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Drupady [299]
3 years ago
5

Factor the expression

Mathematics
1 answer:
Levart [38]3 years ago
6 0

Step-by-step explanation:

Given

6x² + 5x + 1

= 6x² + ( 2 + 3)x + 1

= 6x² + 2x + 3x + 1

= 2x ( 3x + 1 ) + 1 ( 3x + 1)

= ( 3x + 1) ( 2x +1)

Hope it will help :)

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A rectangular room measures 14 feet by 144 inches. Edgar said the area of the room is 2,016 square feet. Explain his mistake, th
valina [46]
Change the inches into feet. There are 12 inches in a foot so divide 144 by 12. That gives you 12, so then multiply 12 by 14. You are left with 168 feet.
4 0
3 years ago
Read 2 more answers
You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8
Firlakuza [10]

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

  • Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

  • Thus, Margin of error  = Z_{critical} × σ / √n  (Z_{critical} at α=.010 is 1.645)

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

8 0
2 years ago
1-25. Given f(x) =- 2/3x +3 and g(x) = 2x2 - 5, complete parts (a) through (f).
Korolek [52]

Answer:

When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.

Step-by-step explanation:

f(x)=-\frac{2}{3x}+3

a) f(3)=-\frac{2}{2(3)} +3

           =-\frac{1}{3}+3 =\frac{-1+6}{3} =\frac{5}{3}

b) f(x)=-5

      -5=-\frac{2}{3x}+3

      -8=-\frac{2}{3x}

  -24x=-2

        x=\frac{1}{12}

g(x)=2x-5

c) g(-3)=2(-3)-5

               =-6-5

               =-11

d) g(x)=-7

      -7=2x-5

      -2=2x

        x=-1

e) g(x)=8

        8=2x-5

       12=2x

        x=6

f)  g(x)=9

         9=2x-5

        11=2x

         x=\frac{11}{2}

3 0
3 years ago
Describe the transformation that maps the pre-image A to the image A.
jolli1 [7]

Answer:

C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Step-by-step explanation:

by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin

3 0
2 years ago
12.5 = 3x = 20
kotegsom [21]
The correct answer would be B
7 0
3 years ago
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