All categories

2 years ago

N^2-5n-24show all work

Mathematics

1 answer:

romanna [79]2 years ago

8 0

Answer:

-3,8

Step-by-step explanation:

1) we can factor this since this quadratic function is in the form of

ax^2+bx+c

where we need to find out what*what=c

and what+what=b

since c is -24 and b is -5 we need to figure out the factors of -24 which equal -5:

-8+3=-5

and

-8*3=-24

hence -8 and 3 is our factors, next we will substitute them in place of "b"

n^2-8n+3n-24

split this equation in two groups:

group 1) n^2-8n

group 2) 3n-24

gcf of group 1= n

n(n-8)

gcf of group 2: 3

3(n-8)

next take numbers outside of parentheses and group them together:

so (n+3) (n-8)=0

since anything times 0 is equal to 0, either (n+3) is 0 or (n-8) is 0

n+3=0

n=-3

n-8=0

n=8

hence n=-3,8

Hope this helps!

You might be interested in

Please help me i need it fast

aev [14]

Answer:

20x^3/4x7

20/4x^4

5/x^4

Step-by-step explanation:

7 0

3 years ago

How would I set up the problem "Two trains Leave a stations at 10:00am heading in opposite directions. One train is going 80mph

JulijaS [17]

Distance = rate x time
425 miles = (80mph + 90mph) x Time (t)
425 = 170t
t = 2.5 hours

You are trying to solve for time (t)

Therefore, 10am + 2.5 hours = 12:30pm

7 0

2 years ago

the area of a circle is 28pi cm^2. find the area of a circle with a radius half the length of the original circle.

Verdich [7]

Answer:

The area of circle with radius half of original circle is 7 π cm² .

Step-by-step explanation:

Given as :

The Area of original circle = 28 π square centimeter

Let The radius of original circle = R

Let The area of circle with radius half of original circle = A square centimeters

Let The radius of circle with radius half of original circle = R'

Now, According to question

∵ Area of original circle = π × radius²

So, 28 π cm² = π × R²

Or, R² = $\frac{28\times \Pi }{\Pi }$

Or, R² = 28 cm²

∴ R = $\sqrt{28}$ cm

i.e R = 2 $\sqrt{7}$ cm

So, The radius of original circle = R = 2 $\sqrt{7}$ cm

<u>Again</u>

∵ The radius of circle with radius half of original circle = R'

So, R' = $\dfrac{R}{2}$

i.e R' = $\frac{2\sqrt{7}}{2}$

∴ R' = $\sqrt{7}$ cm

So, The area of circle with radius half of original circle = π × R'²

i.e A = π × R'²

Or, A = π ×( $\sqrt{7}$ ) ²

or, A = π × 7

So, The area of circle with radius half of original circle = 7 π cm²

Hence The area of circle with radius half of original circle is 7 π cm² . Answer

5 0

3 years ago

Hi if your really smart and want a challenge please help me answer this ;)

sleet_krkn [62]

Answer what there’s nothing

3 0

3 years ago

One shelf at Cover-to-Cover Bookstore contains copies of several books on the best-seller list. Half of the books on the shelf a

ra1l [238]

Answer:

The number of best sellers on the shelf are 13.333 best sellers

Step-by-step explanation:

The question is a word problem with the following specifications;

Proportion of the books, B, on the shelf that are number 1 best seller = 1/2 of B

Proportion of the books that are Number 3 book = 1/4 of (1 - 1/2) of B

Proportion of the books that are Number 2 book = 1/2 - 1/4 of (1 - 1/2) of B

Given that there are 5 copies of Number 2 book we have;

1/2 - 1/4 × (1 - 1/2) × B = 3/8 × B = 5

Which gives the number of best sellers on the shelf as B = 40/3 books

If there is a grammatical misunderstanding, we should have;

There appear to be an error in grammar as the statement maybe should have read as follows

Half of the books on he shelf are copes of the Number 1 best seller. The remainder are 1/4 copies of the Number 3 book.....

Which gives;

Proportion of the books that are Number 3 book = 1/4 of B

Proportion of the books that are Number 2 book = (1 - 1/2 - 1/4) of B

Given that there are 5 copies of Number 2 book we have;

(1 - 1/2 - 1/4) × B = 1/4 × B = 5

Which gives the number of best sellers on the shelf as B = 20 books.

5 0

3 years ago

N^2-5n-24show all work​

N^2-5n-24show all work