Which two numbers add up to 5 and multiply to -45 ?

Answers

Answer 1

Answer: we have x+y=5
xy=-45
solve
x+y=5
subtract x from both sides
y=-x+5
subsiute -x+5 for y in second equaiton
x(-x+5)=-45
-x^2+5x=-45
add 2x^2-5x to both sides
0=x^2-5x-45
use quadratic equation which is
if you have 0=ax^2+bx+c then x= $\frac{-b+ \sqrt{b^(2)-4ac} }{2a}$ or $\frac{-b- \sqrt{b^(2)-4ac} }{2a}$
sbsitute
1x^2-5x-45
a=1
b=-5
c=-45
subsitute
$\frac{-(-5)+ \sqrt{-5^(2)-4(1)(-45)} }{2(1)}$
$(5+ √(25-(-180)) )/(2)$
$(5+ √(25+180) )/(2)$
$(5+ √(205) )/(2)$

or $\frac{5- \sqrt{} }{2}$ or aprox x=-4.65891 or 9.65891, so the 2 numbers would be those answers for x

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Factor completely 20x^3+12x^2+5x+3

Answers

I did it with an online calculator and it said x^2(25x+12). Hope that helps.

The probability that Shelly will go to a movie (event A) on Friday is 0.78, and the probability that Danielle will go to a movie (event B) the same day is 0.63. The probability that Shelly will go to a movie, given that Danielle goes to a movie, is 0.87. Which statement is true?
a. Events A and B are independent because P(A|B) ≠ P(A).
b. Events A and B are independent because P(A|B) = P(B).
c. Events A and B are dependent because P(A|B) = P(A) x P(B).
d. Events A and B are dependent because P(A|B) ≠ P(A).
e. Events A and B are dependent because P(A|B) = P(A).

Answers

The right answer for the question that is being asked and shown above is that: "c. Events A and B are dependent because P(A|B) = P(A) x P(B)."The probability that Shelly will go to a movie, given that Danielle goes to a movie, is 0.87.

Answer:

Events A and B are independent because P(A and B) = P(A) × P(B).

Step-by-step explanation:

plato/edmentum

Which of the graphs below represent the function f(x) = x3 − 5x2 + 2x + 8? You may sketch the graph to compare. graph going through x axis at negative 2, positive 1, and 3. Passes through y axis at 6. graph going through x axis at negative 1, positive 2, and 4. Passes through y axis at 8. graph going through x axis at negative 2, positive 1, and 3. Passes through y axis at negative 6. graph going through x axis near negative 2. Passes through y axis at 8.

Answers

The graph of the function f(x) = x³ - 5x² + 2x + 8 passes through y axis at 8. graph going through x axis at -1 , 1, and 3.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The graph of the function f(x) = x³ - 5x² + 2x + 8 passes through y axis at 8. graph going through x axis at -1 , 1, and 3.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

Choose the correct sum of the polynomials (3x3 − 5x − 8) + (5x3 + 7x + 3).8x3 + 2x + 5
2x3 − 12x − 11
2x3 + 12x − 5
8x3 + 2x − 5

Answers

The sum of the polynomials are $8x^(3)+2x-5$

Summation of Polynomials:

To find the sum of polynomials we have to add like terms.

Like terms are those terms which have same variable with same exponent power.

Given polynomials are,

$(3x^(3)-5x-8 )+(5x^(3)+7x+3 )\n\n=3x^(3)+5x^(3)-5x+7x-8+3\n \n =8x^(3)+2x-5$

Learn more about the polynomials here:

brainly.com/question/2833285

Answer:

Sum of the polynomials is $8x^3+2x-5$

D is the correct option.

Step-by-step explanation:

The given polynomial is $(3x^3-5x-8)+(5x^3+7x+3)$

Distribute plus over the parenthesis

$3x^3-5x-8+5x^3+7x+3$

Group the like terms.

$3x^3+5x^3-5x+7x-8+3$

Combine the like terms

$8x^3+2x-5$

Hence, the sum of the polynomials is $8x^3+2x-5$

D is the correct option.

X+7>(-2) set to zero

Answers

Answer:

Step-by-step explanation:

ijiji

A pizza is divided into 12 equal slice.4 slices have mushrooms only.
2 slices have mushrooms and pepperoni.
6 slices have pepperoni only.
write two equivalent fractions to describe the parts of the pizza with
mushrooms only : ____________ and _________
pepperoni only : ___________ and _________
mushrooms and pepperoni : ____________ and ______________ .

Answers

The equivalent fractions for only mushroom, only pepperoni and mushrooms and pepperoni are given as 1/3, 2/6, 1/2, 2/4, 1/6, 2/12 respectively.