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scZoUnD [109]
3 years ago
14

What are the square roots of the equation x^2 + 6x - 9 = 0? PLEASE HELP!!!

Mathematics
1 answer:
pogonyaev3 years ago
3 0
X^2+ 6x - 9 = 0

Use the quadratic formula
x = (<span><span>−b± sqrt (<span>b^2−4ac​</span></span>​)) / 2a
</span>
a =  1
b = 6
c = -9

x = −6± sqrt (6^2−4(1)(-9​​) / 2(1)
x = (−6± sqrt(72))/2

so these are your two solutions to the equation
x = 1.243
x = -7.243

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In her free time, isabelle likes to read. she kept track of the number of pages in each book she read last summer. this box plot
Free_Kalibri [48]

200 is the median (50%) of the data represented in the box plot. The fraction of the books has 200 or fewer pages is: 1/2.

<h3>What is the Median of a Data in a Box Plot?</h3>

In a box plot, the median is indicated as the value marked by the vertical line that divides the rectangular box of the box plot.

The median is the middle of the data and represents the 50th percentile. That is 1/2 the data.

In the box plot given, 200 pages is the median. Therefore, the fraction of the books that have 200 or fewer pages is: 1/2.

Learn more about box plot on:

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8 0
2 years ago
How to find the equation of this line?
Bad White [126]

Answer:

y = - \frac{6}{7} x - \frac{10}{7}

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 )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

m = \frac{-4-2}{3+4} = - \frac{6}{7} , thus

y = - \frac{6}{7} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ), then

2 = \frac{24}{7} + c ⇒ c = 2 - \frac{24}{7} = - \frac{10}{7}

y = - \frac{6}{7} x - \frac{10}{7} ← equation of line

5 0
3 years ago
Solve | X-4| &lt; 3 and graph the solution​
Westkost [7]

Answer:

Add 4 to both sides

x<7

Step-by-step explanation:

3 0
3 years ago
If a coin tossed 300 times .Then the nearest expected number for the tail to appear is
Eva8 [605]

Step-by-step explanation:

I think you can solve this question now

8 0
3 years ago
Find the inverse function of h(x) = -2/3x + 6.
nalin [4]

Answer:

h^{-1}(x)=-\frac{3}{2}x+9

Step-by-step explanation:

To find inverse of a function, follow the steps below:

1. replace h(x) with y

2. Interchange x and y

3. Solve for the new y

4. Replace y to h^{-1}(x) (this is the inverse function)

<u>Step 1:</u> y = -2/3x+6

<u>Step 2:</u> x = -2/3y+6

<u>Step 3:</u>

x=-\frac{2}{3}y+6\\\frac{2}{3}y=-x+6\\y=\frac{-x}{\frac{2}{3}}+\frac{6}{\frac{2}{3}}\\y=-\frac{3}{2}x+9

<u>Step 4:</u>

y=-\frac{3}{2}x+9\\h^{-1}(x)=-\frac{3}{2}x+9

This is the inverse function.

3 0
3 years ago
Read 2 more answers
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