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Artemon [7]
3 years ago
8

What is the common difference for this arithmetic sequence?

Mathematics
2 answers:
Vesna [10]3 years ago
6 0

Answer:

C. 17.

Step-by-step explanation:

48 - 31 = 17

65 - 48 = 17

82 - 65 = 17.

Gala2k [10]3 years ago
6 0

Answer:

C. 17

Step-by-step explanation:

48 - 31 = 17

65 - 48 = 17

82 - 65 = 17

and so on.

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What is the contra positive of the statement if 9x=27, then x=3
Karo-lina-s [1.5K]

Answer:

If 9x is not =27, then x is not =3

Step-by-step explanation:

Going out on a limb here, please ignore if I'm missing it:

If 9x is not =27, then x is not =3

(I can't type the equal sign with a slash through it.)

7 0
3 years ago
How to solve 4x-c=k solve for x
Tresset [83]

Answer:

x = \frac{k + c}{4}

Step-by-step explanation:

<em><u>Given:</u></em>

4x - c = k

<em><u>Solve for:</u></em>

x

<em><u>Solution:</u></em>

(1) Let's move all of components that do not contain x (our target) to the right side (notice the change of sign of c from negative to positive):

4x = k + c

(2) Let's divide both sides of equation by 4:

\frac{4x}{4}  = \frac{k + c}{4}

(3) Now, we simplify the left side:

x = \frac{k + c}{4}

This is the solution.

Hope this helps!

:)

3 0
4 years ago
A binary operation is defined on the set of real numbers ℝ by
zloy xaker [14]

Answer:

I. m = 2401

II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Step-by-step explanation:

I. Determination of m

x ∆ y = x² − 2xy + y²

2 ∆ − 5 = √m

2² − 2(2 × –5) + (–5)² = √m

4 – 2(–10) + 25 = √m

4 + 20 + 25 = √m

49 = √m

Take the square of both side

49² = m

2401 = m

m = 2401

II. Simplify ((n+1) ∆ y)/n

We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:

x ∆ y = x² − 2xy + y²

(n+1) ∆ y = (n+1)² – 2(n+1)y + y²

(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²

(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1

(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1

(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1

(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1

(n+1) ∆ y = (n – y + 2)(n – y) + 1

((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n

((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

7 0
3 years ago
Greater five ones and nine thousandths
Kazeer [188]
? idont understsnd be more specific
6 0
3 years ago
If ADEF is reflected over the x-axis, what would be the coordinates of point F?
Brut [27]

Answer:

Please check the explanation.

Step-by-step explanation:

Let the coordinates of the point F be (x, y).

When a point F(x, y) is reflected over the x-axis, the x-coordinate of the point F remains the same, and the y-coordinate of the point reverses the sign.

Thus, the rule of reflection over the x-axis:

F(x, y)   →    F'(x, -y)

Here,

F'(x, -y) would be coordinates of point F after the reflection over the x-axis.

Let say, the point F(1, 2).

The coordinate of the point F after the reflection over the x-axis would be:

F(1, 2)   →    F'(1, -2)

Thus, F'(1, -2) would be the coordinates of point F after the reflection over the x-axis.

6 0
3 years ago
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