevation=2,400 feet

5 0
3 years ago
What is the perimeter of the regular hexagon ? <br> 3m
mr Goodwill [35]
If you are trying to ask what the perimeter is for a hexagon that has 3m sides your answer would be 18m
7 0
4 years ago
Suppose each runner ran at the rate given in the table above for 3.1 miles. How much time will elapse between the first place fi
Scilla [17]
You didn't include the table but I found this table for the same statement, so I will answer you based on the next table:

Runner         distance           time

Arabella        7,299 feet        561 seconds
Bettina          3,425 yards     13 minutes, 12 seconds
Chandra       8,214 feet        0,195 hours
Divya            1,62 miles        732 seconds

To answer the question you must find the rate for each runner and then calculate the time to run 3.1 miles at each rate.

First you need to convert the data to obtain the rate in miles per second.

These are the main conversion identities:

1 mile = 5280 feet

1 mile = 1760 yards

1 hour = 3600 seconds

1 hour = 60 minutes

1 minute = 60 seconds

Arabella:

rate: 7,229 feet / 561 seconds * (1 mile / 5280 feet)  =

= 0.00244 mile/second

Time to run 3.1 miles: V = d / t => t = d / V = 3.1 miles / 0.00244 mile/second = 1270 seconds

Bettina:

13 minutes + 12 seconds = 13*60 seconds +12 seconds = 792 seconds

rate = 3425 yards / 792 seconds * 1 mile / 1760 yards = 0.00246 mile/seconds

Time to run 3.1 miles = 3.1 miles / 0.00246 mile/second = 1260 seconds

Chandra:

rate = 8214 feet / 0.195 hours * 1 mile / 5280 feet * 1hour / 3600 seconds =

= 0.00222 seconds

Time = 3.1 mile / 0.00222 seconds = 0.389 hour = 1396 seconds

Divya:

rate = 1.62 miles / 732 seconds = 0.00221 seconds

Time = 3.1 mile / 0.00221 seconds = 1403 seconds

Now you can find the difference between fhe last and the first 1403 seconds - 1260 seconds = 143 seconds

That is equivalent to 2.38 seconds.
6 0
3 years ago
There are 785 students in the senior class. If there are 77 more females in the class than males, how many male and female senio
VLD [36.1K]
There are 431 females

785-77=708
708/2=354
354=males
354+77=431
431=females 
to check work do 431=354 and that equals 785
5 0
3 years ago
What is the domain and range and when is it decreasing?
Alla [95]
The Domain is the left most part of the line to the right most part of the line (the most negative x, to the most positive x). 

The Range is the bottom most part of the line to the top most part of the line (the most negative y, to the most positive y).

Domain - [0,12]
Range - [-2,4]
It starts decreasing at (0,4) and stops decreasing at (3,-2)

Hope I helped!
8 0
3 years ago
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