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
HACTEHA [7]
2 years ago
11

Rewrite y = x2 + x - 20 in factorized form.

Mathematics
2 answers:
Natalija [7]2 years ago
7 0

Answer:

y = (x + 5)(x - 4)

Step-by-step explanation:

Given

y = x² + x - 20

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 1)

The factors are + 5 and - 4, since

5 × - 4 = - 20 and 5 - 4 = + 1, thus

x² + x - 20 = (x + 5)(x - 4)

Tcecarenko [31]2 years ago
3 0

Answer:

y = x2 + x - 20 factors into

y = (x +5) * (x -4)

Step-by-step explanation:

You might be interested in
Solve the triangle. A = 54°, b = 11, c = 8
Delicious77 [7]
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.

For finding side a, you can answer this easily by the Law of Cosines. The equation is

a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9 

Then, we use the Law of Sines to find angles B and C. The formula would be

a/sinA = b/sinB = c/sinC
9/sin54° =  11/sinB
B = 80.4°

9/sin54° = 8/sinC
C = 45.6°

The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
5 0
3 years ago
Alexandra and Stephanie are sisters, and they're saving their money to buy a used car. Together they have more than $2,500, and
Vilka [71]

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns:  a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

7 0
2 years ago
What is the value of angle C
Juli2301 [7.4K]

Answer:

around 190

Step-by-step explanation:

6 0
2 years ago
Which expression is equivalent to<br> 4x + ?<br> o 1(-x+2)<br> o 1(-2+ 3)<br> -1(-x+ )<br> - (x + 2)
slavikrds [6]

Answer:

Definitely Option A.

When you expand the bracket of Option A... You have your equation

Which is

-1/4x + 1/2.

7 0
3 years ago
1.What are the zeros of the polynomial function?
Lorico [155]
Let's to the first example:

f(x) = x^2 + 9x + 20

Ussing the formula of basckara

a = 1
b = 9
c = 20

Delta = b^2 - 4ac

Delta = 9^2 - 4.(1).(20)

Delta = 81 - 80

Delta = 1

x = [ -b +/- √(Delta) ]/2a

Replacing the data:

x = [ -9 +/- √1 ]/2

x' = (-9 -1)/2 <=> - 5

Or

x" = (-9+1)/2 <=> - 4
_______________

Already the second example:

f(x) = x^2 -4x -60

Ussing the formula of basckara again

a = 1
b = -4
c = -60

Delta = b^2 -4ac

Delta = (-4)^2 -4.(1).(-60)

Delta = 16 + 240

Delta = 256

Then, following:

x = [ -b +/- √(Delta)]/2a

Replacing the information

x = [ -(-4) +/- √256 ]/2

x = [ 4 +/- 16]/2

x' = (4-16)/2 <=> -6

Or

x" = (4+16)/2 <=> 10
______________

Now we are going to the 3 example

x^2 + 24 = 14x

Isolating 14x , but changing the sinal positive to negative

x^2 - 14x + 24 = 0

Now we can to apply the formula of basckara

a = 1
b = -14
c = 24

Delta = b^2 -4ac

Delta = (-14)^2 -4.(1).(24)

Delta = 196 - 96

Delta = 100

Then we stayed with:

x = [ -b +/- √Delta ]/2a

x = [ -(-14) +/- √100 ]/2

We wiil have two possibilities

x' = ( 14 -10)/2 <=> 2

Or

x" = (14 +10)/2 <=> 12
________________


To the last example will be the same thing.

f(x) = x^2 - x -72

a = 1
b = -1
c = -72

Delta = b^2 -4ac

Delta = (-1)^2 -4(1).(-72)

Delta = 1 + 288

Delta = 289

Then we are going to stay:

x = [ -b +/- √Delta]/2a

x = [ -(-1) +/- √289]/2

x = ( 1 +/- 17)/2

We will have two roots

That's :

x = (1 - 17)/2 <=> -8

Or

x = (1+17)/2 <=> 9


Well, this would be your answers.


7 0
3 years ago
Other questions:
  • Evaluate 10-8(11+9)/16
    12·2 answers
  • An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance trav
    5·1 answer
  • 15+w=3w-11 then solve for w
    8·2 answers
  • 1. Which of the following represents a function?
    15·2 answers
  • !50 POINTS!
    9·1 answer
  • 5) A book is sold at $152.50 and a discount of 9% is given for students.
    11·1 answer
  • 36 irrational or rational and why?
    12·2 answers
  • What is the answer to <br> x^{2} + 2x + 15 = 0
    5·1 answer
  • Zoey needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3
    14·1 answer
  • the radius of circle r is 7 inches and the diameter of circle k is 14 inches. what is the relationship between circle r and circ
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!