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mr Goodwill [35]
2 years ago
14

How many solutions does this equation have? –2b − 9 = –b

Mathematics
1 answer:
RideAnS [48]2 years ago
6 0

Answer:

b= -3

b=3/2=1.500

Step-by-step explanation:

step 1 . b • (2b + 3) -  9  = 0

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   3 .

     -18    +    1    =    -17  

     -9    +    2    =    -7  

     -6    +    3    =    -3  

     -3    +    6    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  6  

                    2b2 - 3b + 6b - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   b • (2b-3)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2b-3)

Step-5 : Add up the four terms of step 4 :

                   (b+3)  •  (2b-3)

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mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368,  321

Number of data values = 9

Mean :\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}

\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56

Variance = \dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}

\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224

Variance = \dfrac{27394.2224}{8}=3424.2775\approx3424.28

4 0
3 years ago
What is 9% as a fraction or mixed number?
butalik [34]

Percentage is always out of 100 so

9% is 9/100.

9% cannot be a mixed number.

7 0
3 years ago
Think about all the ways in which a line and a parabola can intersect select all the numbers of ways in which a line in a parabo
creativ13 [48]

Answer:

0, 1, 2

Step-by-step explanation:

There is a way for them to intersect at 0 points, for example y=x^2 and y = -1

The way to intersect at 1 point is for the linear function to be tangent to the parabola, like y = x^2 and y = 0

The way to intersect 2 points is just for the linear function to be a secant to the parabola, like y = x^2 and y = 1

4 0
3 years ago
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Anestetic [448]

Answer:

719

Step-by-step explanation:

726

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Which explains whether or not the graph represents a direct variation?
Alenkasestr [34]

The line passes through the origin and if it has a constant of variation of 3, so it represents a direct variation , Option A is the correct answer.

<h3>What is Direct Variation ?</h3>

When a quantity increases and the other quantity also increases , then those two quantities are said to be in direct variation.

It is asked in the question that which option depicts whether On a coordinate plane, a line goes through points (0, 0) and (1, 3) , represents a direct variation

As it is mentioned in the question that the line passes through the origin and if it has a constant of variation of 3, so it represents a direct variation.

To know more about Direct Variation

brainly.com/question/14254277

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