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Olin [163]
2 years ago
8

Find "both" answers

Mathematics
1 answer:
Eva8 [605]2 years ago
8 0

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

  • (2, 10)
  • (3, 13)

Slope = m = y₂-y₁ / x₂-x₁

                 = (13-10) / (3-2)

                 = 3 / 1

                 = 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3,  d=16-13=3,  d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

                                                                         = 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3,  d=16-13=3,  d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

<u>RESULT </u>

From the above calculations, we conclude that:

  • Slope =  3
  • The common difference between consecutive terms of the arithmetic sequence = 3
  • The difference between the terms a₂ and a₄ = 6
  • The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

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Y is directly proportional to x squared. if y=12 when x=2 find x when y=48
Alexxx [7]

Answer:

x = 4

Step-by-step explanation:

y = kx²

NOTE: k is constant for proportionality

putting values for x and y

if x is 2

and y is 12

12 = k(2)²

12 = k4

12 = 4k

divide both sides by coefficient of k

12÷4 = 4k ÷ 4

k=3

substitute 3 for k

therefore when

y is 48

and k is constant 3

then x will be:

48=3x²

divide both sides by coefficient of x²

48 divide by 3 = 3x² divide by 3

16=x²

take the square root of both sides

√16 = √x²

x = 4

8 0
3 years ago
The sides of a rectangle are -5x + 10 and x – 4. Write an expression for its perimeter.
Romashka-Z-Leto [24]

Answer:

-8x+12

Step-by-step explanation:

Solve:

2(-5x + 10) + 2(x-4)= perimeter

-10x+20 + 2x-8= perimeter

-8x+12= perimeter

Hope this helps! :)

6 0
3 years ago
Which ratio is not equivalent to the other three? A 2 3 B 12 15 C 18 27 D 6 9
finlep [7]

Answer: B= 12 15

Step-by-step explanation:

The given ratios are

A) 2 3= 2: 3  already in its simplest form

B)  12 15 =12:15 Changing to its simplest form, we divide both by 3 giving us           4:5

C)  18 27 =18: 27  Changing to its simplest form, we divide both numbers by 9 giving us =2:3        

D)6 9=6:9  Changing to its simplest form, we divide both by 3 giving us  

       2:3

Therefore the ratio not equivalent to other three is 12:15

4 0
2 years ago
11. Which statement is true about the characteristics of the three lines in
Vikki [24]
They have the same slope. All three lines are parallel. Any parallel lines have equal slopes.
4 0
3 years ago
If f(x) = 3x²+2 and g(x)=x2-9, find (f- g)(x).
Solnce55 [7]

Answer:

Step-by-step explanation:

Depending on whether or not the g(x) is x^2 or 2x, I have both ways.

If g(x) is x^2 - 9...

--> (3x^2 + 2) - (x^2 - 9) = 2x^2 + 11

If g(x) is 2x...

--> (3x^2 + 2) - (2x - 9) = 3x^2 - 2x + 11

Hope this helps!

4 0
2 years ago
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