Given 9, 12, 15, 18, 21, 24 ... Write an algebraic representation for this sequence.

Answer:

1. Distributive Property

2. Subtraction Property of Equality

3. Addition Property of Equality

The property that justifies each step of 5(x-1) = 4x + 13 is 5x - 5 = 4x + 13.

Distributive property is when we distribute and multiply in between addition and subtraction

Given 5(x-1) = 4x + 3.

We know a(b+c) = ab + ac which is distributive property.

So, 5(x-1) = 4x + 3.

5x - 5 = 4x + 3.

Solving these problem and finding the value of x

5x - 5 = 4x + 13.

5x - 4x = 13 + 5.

x = 18.

learn more about distributive property here :

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Given:

The sum of a number times 10 and 16 is at most 28.

To find:

The inequality for the given statement.

Solution:

Let the unknown number be c.

A number times 10  = 10c

Sum of a number times 10 and 16 = 10c + 16

At most 28 = Number should less than or equal to 28.

The inequality for given sentence is

[tex]10c+16\leq 28[/tex]

Therefore, the required inequality is [tex]10c+16\leq 28[/tex].

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

[tex]m = \frac{ - 86 - - 96}{87 - 82} = \frac{ - 86 + 96}{5} = \frac{10}{5} = 2 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

1. -35, 2

2. -72, -6

3. -16, 0

4. 40, 13

5. -15, 2

6. -30, 7

7. 30, 11

8. 42, -13

9. -3, -24

10. -4, 20

11. 7, 1

12. 4, -24

13. -7, -70

14. 4, 9

15. 7, -3

16. 9, 3

17. -10, 11

18. 6, -5

19. 11, 6

20. 1, -9

21. -9, 4

22. -8, 7

23. 6, 4

24. -7, -5

25. 11, 4

26. 10, 3

27. -8, 5

28. -9, 0

Answer:

4

Step-by-step explanation:

We can find the LCM of the 2, being 4.

Answer: 4 days later

The soccer team goes every two days. The American football team goes every 4 days.

After one time of soccer practice, next time the football team will be there.

The football team goes every four days, so after one day of soccer practice, the Football team has to share the field.

7p = - 42

p = -42/7

p = - 6

lol

i believe it is both but im not 100%

1)

[tex]f(x) = 2x - 5\\f(4) = 2(4) - 5 = 8 - 5 = 3[/tex]

2)

[tex]f(x) = 2x - 5\\f(-6) = 2(-6) - 5 = -12 - 5 = -17[/tex]

3)

[tex]g(x) = x + 3\\g(8) = 8 + 3 = 11[/tex]

4)

[tex]h(x) = 4x\\h(5) = 4 \cdot 5 = 20[/tex]

5)

[tex]k(x) = x^2 + 2x - 5\\k(6) = 6^2 + 2 \cdot 6 - 5 = 36 + 12 - 5 = 43[/tex]

6)

[tex]k(x) = x^2 + 2x - 5\\k(-3) = (-3)^2 + 2(-3) - 5 = 9 - 6 - 5 = -2[/tex]

7)

[tex]g(x) = x + 3\\g(3x) = 3x + 3 = 3(x + 1)[/tex]

8)

[tex]f(x) = 2x - 5\\f(4x) = 2(4x) - 5 = 8x - 5[/tex]

9)

[tex]h(x) = 4x\\h(5t) = 4(5t) = 20t[/tex]

10)

[tex]k(x) = x^2 + 2x - 5\\k(4t) = (4t)^2 + 2(4t) - 5 = 16t^2 + 8t - 5[/tex]

11)

[tex]f(x) = 2x - 5\\f(x + 3) = 2(x + 3) - 5 = 2x + 6 - 5 = 2x + 1[/tex]

12)

[tex]f(x) = 2x - 5\\g(x) = x + 3\\f(g(x)) = 2(x + 3) - 5 = 2x + 6 - 5 = 2x + 1[/tex]

Answer:m=4

Step-by-step explanation:Use the slope formula. The set up would be -4-4/-2-0. This gives us -8/-2 which you can simplify to 4.

Answer:

6p² + 7m and 63m + 81

Step-by-step explanation:

all you need to do for the first one is add the P and the M together and the - one M then for the second one you just need to multiply 21 and 27 by 3

Answer:

5c + 2.12

Step-by-step explanation:

I hope this helps!

Answer:

2835

Step-by-step explanation:

Answer:

D          

Step-by-step explanation:

Answer:

a3

Step-by-step explanation:

Answer:

35 degree celcuis

Step-by-step explanation:

Step-by-step explanation:

figziigx8tzztizjgztizgixoxvyxoyxitzigxohx9yssoyxr8axyoz74zt9ztxyxt8xoyxoy

Answer:

x > 0

Step-by-step explanation:

Tell if it works

Answer:

you take 7.50 and divide it by 3 which equals $2.50

Answer:

y= -4-x divided by 2

Step-by-step explanation:

Isolate the varible your trying to solve, make sure what you do on one side of the equation, you do to the other.

Answer:

-4

Step-by-step explanation:

i think it is but maybe

Answer:

-8

Step-by-step explanation:

The temperature dropped 8 degree, resulting in a negative change. So the integer to represent it would be negative 8 degrees.

Answer:The Answer is Answer is B

Answer:

The correct option is;

Arithmetic, common difference = -10

Step-by-step explanation:

The x terms given of the sequence are;

x         [tex]{}[/tex]  1          2         3         4      

f(x)      [tex]{}[/tex]   5        -5       -15        -25

For a geometric progression, a·r/a = a·r²/ar = ar³/ar² = (n + 1)/n = r

We check to obtain -5/5 ≠ -15/(-5), therefore, the system is not a geometric progression

For ab arithmetic progression, we have;

(n + 1)th term - nth term = (n + 2)th term - (n + 1)th term = d (The common difference

We check to obtain -5 - 5 10, -15 - (-5) = -15 + 5 = -10 similarly, we have; -25 - (-15) = -25 + 15 = -10

Therefore, the sequence is an arithmetic sequence, with common difference = -10.

Answer:

option 1 A)arithmetic,common difference= -10

Step-by-step explanation:

i took the test and got the answer correct