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denpristay [2]
3 years ago
15

Simplify the following expression. -11x^2+10x-9x^2+6

Mathematics
1 answer:
lesantik [10]3 years ago
7 0
-11x^2+10-9x^2+6
Combining like terms:
(-11x^2 + -9x^2) + (10x) +(6)

You’ll get:

= -20x^2 + 10x+6
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Segment YZ has endpoints (6, 3) and (3, 9). Find the coordinates of the point that divides the line segment directed from Y to Z
fenix001 [56]

Answer:

  (4, 7)

Step-by-step explanation:

The point of interest is ...

  P = (2Z +1Y)/(2+1) = ((2·3+6)/3, (2·9+3)/3)

  P = (4, 7)

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The point that divides the segment into the ratio a:b is the weighted average of the endpoints, with the weights being "b" and "a". The weight of the first end point corresponds to the length of the far end of the segment.

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A 40 N force is applied to an object with a mass of 0.1 kg on a frictionless surface. What is the acceleration of the object?
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Step-by-step explanation:

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4 years ago
An Article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the
Sergio039 [100]

Answer:

The estimate is  P__{hat}} \pm E  = 0.37 \pm 0.0348

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  522

    The sample proportion of students  would like to talk about school is  \r p__{hat}} =  0.37

  Given that the confidence level is  90 % then the level of significance can be mathematically evaluated as

                  \alpha  =  100 - 90

                  \alpha  =  10\%

                  \alpha  =  0.10

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is  

               Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } =  1.645

Generally the margin of error can be mathematically represented as

               E =  Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }

=>            E = 1.645 *  \sqrt{\frac{0.37 (1- 0.37  )}{522 } }

=>             E = 0.0348

Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is  

                       P__{hat}} \pm  E

substituting values

                     0.37 \pm 0.0348

5 0
3 years ago
Find the value of k so that the
BaLLatris [955]

Answer:

gradient =  - 3 \\  - 3 =  \frac{(8 + 1)}{( - 2 - k)}  \\  3(2 + k) = 9 \\ 2 + k = 3 \\ k = 1

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