Which two numbers add up to -24 and multiple to -24

Answers

Answer 1
Answer: x + y = -24
xy = -24

xy = -24
(xy)/(x) = (-24)/(x)
y = (-24)/(x)

x + y = -24
x + (-24)/(x) = -24
(x^(2))/(x) + (-24)/(x) = -24
(x^(2) - 24)/(x) = -24
-24x = x^(2) - 24
0 = x^(2) + 24x - 24
x = \frac{-(24) \± \sqrt{(24)^(2) - 4(1)(-24)}}{2(1)}
x = (-24 \± √(576 + 96))/(2)
x = (-24 \± √(672))/(2)
x = (-24 \± 4√(42))/(2)
x = -12 \± 2√(42)
x = -12 \±  2(6.5)
x = -12 \± 13
x = -12 + 13    or    x = -12 - 13
x = 1    or    x = -25

  x + y = -24      or      x + y = -24
  1 + y = -24    or    -25 + y = -24
- 1           - 1         + 25        + 25
        y = -25        or         y = 1
  (x, y) = (1, -25)  or  (x, y) = (-25, 1)

The two numbers that add up to 24 are the numbers 1 and -25.

x + y = -24
xy = -24

xy = -24
(xy)/(x) = (-24)/(x)
y = (-24)/(x)

x + y = -24
x + (-24)/(x) = -24
(x^(2))/(x) + (-24)/(x) = -24
(x^(2) - 24)/(x) = -24
-24x = x^(2) - 24
0 = x^(2) + 24x - 24
x = \frac{-(24) \± \sqrt{(24)^(2) - 4(1)(-24)}}{2(1)}
x = (-24 \± √(576 + 96))/(2)
x = (-24 \± √(672))/(2)
x = (-24 \± 4√(42))/(2)
x = -12 \± 2√(42)
x = -12 \± 2(6)
x = -12 \± 12
x = -12 + 12    or    x = -12 - 12
x = 0    or    x = -24

  x + y = -24      or      x + y = -24
  0 + y = -24    or    -24 + y = -24
- 0           - 0         + 24        + 24
        y = 24         or         y = 0

The two numbers that multiply to -24 are the numbers 24 and 0.

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When June went to a grocery store, 10% of the total amount she paid was spent on ice cream. Her total bill was40. How much money did June spend on ice cream?

Answers

June spent 20$ on ice cream.

Answer:

4

Step-by-step explanation:

she should have only spent 4 dollars. she spent a total of 40$ and 10%of that was on ice cream. to figure that out divide 40 by 10 percent since it is a fair ratio of 100% you will get 4.

Divide 2 over 3 ÷ 1 over 6 = ____.

Answers

Answer:

4

Step-by-step explanation:

To find the answer we need to do KCF

KCF = Keep Change Flip

2/3 x 6/1 = 12/3

Simplified: 4/1

Answer:

2/3÷1/6

=2/3×6

=2×2

=4

While visiting in New York City, Monica rode in an Uber. The Uber driver charged her a fixed fee of $8 plus $4 for each mile she rode. Which equation could Monica have used to calculate the total cost in dollars as a function of the distance traveled, in miles, m? In addition, what is the range of the function for a maximum 5 mile taxi ride? f of m = 8(m) plus 4, Range: , 0, symbol, f of m, symbol, 28 f of m = 4(m), Range: , 0, symbol, f of m, symbol, 28 f of m = 4(m) plus 8 Range: , 8, symbol, f of m, symbol, 28 f of m = 4(m) plus 12, Range: , 0, symbol, f of m, symbol, 5

Answers

Step-by-step explanation:

The options are not to clear, nevertheless let us model the expression for the cost.

Let y be the total cost

And x be the number of miles

Given that the fixed rate is $8 and $4 for each extra mile traveled

The total cost is

y=8+4x

For a 5 mile journey the cost is

y=8+4(5)

y=8+20

y=28

$28

A line contains the point (-2, 2) and is parallel to the line y = ½x + 8. What is the equation of this parallel line?

Answers

Answer:

y = (1)/(2) x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the line with equation

y = (1)/(2) x + 8 ← in slope- intercept form

with slope m = (1)/(2)

Parallel lines have equal slopes , then

y = (1)/(2) x + c ← is the partial equation of the parallel line

to find c, substitute the point (- 2, 2 ) into the partial equation

2 = (1)/(2) (- 2) + c = - 1 + c ( add 1 to both sides )

3 = c

y = (1)/(2) x + 3 ← equation of parallel line

In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand containing a spade flush.

Answers

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}

=(^(20)C_5)/(^(52)C_5)

=((20!)/(5!15!))/((52!)/(5!47!))

=(15504)/(2598960)

= 0.00597  

Which expression is equivalent to 2 + 3?A) 3 - 2
B) 3 + 2
C) 3(2)
Eliminate
D) 6

Answers

B) 3+2 is the expression equivalent
B) 3 + 2 would be the answer to this question because they are both equivalent.