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Helga [31]
3 years ago
9

X^2+5x-9=5 which of the following values of x satisfies the equation above?

Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0
It’s -7 because -7^2= 49-35-9=5
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3 0
3 years ago
Identify the class​ width, class​ midpoints, and class boundaries for the given frequency distribution.
Crank

Answer:

a. Class width=4

b.

Class midpoints

46.5

50.5

54.5

58.5

62.5

66.5

70.5

c.

Class boundaries

44.5-48.5

48.5-52.5

52.5-56.5

57.5-60.5

60.5-64.5

64.5-68.5

68.5-72.5

Step-by-step explanation:

There are total 7 classes in the given frequency distribution. By arranging the frequency distribution into the refine form we get,

Class

Interval frequency

45-48 1

49-52 3

53-56 5

57-60 11

61-64 7

65-68 7

69-72 1

a)

Class width is calculated by taking difference of consecutive two upper class limits or two lower class limits.

Class width=49-45=4

b)

The midpoints of each class is calculated by taking average of upper class limit and lower class limit for each class.

M=\frac{lower class limit+upper class limit}{2}

Class

Interval Midpoints

45-48 \frac{45+48}{2}=46.5

49-52 \frac{49+52}{2}=50.5

53-56 \frac{53+56}{2}=54.5

57-60 \frac{57+60}{2}=58.5

61-64 \frac{61+64}{2}=62.5

65-68 \frac{65+68}{2}=66.5

69-72 \frac{69+72}{2}=70.5

c)

Class boundaries are calculated by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class interval.

Class

Interval Class boundary

45-48 44.5-48.5

49-52 48.5-52.5

53-56 52.5-56.5

57-60 56.5-60.5

61-64 60.5-64.5

65-68 64.5-68.5

69-72 68.5-72.5

7 0
3 years ago
A painting is 20 cm wider than the height and 576 cm² write a representation using variable x ​
skad [1K]

Answer:

For x = height:

x(x + 20) = 576.

Step-by-step explanation:

The area is 576 cm^

Area = width * height

Let the height be x,  then the width is (x + 20) cm

So the expression for the area can be written

x(x + 20) = 576.

5 0
3 years ago
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A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.
fomenos

Answer:

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Step-by-step explanation:

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Answer:

9 {x}^{2}  + 24x + 18

Step-by-step explanation:

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