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Bess [88]
3 years ago
13

Note: Enter your answer and show all the steps

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

f(x)-g(x) = 4x+11

Step-by-step explanation:

Given functions are:

f(x) = -2x+4\\g(x) = -6x-7

We have to find the difference of functions

So,

f(x)-g(x) = -2x+4 - (-6x-7)\\= -2x+4+6x+7\\=-2x+6x+4+7\\=4x+11

Hence,

f(x)-g(x) = 4x+11

Keywords: Functions, Operations on funtions

Learn more about functions at:

  • brainly.com/question/551442
  • brainly.com/question/5503146

#LearnwithBrainly

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The Texas School Supply Company makes composition notebooks for students. The cost to manufacture 6 notebooks is $30. At this ra
Lina20 [59]

Answer:

Step-by-step explanation:

If it costs $30 to make 6 notebooks then that is $5 for each notebook. So multiply $5 times 50 and you get $250.

6 0
3 years ago
A researcher wants to see if birds that build larger nests lay larger eggs. He selects two random samples of nests: one of small
True [87]

Answer:

95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.

Step-by-step explanation:

Confidence interval is given by mean +/- margin of error (E)

Eggs from small nest

Sample size (n1) = 60

Mean = 37.2

Sample variance = 24.7

Eggs from large nest

Sample size (n2) = 159

Mean = 35.6

Sample variance = 39

Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11

Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93

Difference in mean = 37.2 - 35.6 = 1.6

Degree of freedom = n1+n2 - 2 = 60+159-2 = 217

Confidence level = 95%

Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132

E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79

Lower limit = mean - E = 1.6 - 0.79 = 0.81

Upper limit = mean + E = 1.6 + 0.79 = 2.39

95% confidence interval for the difference in average mass is (0.81, 2.39)

3 0
3 years ago
A quadrilateral with no sides parallel and diagonals that are perpendicular
Drupady [299]
<h3>Answer:  Quadrilateral</h3>

======================================================

Explanation:

Of your original given list, let's write down the parallelograms. They are:

  • Parallelogram
  • Rectangle
  • Rhombus
  • Square

So we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.

We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.

Lastly, we can rule out the kite because any kite has perpendicular diagonals.

The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.

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The correct answer would be b
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A 2x is the right answer
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