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3 years ago

12

Rebecca had these results when she drew 10 tiles from the bag. The bag has a total of 20 tiles. Her classmates got similar resul

ts. What is a good predication for the number of green and red tiles out of 20?
10 green 10 red

15 green 5 red

14 green 6 red

12 green 8 red

2 answers:

7nadin3 [17]3 years ago

8 0

Answer: 15 green 5 red

Step-by-step explanation:

if its less likely to pull red than green you would to chose the lowest amount

Travka [436]3 years ago

8 0

15 green 5 red I did this yesterday

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4 / 25 = 0.16 gallons per chair.

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3 years ago

Using a graphing utility, find the exact solutions of the system. Round to the nearest hundredth and choose a solution to the sy

Margaret [11]

Answer:

Part 1) The exact solutions are

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ and $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Part 2) (1.79, 8.58)

Step-by-step explanation:

we have

$y=x^{2} +3x$ ----> equation A

$y=2x+5$ ----> equation B

we know that

When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

<em>Find the exact solutions of the system</em>

equate equation A and equation B

$x^{2} +3x=2x+5\\x^{2} +3x-2x-5=0\\x^{2} +x-5=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-5=0$

so

$a=1\\b=1\\c=-5$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-5)}} {2(1)}$

$x=\frac{-1\pm\sqrt{21}} {2}$

so

The solutions are

$x_1=\frac{-1+\sqrt{21}} {2}$

$x_2=\frac{-1-\sqrt{21}} {2}$

<em>Find the values of y</em>

<em>First solution</em>

For $x_1=\frac{-1+\sqrt{21}} {2}$

$y=2(\frac{-1+\sqrt{21}} {2})+5$

$y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}$

The first solution is the point $(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$

<em>Second solution</em>

For $x_2=\frac{-1-\sqrt{21}} {2}$

$y=2(\frac{-1-\sqrt{21}} {2})+5$

$y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}$

The second solution is the point $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Round to the nearest hundredth

<em>First solution </em>

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ -----> $(1.79,8.58)$

$(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$ -----> $(-2.79,-0.58)$

see the attached figure to better understand the problem

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4 years ago

If 5x-8=7, what is the value of 5x+8 ( EXPLAINING NEEDED)

ale4655 [162]

Answer:

$5x+8=23$

Step-by-step explanation:

we have

$5x-8=7$

Adds 16 both sides

$5x-8+16=7+16$

$5x+8=23$

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3 years ago

a line with the slope of -5 passes through the points (-3, -5) and (-4, teat parentheses. What is the value of t

Setler79 [48]

Step-by-step explanation:

First, find the slope using the slope formula

m = (Y2 - Y1)/(X2 - X1).

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Y - Y1 = m(X - X1), with one of the given

points and the slope. Also, solve for y.

Use Y - Y1 = m(X - X1)

Also, solve for y.

Find the slope of the given line, m, by rewriting the given equation in y = mx + b. Flip and change the sign on the given slope to find the new slope.

Use Y - Y1 = m(X - X1)

Plug in the given point and new slope

and solve for y.

Plot points or graph line. Move a vertical line across the graph. If the line touches more than once then it is not a function.

Domain = { x-values, ... }

Range = { y-values, ... }

List the elements in increasing order and don't repeat.

For this class, the domain is all real numbers unless you have an x in the denominator of a fraction.

When x is in the denominator, set the denominator equal to zero and solve. Everything on a number line works except the value(s) you got when solving.

Answer: (- infinity, #) u (#, infinity)

Parentheses everywhere b/c the number # does not work in the equation.

Domain: Squish the graph to the x-axis. Write shaded part in interval notation (left, right)

Range: Squish the graph to the y-axis. Write shaded part in interval notation (down, up)

Brackets include points, parentheses don't. Infinities always get parentheses.

Write both equations in the style y = mx + b.

Look at the slopes, m, to answer the question.

If the slopes are the same, then they are parallel.

If the slopes are negative reciprocals, then they are perpendicular. Otherwise, neither.

If you have an equal to under the inequality, then you have a solid boundary line. If you don't have an equal to under the inequality, then you have a dotted boundary line.

After you have graphed the boundary line and determined if it is solid or dotted, find a test point on either side of the boundary line. Substitute the ordered pair into the original inequality. If it simplifies down to a true statement, shade the region where that point is. If it is false, shade the region that does not contain that point.

7 0

3 years ago

Find the slope please

tamaranim1 [39]

Answer:

slope = 2/5

Step-by-step explanation:

The rise is 2

The run is 5

8 0

2 years ago