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
Arlecino [84]
3 years ago
13

What are the solutions to. x^2 - x - 20 = 0

Mathematics
1 answer:
nignag [31]3 years ago
3 0

Step-by-step explanation:

<em>x² - x - 20 = 0</em>

<em>x²</em><em> </em><em>-</em><em> </em><em>(</em><em>5</em><em>-</em><em>4</em><em>)</em><em> </em><em>x </em><em>-</em><em> </em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em>x²</em><em> </em><em>-</em><em> </em><em>5x </em><em>+</em><em> </em><em>4x </em><em>-</em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>+</em><em> </em><em>4</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>(</em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>(</em><em>x+</em><em> </em><em>4)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>Either</em><em>. </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>

<em>x </em><em>-</em><em> </em><em>5</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>=</em><em> </em><em>5</em>

<em>Or, </em>

<em>x </em><em>+</em><em> </em><em>4</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em>x </em><em>=</em><em> </em><em>-</em><em>4</em>

You might be interested in
MAX POINTS
mrs_skeptik [129]

Let's do

\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k

Release k for some while

If

  • we take h=0

So

  • y=3/x

So vertical asymptote is at origin now

It mentioned that it's at x=-5 so we need to change x

  • put -5 in place of h

\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}

\\ \rm\dashrightarrow y=\dfrac{3}{x+5}

  • Vertical asymptote at x=-5

Now

  • for k=0 horizontal asymptote at origin

But it's given

  • y is at 12

Same put y=12 in place of k

\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12

  • h=-5
  • k=12

Graph attached for verification

3 0
2 years ago
The table shown below represents a function. Which of the following values could not be used to complete the table?
11111nata11111 [884]

Answer:

The answer to your question is: letter B

Step-by-step explanation:

Function definition: a function is a relation from a set of inputs to a set of outputs.

The most important about functions is that each input is related to one and only one output. Then there are not repeated values of inputs.

In the exercise, the inputs are -10, -25, -5, and the outputs are 5, 10, 15 and 20.

So, to solve this exercise, look for a number in the options that will not be repeated in the inputs,

Then,  

          - 20 is a possible option because is not repeated

           -5    is not an option to complete the table because 5 already exist.

          - 15 is a possible option because is not repeated previously.

3 0
3 years ago
100 points! Evaluate the equation. Look at the picture. Do #7.
Murrr4er [49]
10C6 = 10!/(6!*(10-6)!) = 10*9*8*7/(4*3*2*1) = 210

There are 210 ways to choose 6 from a group of 10.
6 0
3 years ago
Read 2 more answers
to angie's ladder was 22 feet tall above the ground lying against the wall of her house.the base of the ladder was 5 feet tall.w
Talja [164]

Answer:


Step-by-step explanation:

Okay, so attached is a diagram of the triangle we are solving. Because buildings are almost always perpendicular (90 degrees) to the ground, it is a right triangle.

You can now use the pythagorean theorem with the sides to fill in the other side:


a^2+ b^2= c^2

5^2 + b^2= 22^2

25+b^2=484

b^2= 459

b=21.42


Okay, so for slope you need 2 points- think of the wall as your y axis, and the ground as your x axis. The ladder is the line.

Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).

The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.

Okay so far? :)

(-5,0) and (0, 21.42)

(x1, y1) and (x2, y2)

slope= (y2-y1)/(x2-x1)

slope= (21.42-0)/ (0-(-5)) ---- becomes positive

slope= 4.284

(Note: slope could also be negative if you put the ladder on the other side of the wall- 5 would become positive... google "positive vs negative slopes" for more info)


Hopefully that answers your question!

3 0
3 years ago
Please help! I will give brainliest to the first correct answer!
Leviafan [203]

Answer:

A)

Step-by-step explanation:

check that the formula in A works . . .

the 7th term should be 320

a(320) = 5(2)^7-1

= 5(2)^6

= 5(64)

= 320

6 0
3 years ago
Other questions:
  • Write three Powers that have values greater than 120 and less then 130
    13·1 answer
  • Please help with number 25
    13·1 answer
  • Tareq pays 22.10 for 2.6 pounds of salmon.what is the price per pound of the salmon
    6·2 answers
  • What is the equation of a line that has a slope of one and passes through point (5,3)?
    11·2 answers
  • the perimeter of a rectangle is given by the formula p=2L+2Wwhete L is the lenght and W is width solve for L in the terms of P a
    13·2 answers
  • At the popular restaurant Fire Wok,
    9·2 answers
  • This is my last question i need help with ops help SOMEONEEEE
    14·1 answer
  • If mZTXS = 61°, then what is mZSXU?
    8·1 answer
  • Soit les expressions A et B connues par :
    6·1 answer
  • What is the euclidean distance between x(3,2,5) and y(2,3,3) in three dimensional space?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!