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solniwko [45]
4 years ago
5

PLEASE HELP Solve. x^2+9x+2=0

Mathematics
1 answer:
Nataliya [291]4 years ago
8 0

Answer:

x = (1/2) (-9 ± √73)

Step-by-step explanation:

Using completing the square method

x²+9x+2=0

x²+9x = -2   (complete the square by adding (9/2)² to both sides)

x²+9x + (9/2)² = -2 + (9/2)²

( x + (9/2) )² = -2+ (9/2)²

( x + (9/2) )² = -2+ (81/4)

( x + (9/2) )² = 73/4

x + (9/2)  = ± √(73/4)

x + (9/2)  = ± √(73) / 2

x = -(9/2) ± √(73) / 2  (factorize out (1/2) )

x = (1/2) (-9 ± √73)

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kenny6666 [7]
X - (9x -10) + 11 = 12x + 3( -2 + 1/3)
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8 0
3 years ago
The local softball field has a lemonade stand. The graph shows the amount of money in the cash register of the lemonade stand.
Alexxandr [17]

1.

<h3>The y-intercept</h3>

The y-intercept is $35.

The y-intercept of a straight line graph is the point at which the graph intercepts the y-axis.

So, from the graph, the y-intercept is $35.

2.

<h3>The meaning of y-coordinate</h3>

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

Since the y-intercept represents the point at which the graph intercepts the y-axis and then the x- value is zero, the y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

3.

<h3>The slope</h3>

The slope is 2.5

Since we are given two points on the line, the slope m of a line given two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

From the graph, (x₁, y₁) = (3, 42.5) and (x₂, y₂) = (9, 57.5)

So, substituting these values into the equation for m, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (57.5 - 42.5)/(9 - 3)

m = 15.0/6

m = 2.5

The slope is 2.5

4.

<h3>Meaning of the slope</h3>

The slope represents the rate at which the lemonade is sold

Since the y-axis represent the amount of money in the cash register and the x-axis represents the number of cups of lemonade sold, the slope represents the rate at which the lemonade is sold.

The slope represents the rate at which the lemonade is sold

Learn more about straight-line graphs here:

brainly.com/question/14808962

8 0
2 years ago
The first drop down: (x-12),(x-80), (80-x), (12-x)
Mice21 [21]

Answer:x=12 and 68$

Step-by-step explanation:

4 0
3 years ago
What is the equation of the line that passes through the point (-5,5)and has a slope of -1
erastova [34]

Answer:

<h2>           y = - x  </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -1

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The point-slope form of the equation:

y - 5 = -1(x + 5)

So:

y - 5 = -x - 5         {add 5 to both sides}

y = -x             ←  the slope-intercept form of the equation

3 0
3 years ago
Ida is cutting a 11/12 foot wooden board into 3/16 foot sections to do some detail work on a model she is building. How many who
zlopas [31]
You have to give them the same denominator so multiply 11/12 by 4 and 3/16 by 3. giving you 44/48 and 9/48. then divied 44 by 9 giving you 4.8888
there for there are 4 whole 3/16 sections of the 11/12 board
3 0
4 years ago
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