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alekssr [168]
3 years ago
10

Find a value for b so that the polynomial x^2+ bx + 25 factors to (x + 5)^2.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer:

10 = b

Step-by-step explanation:

Begin by expanding (x + 5)^2

(x + 5)(x + 5)

First: x*x = x^2

Outside: x *  5 (the last term which is a 5)

Inside: 5+ x

Last:  5*5 = 25

x^2 + 5x + 5x + 25

x^3 + 10x + 25

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Table of values for y=2x^2-2x
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Answer:

x= -2, -1, 0, 1, 2\\y= 12, 4,0,0,4

Step-by-step explanation:

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Westkost [7]
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7 0
3 years ago
I need help with solving it
mars1129 [50]

The given equation has a slope of \frac{-9}{7}.  Parallel lines have the same slope.

Point-Slope formula: y - y₁ = m(x - x₁)  ; where (x₁, y₁) is the point and "m" is slope

y - y₁ = m(x - x₁)

y - (-4) = \frac{-9}{7}(x - 2)

y + 4 = \frac{-9}{7}x + \frac{18}{7}

<u>  - 4</u>     <u>       - \frac{28}{7}</u>

   y = \frac{-9}{7}x - <u>\frac{10}{7}</u>


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3 years ago
What is the slope of x+y=7,x-y=8
slava [35]

Step-by-step explanation:

The slop is M= 1÷x-y-xy

5 0
3 years ago
What is the interquartile range of the data set ​
Verizon [17]

There are many methods of doing this. This one finds the median; however, instead of halving, you can use quarters instead.

First order the data, ascendingly:

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Find the median:

For an even number of values: The number of values / 2

For an odd number of values: The number of values + 1 / 2

11 is odd.

11 + 1 / 2

12 / 2 = 6

The median is at the 6th position.

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

The median is 20.

<em>Other method:</em>

<em>You don't need this step.</em>

Using the values lower than the median, exclusive, find the median of the lower values;

For an odd number of values: <u>The number of values + 1 / 2</u>

10, 17, 18, 18, 18

5 + 1 / 2 = 6 / 2 = 3

The median of the lower values is at position 3.

This is the lower quartile.

10, 17, 18, 18, 18

<em>Other method:</em>

<em>For an odd number of values: </em><u><em>The number of values + 1 / 4</em></u>

<em>11 + 1 / 4 = 12 / 4 = 3</em>

<em>10, 17, </em><em>18,</em><em> 18, 18, 20, 20, 25, 25, 30, 30</em>

<em />

Using the values greater than the median, exclusive, find the median:

For an odd number of values: <u>The number of values + 1 / 2</u>

20, 25, 25, 30, 30

5 + 1 / 2 = 6 / 2 = 3

The median of the upper values is at position 3.

20, 25, 25, 30, 30

This is 25.

This is the upper quartile.

<em>Other method:</em>

<em>For an odd number of values: </em><u><em>(The number of values + 1 / 4) * 3</em></u>

<em>(11 + 1 / 4) * 3 = (12 / 4)  * 3 = 3 * 3 = 9</em>

<em>10, 17, 18</em><em>,</em><em> 18, 18, 20, 20, 25, </em><em>25</em><em>, 30, 30</em>

Your interquartile range is 3 - 25

25 - 3 = 21

<h2>21</h2>
8 0
3 years ago
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