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Stella [2.4K]
3 years ago
12

Which of the following is a solution of x2 + 5x = −2? (2 points)

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

Answer:

i don't understand the question, please explain more

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Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4
steposvetlana [31]

f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}


\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}

6 0
3 years ago
Read 2 more answers
PLEASE HELP! which answer is correct??
Solnce55 [7]
Option( c ) is the correct one.
-2x +y= -3
x= (3+y)/2
By executing the value in second equation
{-(3+y)/2} +2y =3
( -3-y +4y)/2 =3
-3 +3y =6
3y = 9
y = 3
Again by substituting the value of y in any of the equation
-2x +y =-3
-2x =-6
x= 3.
7 0
3 years ago
A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $
Aloiza [94]

Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

<h3>Definition of inequality</h3>

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

  • greater than >.
  • less than <.
  • less than or equal to ≤.
  • greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

<h3>Number of people who can go to the amusement park</h3>

In this case, you know that:

  • A group of friends has no more than $65 to spend on parking and admission.
  • Parking is $9.75, and tickets cost $16.25 per person, including tax.

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

<u><em>p≤ 3.4</em></u>

Finally, the number of people who can go to the amusement park is 3.

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/25275758

brainly.com/question/14361489

brainly.com/question/1462764

#SPJ1

4 0
2 years ago
Jimmy earns $9.25 per hour working at a local grocery store. If Jimmy earned $74 last week, which equation would be used to dete
Alekssandra [29.7K]
9.25h=74 you multiply h by 9.25
8 0
3 years ago
Please help!!
kherson [118]

Answer:

Negative correlation

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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