22.05.2022

17 + 15 / 3 - 2⁴ and 12⁰ + 3 x 4 - 5¹

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24.06.2023, solved by verified expert
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17+15=32/ 3-2⁴= -5 and 12⁰+3*4-5¹=28

Step-by-step explanation:

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Mathematics
Step-by-step answer
P Answered by PhD

17+15=32/ 3-2⁴= -5 and 12⁰+3*4-5¹=28

Step-by-step explanation:

Mathematics
Step-by-step answer
P Answered by PhD

 See below

Step-by-step explanation:

4) You made an error in step 3

Step 1: -x³ + 22x² - 121x = 0

Step 2: -x(x² - 22x + 121) = 0

Step 3: -x(x - 11²) = 0       Error!

           -x(x - 11)² = 0        Correction

Step 4: -x = 0     (x - 11)² = 0

Step 5:    x = 0      x = 11

15) Your work is correct

    n = 8, n = -9      BOTH answers are correct

n = 8      Error!  

              n = 8, n = -9    Correction

18) The formula is: h(t) =at² + vt + h(0)

a = -4.9   acceleration is negative because gravity pushes downv = 24.5  velocity is positive because it states it is "upward"h(0) = 117.6    h(0) is initial height

h(t) = -4.9t² + 24.5t + 117.6      option 3

19) Now that you have the correct equation, you can use the quadratic formula to solve for t

t = -3, t = 8

Since time cannot be negative, t = -3 is not valid

t = 8    option 1

20) It is given that h(t) = 49

Equation: 49 = -4.9t² + 24.5t + 117.6

                 0 = -4.9t² + 24.5t + 68.6

Use the quadratic equation to solve: t = -2, t = 7

Since time cannot be negative, t = -2 is not valid

t =7

Mathematics
Step-by-step answer
P Answered by Specialist
For number 1, you divide both sides by -3 and because it is a negative number, you need to flip the sign so the answer is d.
For number 2, because you need to make the x by itself, you multiply both sides by 5 which gives you c.
For number 3, you add both sides by 4 so you get a.
For number 4, you find the number between -5 and 0 so the answer is c.
For number 5, the answer is b. nothing much to explain.
For number 6, its the greater than with the line underneath
For number 7, the answer is d.
For number 8, b
For number 9, c
For number 10, A
Mathematics
Step-by-step answer
P Answered by Specialist
For number 1, you divide both sides by -3 and because it is a negative number, you need to flip the sign so the answer is d.
For number 2, because you need to make the x by itself, you multiply both sides by 5 which gives you c.
For number 3, you add both sides by 4 so you get a.
For number 4, you find the number between -5 and 0 so the answer is c.
For number 5, the answer is b. nothing much to explain.
For number 6, its the greater than with the line underneath
For number 7, the answer is d.
For number 8, b
For number 9, c
For number 10, A
Mathematics
Step-by-step answer
P Answered by PhD
1) There are no solutions for this equation in the solution set. 

2) The solution set is {5} because 15/5 = 3 

3) The solution set is {8} because
31 = 3 (8) + 7 \\ 31 = 24 + 7 \\ 31 = 31 

4) The solution set is {20} because 20 - 13 = 7 

5) The solution set is {66} because 22 x 3 = 66 

6)
A = 32 - 9(2) \\ A = 32 - 18\\ A = 14 

7)
12 \times \frac{5}{15} - 3 = Y \\\\ 12 \times \frac{1}{3} -3 = Y \\\\ 4 -3 = Y \\ Y =1 

8) 
27 + \frac{5}{16} = G\\\\G = \frac{432 + 5}{16}\\\\G = \frac{437}{16}\\\\G = 27 \frac{5}{16}

9) 
R = \frac{9(6)}{ ( 8 + 1 ) 3}\\\\R = \frac{54}{9(3)} \\\\R = \frac{54}{27}\\\\ R = 2

10) 
15,579 + 6,220 + 18,995 = G\\\\ G = 40,794

11) The solution set is {6, 7} because:
 6 -2 < 6, which is 4 < 6
AND
7 - 2 < 6, which is 5 < 6

12) The solution set is {9, 11} because:
3 ≥ 25/9, which is 3 ≥ 2.77777777778
AND
3 ≥ 25/11, which is 3 ≥ 2.2727272727

Hope this helps :D
Mathematics
Step-by-step answer
P Answered by PhD
1) There are no solutions for this equation in the solution set. 

