1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrey2020 [161]
3 years ago
7

N^2-5n-24show all work​

Mathematics
1 answer:
romanna [79]3 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"

so

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

so

n(n-8)

gcf of group 2: 3

so

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

so

n+3=0

n=-3

n-8=0

n=8

hence n=-3,8

Hope this helps!

You might be interested in
A pole, 4m high, stands, vertically, on
Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

6 0
3 years ago
What is 2(10) + 2(x – 4) simplified
Digiron [165]
20+2x-8

Answer: 12+2x
5 0
1 year ago
11y^2-19y-10=-4y^2 <br> all real solutions
tangare [24]

Answer:

y=5/3 is the only real solution

Step-by-step explanation:

Solve for y over the real numbers:

11 y^2 - 19 y - 10 = -4 y^2

Add 4 y^2 to both sides:

15 y^2 - 19 y - 10 = 0

The left hand side factors into a product with two terms:

(3 y - 5) (5 y + 2) = 0

Split into two equations:

3 y - 5 = 0 or 5 y + 2 = 0

Add 5 to both sides:

3 y = 5 or 5 y + 2 = 0

Divide both sides by 3:

y = 5/3 or 5 y + 2 = 0

Subtract 2 from both sides:

y = 5/3 or 5 y = -2

Divide both sides by 5:

Answer: |

| y = 5/3 or y = -2/5

4 0
3 years ago
In the typing world,80 words per minute is considered acceptable.how many words per 30 minutes is this
lukranit [14]
W = words per minute = 80
t = time in minutes = 30

The total number of words per 30 minutes is w*t = 80*30 = 2400 words
8 0
3 years ago
A ,b, c, d , e, help please
Lelu [443]

Answer:

a= 131 21/30

b= 132 21/30

c= 132

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the slope and y-intercept of a vertical line
    5·1 answer
  • 1.) p^2+14p-38=0<br> what the vertex?
    11·1 answer
  • If you are trying to move an attached term across the equal sign (=), what operation would you use to move it?
    11·1 answer
  • Remainder theorem: P(x) is a polynomial. Here are a few values of P(x):
    5·1 answer
  • Big sale 20% off what percent of the regular price is taken off ?
    8·1 answer
  • I was to lazy to type it out please let me know if you cant see it.
    9·1 answer
  • Question is on the photo
    14·1 answer
  • Can someone help me? <br><br> My teacher said to put in simplisit form. and not to estimate.
    13·1 answer
  • How many things can happen if you spin the spinner three times and flip the coin three times?
    10·1 answer
  • Solve the inequality. Graph and check your solutions.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!