2) The solution set is {5} because 15/5 = 3 

3) The solution set is {8} because
31 = 3 (8) + 7 \\ 31 = 24 + 7 \\ 31 = 31 

4) The solution set is {20} because 20 - 13 = 7 

5) The solution set is {66} because 22 x 3 = 66 

6)
A = 32 - 9(2) \\ A = 32 - 18\\ A = 14 

7)
12 \times \frac{5}{15} - 3 = Y \\\\ 12 \times \frac{1}{3} -3 = Y \\\\ 4 -3 = Y \\ Y =1 

8) 
27 + \frac{5}{16} = G\\\\G = \frac{432 + 5}{16}\\\\G = \frac{437}{16}\\\\G = 27 \frac{5}{16}

9) 
R = \frac{9(6)}{ ( 8 + 1 ) 3}\\\\R = \frac{54}{9(3)} \\\\R = \frac{54}{27}\\\\ R = 2

10) 
15,579 + 6,220 + 18,995 = G\\\\ G = 40,794

11) The solution set is {6, 7} because:
 6 -2 < 6, which is 4 < 6
AND
7 - 2 < 6, which is 5 < 6

12) The solution set is {9, 11} because:
3 ≥ 25/9, which is 3 ≥ 2.77777777778
AND
3 ≥ 25/11, which is 3 ≥ 2.2727272727

Hope this helps :D
Mathematics
Step-by-step answer
P Answered by PhD
1) There are no solutions for this equation in the solution set.

2) The solution set is {5} because 15/5 = 3

3) The solution set is {8} because 31 = 3 (8) + 7 \\ 31 = 24 + 7 \\ 31 = 31

4) The solution set is {20} because 20 - 13 = 7

5) The solution set is {66} because 22 x 3 = 66

6) A = 32 - 9(2) \\ A = 32 - 18\\ A = 14

7) 12 \times \frac{5}{15} - 3 = Y \\\\ 12 \times \frac{1}{3} -3 = Y \\\\ 4 -3 = Y \\ Y =1

8) 27 + \frac{5}{16} = G\\\\G = \frac{432 + 5}{16}\\\\G = \frac{437}{16}\\\\G = 27 \frac{5}{16}

9) R = \frac{9(6)}{ ( 8 + 1 ) 3}\\\\R = \frac{54}{9(3)} \\\\R = \frac{54}{27}\\\\ R = 2

10) 15,579 + 6,220 + 18,995 = G\\\\ G = 40,794

11) The solution set is {6, 7} because:
 6 -2 < 6, which is 4 < 6
AND
7 - 2 < 6, which is 5 < 6

12) The solution set is {9, 11} because:
3 ≥ 25/9, which is 3 ≥ 2.77777777778
AND
3 ≥ 25/11, which is 3 ≥ 2.2727272727

Hope this helps :D
Mathematics
Step-by-step answer
P Answered by PhD

Option (3)

Step-by-step explanation:

By using quadratic regression calculator,

Regression equation for the given data will be,

y = -1.04x²- 3.51x + 49.41

For x = 27 years (In year 2017),

y = 1.04(27)² - 3.51(27) + 49.41

  = 758.16 - 94.77 + 49.41

  = 712.8

Since y-values are in thousand (000's)

Therefore, number of books published in 2017 will be 712800.

Option (3) will be the correct option.

Mathematics
Step-by-step answer
P Answered by PhD

Option (3)

Step-by-step explanation:

By using quadratic regression calculator,

Regression equation for the given data will be,

y = -1.04x²- 3.51x + 49.41

For x = 27 years (In year 2017),

y = 1.04(27)² - 3.51(27) + 49.41

  = 758.16 - 94.77 + 49.41

  = 712.8

Since y-values are in thousand (000's)

Therefore, number of books published in 2017 will be 712800.

Option (3) will be the correct option.

Mathematics
Step-by-step answer
P Answered by Master
1. x/-3=-15
x=45

2. -7+3(-12)÷-3
-7+12
5

3. f(-4)=(-4)²-(-4)
f(-4)=16-(-4)
f(-4)=20

4. x-9=17

5. 2x+3=35

6. -8-12-(-20)
-20-(-20)
0

7. -2(-3)²(-1)
-2(9)(-1)
-18(-1)
18

8. x-(-2)

9. subtract 7 then divide by -2

10. 6+(-18)+(-13)+9
-12-4
-16

11. 5x=11

12. division property

13. -3³ = -27

14. x/2-3=7
x/2=10
x=20

15. 2x-5=15

16. x/-4-(-8)=12
x/-4=4
x=-16

17. 168

18. 16-20-(-8)-9
-4-(-8)-9
4-9
-5 

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